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【327815】2023年湖北省黄冈市中考数学真题

时间:2025-01-20 20:21:11 作者: 字数:20930字
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2023年湖北省黄冈市中考数学真题

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得分




一、选择题

1. <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 的相反数是(       
A
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
B
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
C
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
D
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>

2.2023年全国普通高校毕业生规模预计达到1158万人,数11580000用科学记数法表示为(       
A
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
B
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
C
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
D
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>

3.下列几何体中,三视图都是圆的是(       
A
.长方体
B
.图柱
C
.圆锥
D
.球

4.不等式 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 的解集为(       
A
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
B
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
C
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
D
.无解

5.如图, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 的直角顶点A在直线a上,斜边 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 在直线b上,若 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>        
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>    
A <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
B
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
C
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
D
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>

6.如图,在 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 中,直径 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 与弦 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 相交于点P,连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,若 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>        
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>    
A <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
B
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
C
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
D
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>

7.如图,矩形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,以点B为圆心,适当长为半径画弧,分别交 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 于点EF,再分别以点EF为圆心,大于 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 长为半径画弧交于点P,作射线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,过点C <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 的垂线分别交 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 于点MN,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 的长为(       
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>    
A <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
B
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
C
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
D
4

8.已知二次函数 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 的图象与x轴的一个交点坐标为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,对称轴为直线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,下列论中:① <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ;②若点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 均在该二次函数图象上,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ;③若m为任意实数,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ;④方程 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 的两实数根为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,且 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> .正确结论的序号为(       
A
.①②③
B
.①③④
C
.②③④
D
.①④

评卷人

得分




二、填空题

9.计算; <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> _____________

10.请写出一个正整数m的值使得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 是整数; <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> _____________

11.若正n边形的一个外角为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> _____________

12.已知一元二次方程 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 的两个实数根为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,若 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,则实数 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> _____________

13.眼睛是心灵的窗户为保护学生视力,启航中学每学期给学生检查视力,下表是该校某班39名学生右眼视力的检查结果,这组视力数据中,中位数是_____________

视力

4.0

4.1

4.2

4.3

4.4

4.5

4.6

4.7

4.8

4.9

50

人数

1

2

6

3

3

4

1

2

5

7

5



14.综合实践课上,航模小组用航拍无人机进行测高实践.如图,无人机从地面 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 的中点A处竖直上升30米到达B处,测得博雅楼顶部E的俯角为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,尚美楼顶部F的俯角为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,已知博雅楼高度 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 15米,则尚美楼高度 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> _____________米.(结果保留根号)
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>    

15.如图,是我国汉代的赵爽在注解《周髀算经》时给出的,人们称它为“赵爽弦图”,它是由四个全等的直角三角形和一个小正方形组成的一个大正方形.设图中 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,若 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 的面积相等,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ___________
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>    

16.如图,已知点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,点By轴正半轴上,将线段 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 绕点A顺时针旋转 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 到线段 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,若点C的坐标为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ___________
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>    

评卷人

得分




三、解答题

17.化简: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>

18.创建文明城市,构建美好家园.为提高垃圾分类意识,幸福社区决定采购AB两种型号的新型垃圾桶.若购买3A型垃圾桶和4B型垃圾桶共需要580元,购买6A型垃圾桶和5B型垃圾桶共需要860元.
(1)
求两种型号垃圾桶的单价;
(2)
若需购买AB两种型号的垃圾桶共200个,总费用不超过15000元,至少需购买A型垃圾桶多少个?

19.打造书香文化,培养阅读习惯,崇德中学计划在各班建图书角,开展“我最喜欢阅读的书篇”为主题的调查活动,学生根据自己的爱好选择一类书籍(A:科技类,B:文学类,C:政史类,D:艺术类,E:其他类).张老师组织数学兴趣小组对学校部分学生进行了问卷调查,根据收集到的数据,绘制了两幅不完整的统计图(如图所示).
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>    
根据图中信息,请回答下列问题;
(1)
条形图中的 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ________ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ________,文学类书籍对应扇形圆心角等于________度;
(2)
若该校有2000名学生,请你估计最喜欢阅读政史类书籍的学生人数;
(3)
甲同学从ABC三类书籍中随机选择一种,乙同学从BCD三类书籍中随机选择一种,请用画树状图或者列表法求甲乙两位同学选择相同类别书籍的概率.

20.如图, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 中,以 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 为直径的 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 的切线,且 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,垂足为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,延长 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>    
(1)求证: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
(2)
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,求 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 的长.

