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【327888】2023年四川省遂宁市中考数学真题

时间:2025-01-20 20:35:41 作者: 字数:24634字
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2023年四川省遂宁市中考数学真题

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得分




一、选择题

1.已知算式 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的值为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,则“□”内应填入的运算符号为(       
A
.+
B
.-
C
×
D
÷

2.下列运算正确的是(       
A
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
B
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
C
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
D
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>

3.纳米是表示微小距离的单位,1纳米 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 毫米,而1毫米相当于我们通常使用的刻度尺上的一小格,可想而知1纳米是多么的小.中科院物理所研究员解思深领导的研究组研制出世界上最细的碳纳米管——直径 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 纳米. <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 纳米相当于 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 毫米,数据 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 用科学记数法可以表示为(       
A
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
B
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
C
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
D
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>

4.生活中一些常见的物体可以抽象成立体图形,以下立体图形中三视图形状相同的可能是(       
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>    
A.正方体
B
.圆锥
C
.圆柱
D
.四棱锥

5.《九章算术》是我国古代数学的经典书,书中有一个问题:“今有黄金九枚,白银一十一枚,称之重适等;交易其一,金轻十三两.问金、银一枚各重几何?”意思是甲袋中装有黄金9枚(每枚黄金重量相同),乙袋中装有白银11枚(每枚白银重量相同),称重两袋相等.两袋互相交换1枚后,甲袋比乙袋轻了13两(袋子重量忽略不计).问黄金、白银每枚各重多少两?设每枚黄金重x两,每枚白银重y两,则可列方程组为(       
A
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
B
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
C
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
D
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>

6.在方格图中,以格点为顶点的三角形叫做格点三角形.在如图所示的平面直角坐标系中,格点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 成位似关系,则位似中心的坐标为(       
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>    
A <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
B
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
C
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
D
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>

7.为增强班级凝聚力,吴老师组织开展了一次主题班会.班会上,他设计了一个如图的飞镖靶盘,靶盘由两个同心圆构成,小圆半径为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,大圆半径为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,每个扇形的圆心角为60度.如果用飞镖击中靶盘每一处是等可能的,那么小全同学任意投掷飞镖1次(击中边界或没有击中靶盘,则重投1次),投中“免一次作业”的概率是(       
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>    
A <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
B
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
C
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
D
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>

8.若关于x的不等式组 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的解集为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,则a的取值范围是(       
A
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
B
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
C
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
D
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>

9.如图,在 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,点P为线段 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 上的动点,以每秒1个单位长度的速度从点A向点B移动,到达点B时停止.过点P <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 于点M、作 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 于点N,连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,线段 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的长度y与点P的运动时间t(秒)的函数关系如图所示,则函数图象最低点E的坐标为(       
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>    
A <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
B
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
C
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
D
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>

10.抛物线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的图象如图所示,对称轴为直线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> .下列说法:① <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ;② <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ;③ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> t为全体实数);④若图象上存在点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 和点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,当 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 时,满足 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,则m的取值范围为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> .其中正确的个数有(       
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>    
A1
B
2
C
3
D
4

评卷人

得分




二、填空题

11.若三角形三个内角的比为123,则这个三角形按角分类是________三角形.

12.ab是一元二次方程 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的两个实数根,则代数式 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的值为_________

13.烷烃是一类由碳、氢元素组成的有机化合物,在生产生活中可作为燃料、润滑剂等原料,也可用于动、植物的养护.通常用碳原子的个数命名为甲烷、乙烷、丙烷、……、癸烷(当碳原子数目超过 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 个时即用汉文数字表示,如十一烷、十二烷……)等,甲烷的化学式为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,乙烷的化学式为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,丙烷的化学式为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ……,其分子结构模型如图所示,按照此规律,十二烷的化学式为_________
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>    