21.如图,一次函数 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 与函数为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 的图象交于 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 两点.
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>    
(1)求这两个函数的解析式;
(2)
根据图象,直接写出满足 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> x的取值范围;
(3)
P在线段 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 上,过点Px轴的垂线,垂足为M,交函数 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 的图象于点Q,若 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 面积为3,求点P的坐标.

22.加强劳动教育,落实五育并举.孝礼中学在当地政府的支持下,建成了一处劳动实践基地.2023年计划将其中 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 的土地全部种植甲乙两种蔬菜.经调查发现:甲种蔬菜种植成本y(单位;元/ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> )与其种植面积x(单位: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> )的函数关系如图所示,其中 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ;乙种蔬菜的种植成本为50/ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>    
(1) <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ___________ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> / <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
(2)
2023年甲乙两种蔬菜总种植成本为W元,如何分配两种蔬菜的种植面积,使W最小?
(3)
学校计划今后每年在这 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 土地上,均按(2)中方案种植蔬菜,因技术改进,预计种植成本逐年下降,若甲种蔬菜种植成本平均每年下降 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,乙种蔬菜种植成本平均每年下降 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,当a为何值时,2025年的总种植成本为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 元?

23.(问题呈现)
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 都是直角三角形, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,探究 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 的位置关系.
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>    
(1)如图1,当 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 时,直接写出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 的位置关系:____________
(2)
如图2,当 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 时,(1)中的结论是否成立?若成立,给出证明;若不成立,说明理由.
(
拓展应用)
(3)
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 时,将 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 绕点C旋转,使 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 三点恰好在同一直线上,求 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 的长.

24.已知抛物线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> x轴交于 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 两点,与y轴交于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,点P为第一象限抛物线上的点,连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>     <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>       <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>    
(1)直接写出结果; <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> _____ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> _____,点A的坐标为_____ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ______
(2)
如图1,当 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 时,求点P的坐标;
(3)
如图2,点Dy轴负半轴上, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,点Q为抛物线上一点, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,点EF分别为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 的边 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 上的动点, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,记 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 的最小值为m
m的值;
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 的面积为S,若 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,请直接写出k的取值范围.

参考答案

1.B

【解析】
根据只有符号不同的两个数互为相反数进行解答即可得.
解: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 的相反数是 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
故选:B

2.A

【解析】
用科学记数法表示较大的数时,一般形式为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,其中 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 为整数,且 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 比原来的整数位数少1,据此判断即可.
解: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
故选:A

3.D

【解析】
根据几何体的三视图进行判断即可.
解:在长方体、图柱、圆锥、球四个几何体中,三视图都是圆的是球,
故选:D

4.C

【解析】
先求出两个不等式的解集,再求交集即可.
解:解不等式 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
解不等式 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
因此该不等式组的解集为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
故选C

5.C

【解析】
利用平行线的性质及直角三角形两内角互余即可得解;
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
故选择:C

6.D

【解析】
先根据圆周角定理得出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,再由三角形外角和定理可知 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,再根据直径所对的圆周角是直角,即 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,然后利用 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 进而可求出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
解:∵ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
又∵ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 为直径,即 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
故选:D

7.A

【解析】
由作图可知 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 平分 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,设 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 交于点O,与 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 交于点R,作 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 于点Q,根据角平分线的性质可知 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,进而证明 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,推出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,设 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,解 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 求出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> .利用三角形面积法求出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,再证 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,根据相似三角形对应边成比例即可求出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
解:如图,设 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 交于点O,与 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 交于点R,作 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 于点Q
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>    
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 矩形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
由作图过程可知, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 平分 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 四边形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 是矩形,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 中,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 中,由勾股定理得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
解得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,即 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
解得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
故选A

8.B

【解析】
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 代入 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,可判断①;根据抛物线的对称轴及增减性可判断②;根据抛物线的顶点坐标可判断③;根据 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 的图象与x轴的交点的位置可判断④.
解:将 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 代入 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,可得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
故①正确;
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 二次函数图象的对称轴为直线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 到对称轴的距离分别为:413
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 图象开口向下,离对称轴越远,函数值越小,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
故②错误;
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 二次函数图象的对称轴为直线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 时,y取最大值,最大值为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
即二次函数 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 的图象的顶点坐标为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> m为任意实数,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
故③正确;
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 二次函数图象的对称轴为直线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,与x轴的一个交点坐标为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> x轴的另一个交点坐标为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 的图象向上平移一个单位长度,即为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 的图象,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 的图象与x轴的两个交点一个在 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 的左侧,另一个在 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 的右侧,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 若方程 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 的两实数根为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,且 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
故④正确;
综上可知,正确的有①③④,
故选B

9.2

【解析】
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 的偶数次方为1,任何不等于0的数的零次幂都等于1,由此可解.
解: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
故答案为:2

10.8

【解析】
要使 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 是整数,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 要是完全平方数,据此求解即可
解:∵ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 是整数,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 要是完全平方数,
正整数m的值可以为8,即 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,即 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
故答案为:8(答案不唯一).