14.如图, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 为对角线,分别以点AB为圆心,以大于 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的长为半径画弧,两弧相交于点MN,作直线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 于点E,交 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 于点F,若 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的长为_________
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>    

15.如图,以 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的边 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 为腰分别向外作等腰直角 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,连结 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,过点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的直线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 分别交线段 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,以下说法:①当 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ;② <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ;③若 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ;④当直线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 时,点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 为线段 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的中点.正确的有_________(填序号)
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>    

评卷人

得分




三、解答题

16.计算: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>

17.先化简,再求值: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,其中 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>

18.为贯彻落实党的二十大关于深化全民阅读活动的重要部署,教育部印发了《全国青少年学生读书行动实施方案》,于是某中学开展了以“书香润校园,好书伴成长”为主题的系列读书活动.学校为了解学生周末的阅读情况,采用随机抽样的方式获取了若干名学生的周末阅读时间数据,整理后得到下列不完整的图表:

类别

A

B

C

D

阅读时长t(小时)

 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>

 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>

 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>

 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>

频数

8

m

n

4

 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>    
请根据图表中提供的信息,解答下面的问题:
(1)
此次调查共抽取了_________名学生, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> _________ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> _________
(2)
扇形统计图中,B类所对应的扇形的圆心角是_________度;
(3)
已知在D类的4名学生中有两名男生和两名女生,若从中随机抽取两人参加阅读分享活动,请用列表或画树状图的方法求出恰好抽到一名男生和一名女生的概率.

19.如图,四边形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,点O为对角线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的中点,过点O的直线l分别与 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 所在的直线相交于点EF.(点E不与点D重合)
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>    
(1)求证: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
(2)
当直线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 时,连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,试判断四边形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的形状,并说明理由.

20.我们规定:对于任意实数abcd <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,其中等式右边是通常的乘法和减法运算,如: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
(1)
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的值;
(2)
已知关于x的方程 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 有两个实数根,求m的取值范围.

21.端午节是我国入选世界非物质文化遗产的传统节日,端午节吃粽子是中华民族的传统习俗.某超市为了满足人们的需求,计划在端午节前购进甲、乙两种粽子进行销售,经了解.每个乙种粽子的进价比每个甲种粽子的进价多2元,用1000元购进甲种粽子的个数与用1200元购进乙种粽子的个数相同.
(1)
甲、乙两种粽子每个的进价分别是多少元?
(2)
该超市计划购进这两种粽子共200个(两种都有),其中甲种粽子的个数不低于乙种粽子个数的2倍,若甲、乙两种粽子的售价分别为12/个、15/个,设购进甲种粽子m个,两种粽子全部售完时获得的利润为w元.
wm的函数关系式,并求出m的取值范围;
超市应如何进货才能获得最大利润,最大利润是多少元?

22.某实践探究小组想测得湖边两处的距离,数据勘测组通过勘测,得到了如下记录表:

实践探究活动记录表

活动内容            测量湖边AB两处的距离

成员                         组长:×××                      组员:××××××××××××

测量工具                      测角仪,皮尺等

测量示意图

 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>

说明:因为湖边AB两处的距离无法直接测量,数据勘测组在湖边找了一处位置C.可测量C处到AB两处的距离.通过测角仪可测得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的度数.

测量数据

角的度数

 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>

 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>

 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>

边的长度

 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>

 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>

数据处理组得到上面数据以后做了认真分析.他们发现不需要勘测组的全部数据就可以计算出AB之间的距离.于是数据处理组写出了以下过程,请补全内容.
已知:如图,在 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> _________.(从记录表中再选一个条件填入横线)
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>    
求:线段 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的长.(为减小结果的误差,若有需要, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 进行计算,最后结果保留整数.)

23.如图,一次函数 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的图像与反比例函数 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的图像交于 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 两点.( <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 为常数)
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>    
(1)求一次函数和反比例函数的解析式;
(2)
根据图像直接写出不等式 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的解集;
(3)
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 轴上一点,若 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的面积为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,求 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 点的坐标.