11.5

【解析】
正多边形的外角和为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,每一个外角都相等,由此计算即可.
解:由题意知, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
故答案为:5

12. <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>

【解析】
根据一元二次方程的根与系数的关系,得出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,代入已知等式,即可求解.
解:∵一元二次方程 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 的两个实数根为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
解得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
故答案为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>

13.4.6

【解析】
数据按从小到大排列,若数据是偶数个,中位数是最中间两数的平均数,若数据是奇数个,中位数是正中间的数.
解:该样本中共有 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 个数据,按照右眼视力从小到大的顺序排列,第 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 个数据是 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,所以学生右眼视力的中位数为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>

14. <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ## <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>

【解析】
过点E <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 于点M,过点F <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 于点N,首先证明出四边形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 是矩形,得到 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,然后根据等腰直角三角形的性质得到 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,进而得到 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,然后利用 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 角直角三角形的性质和勾股定理求出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,即可求解.
如图所示,过点E <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 于点M,过点F <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 于点N
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>    
由题意可得,四边形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 是矩形,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
博雅楼顶部E的俯角为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
A <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 的中点,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
由题意可得四边形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 是矩形,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
尚美楼顶部F的俯角为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
解得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
故答案为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>

15. <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>

【解析】
根据题意得出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,即 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,解方程得出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> (负值舍去)代入进行计算即可求解.
解:∵图中 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 的面积相等,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
解得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> (负值舍去)
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
故答案为:3

16. <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>

【解析】
x轴上取点D和点E,使得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,过点C <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 于点F,在 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 中,解直角三角形可得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,再证明 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,求得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,在 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 中,得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,得到 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,解方程即可求得答案.
解:在x轴上取点D和点E,使得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,过点C <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 于点F
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>    
C的坐标为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
解得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
故答案为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>

17. <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>

【解析】
先计算同分母分式的减法,再利用完全平方公式约分化简.
解: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>

18.(1)AB两种型号的单价分别为60元和100
(2)
至少需购买A型垃圾桶125

【解析】
1)设两种型号的单价分别为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 元和 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 元,然后根据题意列出二元一次方程组求解即可;
2)设购买A型垃圾桶 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 个,则购买A型垃圾桶 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 个,根据题意列出一元一次不等式并求解即可.
1)解:设AB两种型号的单价分别为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 元和 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 元,
由题意: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
解得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
AB两种型号的单价分别为60元和100元;
2)设购买A型垃圾桶 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 个,则购买B型垃圾桶 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 个,
由题意: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
解得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
至少需购买A型垃圾桶125个.

19.(1)186 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
(2)480

(3)
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>

【解析】
1)根据选择“E:其他类”的人数及比例求出总人数,总人数乘以A占的比例即为m,总人数减去ABC E的人数即为n360度乘以B占的比例即为文学类书籍对应扇形圆心角;
2)利用样本估计总体思想求解;
3)通过列表或画树状图列出所有等可能的情况,再从中找出符合条件的情况数,再利用概率公式计算.
1)解:参与调查的总人数为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> (人),
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
文学类书籍对应扇形圆心角 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
故答案为:186 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
2)解: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> (人),
因此估计最喜欢阅读政史类书籍的学生人数为480人;
3)解:画树状图如下:
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>    
由图可知,共有9种等可能的情况,其中甲乙两位同学选择相同类别书籍的情况有2种,
因此甲乙两位同学选择相同类别书籍的概率为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>

20.(1)见解析
(2)
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>

【解析】
1)连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,根据已知可得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,又 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,等量代换得出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,即可证明 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
2)连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,证明 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,在 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,求得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,根据 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 得出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,进而可得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,根据 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,即可求解.
1)证明:如图所示,连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>    
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 为直径的 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 的切线,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
2)解:连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,如图,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>    
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
又∵ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 是直径,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>

21.(1) <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
(2)
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
(3)
P的坐标为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>