24.如图,四边形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 内接于 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的直径, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,过点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的直线l <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的延长线于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,交 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的延长线于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,且 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>    
(1)求证: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的切线;
(2)
求证: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
(3)
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 时,求 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的长.

25.在平面直角坐标系中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 为坐标原点,抛物线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 经过点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,对称轴过点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,直线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 过点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,且垂直于 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 轴.过点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的直线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 交抛物线于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,交直线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,其中点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> Q在抛物线对称轴的左侧.
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>    
(1)求抛物线的解析式;
(2)
如图1,当 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 时,求点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的坐标;
(3)
如图2,当点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 恰好在 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 轴上时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 为直线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 下方的抛物线上一动点,连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,其中 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,设 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的面积为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的面积为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> .求 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的最大值.

参考答案

1.A

【解析】
根据相反数相加为0判断即可.
解:∵ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
∴“□”
内应填入的运算符号为+,
故选:A

2.C

【解析】
根据积的乘方、完全平方公式、合并同类项,同底数幂的乘法,依次进行判断即可得出结果.
解;A <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,本选项不符合题意;
B
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,本选项不符合题意;
C
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,本选项符合题意;
D
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,本选项不符合题意;
故选:C

3.D

【解析】
根据小于1的正数也可以利用科学记数法表示,一般形式为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,n为第一位有效数字前面0的个数.
解: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
故选:D

4.A

【解析】
根据几何体的三视图形状判定即可.
A.
正方体的三视图都是正方形,符合题意;
B.
圆锥的主视图是等腰三角形,左视图是等腰三角形,俯视图是圆(带圆心),不符合题意;
C.
圆柱的主视图是矩形,左视图是矩形,俯视图是圆,不符合题意;       
D. 四棱锥主视图是三角形,左视图是三角形,俯视图是四边形,不符合题意;       
故选A

5.C

【解析】
根据题意第一个等量关系为9枚黄金和11枚白银的重量相等列二元一次方程;再根据第二个等量关系为1枚黄金和10枚白银重量和比8枚黄金和1枚白银重量和大13列二元一次方程,即可得二元一次方程组.
解:设每枚黄金重x两,每枚白银重y两,根据题意得,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> .
故选:C.

6.A

【解析】
根据题意确定直线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的解析式为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,由位似图形的性质得出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 所在直线与BE所在直线x轴的交点坐标即为位似中心,即可求解.
解:由图得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
设直线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的解析式为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,将点代入得:
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,解得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
直线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的解析式为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 所在直线与BE所在直线x轴的交点坐标即为位似中心,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
位似中心的坐标为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
故选:A

7.B

【解析】
根据扇形面积公式求出免一次作业对应区域的面积,再根据投中“免一次作业”的概率 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 免一次作业对应区域的面积 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 大圆面积进行求解即可.
解:由题意得,大圆面积为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
免一次作业对应区域的面积为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
投中“免一次作业”的概率是 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
故选B

8.D

【解析】
分别求出各不等式的解集,再根据不等式组的解集是 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 求出a的取值范围即可.
解: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
解不等式①得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
解不等式②得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
关于 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的不等式组 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的解集为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
故选:D

9.C

【解析】
如图所示,过点C <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> D,连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,先利用勾股定理的逆定理证明 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 是直角三角形,即 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,进而利用等面积法求出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,则可利用勾股定理求出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ;再证明四边形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 是矩形,得到 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,故当点P与点D重合时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 最小,即 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 最小,此时 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 最小值为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,则点E的坐标为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
解:如图所示,过点C <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> D,连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 是直角三角形,即 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
四边形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 是矩形,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 最小时,即 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 最小,
当点P与点D重合时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 最小,即 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 最小,此时 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 最小值为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
E的坐标为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
故选C
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>        

10.C

【解析】
开口方向,对称轴,与y轴的交点位置判断①,特殊点判断②,最值判断③,对称性判断④即可.
抛物线的开口向下,对称轴为直线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,抛物线与y轴交点位于负半轴,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
故①正确;
由图象可知, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,根据对称轴,得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
故②正确;
抛物线的开口向下,对称轴为直线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
抛物线的最大值为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 时,其函数值为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
故③错误;
如图所示, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 和点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 满足 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>    
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 和点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 关于对称轴对称,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,
解得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
故④正确;
故选C

11.直角

【解析】
设一份为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,则三个内角的度数分别为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,然后根据三角形内角和进行求解即可.
解:设一份为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,则三个内角的度数分别为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
解得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
所以 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,即 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
故这个三角形是直角三角形.
故答案是:直角.

12.2

【解析】
根据根与系数的关系得到 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,由此即可得到答案.
解:∵ab是一元二次方程 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的两个实数根,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
故答案为:2

13. <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>

【解析】
根据碳原子的个数,氢原子的个数,找到规律,即可求解.
解:甲烷的化学式为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
乙烷的化学式为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
丙烷的化学式为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ……,
碳原子的个数为序数,氢原子的个数为碳原子个数的2倍多2个,
十二烷的化学式为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
故答案为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>

14.5

【解析】
连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,根据基本作图,得到 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,利用平行四边形的性质,得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,在 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 中,利用勾股定理计算即可.
解:如图所示,连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
根据基本作图,可设 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>       
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,由勾股定理得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
解得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
故答案为:5

15.①②④

【解析】
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 是等边三角形,根据等角对等边,以及三角形的内角和定理即可得出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,进而判断①;证明 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,根据全等三角形的性质判断②;作直线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> , 过点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,过点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,证明 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,即可得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的中点,故④正确,证明 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,可得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,在 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,在 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,得出  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,在 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 中,勾股定理即可求解.
解:①当 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 是等边三角形,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
等腰直角 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ;故①正确;
②∵
等腰直角 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ;故②正确;
如图所示,作直线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> , 过点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,过点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>    
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
又∵ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
同理得, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,即 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的中点,故④正确,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
解得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,故③错误
故答案为:①②④.

16. <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>

【解析】
根据特殊角的三角函数值,零指数幂,幂的运算法则计算即可.
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>

17. <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>

【解析】
先根据平方差公式,完全平方公式和分式的运算法则对原式进行化简,然后将 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 代入化简结果求解即可.
解: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 时,原式 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>

18.(1)401810
(2)162
(3)
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>

【解析】
1)根据A类学生的人数及占比可求得抽取的学生人数,继而求得mn的值;
2)用 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> B类人数的占比即可求解;
3)列表法展示所有12种等可能的结果,找出一名男生和一名女生的结果数,然后根据概率公式求解.
1)解: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ()
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
故答案为:401810
2)解: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
故答案为:162
3)解:画树状图为:
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>    
共有12种等可能的结果,其中一名男生和一名女生的结果数为8
所以恰好抽到一名男生和一名女生的概率 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>

19.(1)见解析
(2)
四边形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 为菱形;理由见解析

【解析】
1)根据 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 证明 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 即可;
2)连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,根据 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,得出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,根据 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,证明四边形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 为平行四边形,根据 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,证明四边形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 为菱形即可.
1)证明:∵点O为对角线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的中点,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 中,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
2)解:四边形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 为菱形,理由如下:
连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,如图所示:
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>    
根据解析(1)可知, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
四边形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 为平行四边形,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,即 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
四边形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 为菱形.

20.(1)10
(2)
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>

【解析】
1)根据新定义计算即可求解;
2)根据新定义得到一元二次方程,利用根的判别式列式计算即可求解.
1)解:∵ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
2)解:∵ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
整理得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
关于x的方程 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 有两个实数根,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,且 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
解得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>

21.(1)甲粽子每个的进价为10元,则乙粽子每个的进价为12元;
(2)①
wm的函数关系式为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ;②购进甲粽子134个,乙粽子66个才能获得最大利润,最大利润为466元.