【解析】
1)将 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 代入 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 可求反比例函数解析式,进而求出点B坐标,再将 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 和点B坐标代入 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 即可求出一次函数解析式;
2)直线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 在反比例函数图象上方部分对应的x的值即为所求;
3)设点P的横坐标为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,代入一次函数解析式求出纵坐标,将 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 代入反比例函数求出点Q的纵坐标,进而用含p的代数式表示出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,再根据 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 面积为3列方程求解即可.
1)解:将 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 代入 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,可得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
解得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 反比例函数解析式为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 图象上,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 代入 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,得:
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
解得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 一次函数解析式为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
2)解: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,理由如下:
由(1)可知 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
此时直线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 在反比例函数图象上方,此部分对应的x的取值范围为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
即满足 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 时,x的取值范围为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
3)解:设点P的横坐标为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 代入 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,可得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 代入 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,可得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
整理得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
解得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> P的坐标为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>

22.(1) <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
(2)
当甲种蔬菜的种植面积为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,乙种蔬菜的种植面积为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 时,W最小;
(3)
a <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 时,2025年的总种植成本为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 元.

【解析】
1)求出当 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 时,设甲种蔬菜种植成本y(单位;元/ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> )与其种植面积x(单位: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> )的函数关系式为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,当 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,求出当 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 时的x的值即可;
2)当 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,由二次函数性质得到当 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 有最小值,最小值为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,当 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,由一次函数性质得到当 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 有最小值,最小值为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,比较后即可得到方案;
3)根据2025年的总种植成本为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 元列出一元二次方程,解方程即可得到答案.
1)解:当 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 时,设甲种蔬菜种植成本y(单位;元/ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> )与其种植面积x(单位: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> )的函数关系式为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,把点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 代入得,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
解得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,解得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
即当 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> / <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
故答案为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
2)解:当 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
抛物线开口向上,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 有最小值,最小值为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 随着x的增大而减小,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 有最小值,最小值为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
综上可知,当甲种蔬菜的种植面积为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,乙种蔬菜的种植面积为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 时,W最小;
3)由题意可得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
解得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> (不合题意,舍去),
a <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 时,2025年的总种植成本为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 元.

23.(1) <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
(2)
成立;理由见解析
(3)
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>

【解析】
1)根据 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,得出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,证明 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,得出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,根据 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,求出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,即可证明结论;
2)证明 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,得出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,根据 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,求出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,即可证明结论;
3)分两种情况,当点E在线段 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 上时,当点D在线段 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 上时,分别画出图形,根据勾股定理求出结果即可.
1)解:∵ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
故答案为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>    
2)解:成立;理由如下:
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>    
3)解:当点E在线段 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 上时,连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,如图所示:
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>    
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
根据解析(2)可知, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
根据解析(2)可知, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
根据勾股定理得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
解得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> (舍去),
此时 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
当点D在线段 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 上时,连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,如图所示:
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>    
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
根据解析(2)可知, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
根据解析(2)可知, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
根据勾股定理得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
解得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> (舍去),
此时 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
综上分析可知, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>

24.(1) <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 2 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
(2)
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
(3)
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>

【解析】
1)利用待定系数法求二次函数解析式即可求得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,从而可得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,由 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,可得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,求得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,在 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 中,根据正切的定义求值即可;
2)过点C <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 轴,交 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 于点D,过点P <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 轴,交y轴于点E, 由 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,即 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,再由 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,可得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,证明 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,可得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,设点P坐标为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,可得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,再进行求解即可;
3)①作 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,且使 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> .根据 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 证明 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,可得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,即QFH共线时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 的值最小.作 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 于点G,设 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,根据 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 求出点Q的坐标,燃然后利用勾股定理求解即可;
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 轴,交 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 于点T,求出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 解析式,设 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,利用三角形面积公式表示出S,利用二次函数的性质求出S的取值范围,结合①中结论即可求解.
1)解:∵抛物线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 经过点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,解得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
抛物线解析式为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
抛物线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> x轴交于A <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 两点,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,解得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
故答案为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 2 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
2)解:过点C <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 轴,交 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 于点D,过点P <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 轴,交y轴于点E
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
由(1)可得, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,即 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 轴, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 轴,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
又∵ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
设点P坐标为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,解得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> (舍), <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
P坐标为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>    
3)解:①如图2,作 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,且使 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
QFH共线时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 的值最小.作 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 于点G
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> ,解得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> (舍去),
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>    
如图3,作 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 轴,交 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 于点T,待定系数法可求 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a> 解析式为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/276/" title="黄冈" class="c1" target="_blank">黄冈</a> <a href="/tags/557/" title="湖北" class="c1" target="_blank">湖北</a> <a href="/tags/975/" title="湖北省" class="c1" target="_blank">湖北省</a>