【解析】
1)设甲粽子每个的进价为x元,则乙粽子每个的进价为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 元,根据“用1000元购进甲种粽子的个数与用1200元购进乙种粽子的个数相同”列出分式方程,解方程即可;
2)①设购进甲粽子m个,则乙粽子 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 个,,由题意得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,再由甲种粽子的个数不低于乙种粽子个数的2倍,得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
由一次函数的性质即可得出结论.
1)解:设甲粽子每个的进价为x元,则乙粽子每个的进价为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 元,
由题意得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
解得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
经检验: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 是原方程的解,且符合题意,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
答:甲粽子每个的进价为10元,则乙粽子每个的进价为12元;
2)解:①设购进甲粽子m个,则乙粽子 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 个,利润为w元,
由题意得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
甲种粽子的个数不低于乙种粽子个数的2倍,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
解得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
wm的函数关系式为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
②∵
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,则wm的增大而减小, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,即m的最小整数为134
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 时,w最大,最大值 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
答:购进甲粽子134个,乙粽子66个才能获得最大利润,最大利润为466元.

22. <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 米,线段 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的约长为77米; <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 米,线段 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的约长为77

【解析】
填入数据 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 米.作 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 于点D,在 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 中,解直角三角形即可求解.
1)当填入 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 米时:
已知:如图,在 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 米.(从记录表中再选一个条件填入横线)
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>    
求:线段 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的长.
解:作 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 于点D
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>    
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ()
答:线段 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的约长为77米.
2)当填入 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 米时:
已知:如图,在 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 米.(从记录表中再选一个条件填入横线)
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>    
求:线段 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的长.
解:作 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 于点D
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>    
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ()
答:线段 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的约长为77米.

23.(1) <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
(2)
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
(3)
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>

【解析】
1)利用待定系数法即可求出函数解析式;
2)根据图像位置关系即可得解;
3)设 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,当点P在直线下方时,画出图形,根据 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 关系列方程,然后解方程即可得解,同理,当点P在直线上方时,画出图形,根据 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 列方程求解即可.
1)解:将点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 代入 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
反比例函数的解析式为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
将点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 代入 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
将点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 分别代入 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
解得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
一次函数的解析式为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
2)根据图像可知,当 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 时,直线在反比例函数图像的上方,满足 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
不等式 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的解集为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
3 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 如图过点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 轴平行线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 交于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,分别过点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 作直线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 垂线,垂足分别为点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的面积为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 点的坐标为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>    
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 如图,过 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 轴于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,过 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 轴于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,设 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>    
由(1)得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 点的坐标为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
综上所述: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>

24.(1)见解析
(2)
见解析
(3)6

【解析】
1)连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,根据圆心角,弦,弧的关系可得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,根据直径所对的圆周角是90度可得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,半径相等可得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,根据等腰的判定可得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 是等腰三角形,根据等腰三角形三线合一的性质可得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 垂直平分 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,根据平行线的判定和性质可得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,即可证明;
2)连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,根据同弧所对的圆周角相等可得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,根据平行线的性质可得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,推得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,根据相似三角形的判定和性质可得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,即可求证;
3)令 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 交于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,根据正弦的定义可求得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,根据勾股定理可求得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,根据矩形的判定和性质可得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> , <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,根据相似三角形的判定和性质可求得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,即可求得.
1)连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,如图:
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>    
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
四边形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 内接于 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的直径,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 是等腰三角形,
又∵ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 垂直平分 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的切线;
2)连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,如图:
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>    
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
又∵ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
3)令 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 交于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,如图:
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>    
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
四边形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 为矩形,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>

25.(1) <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
(2)
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
(3)
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>

【解析】
1)待定系数法求解析式即可求解;
2)过点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,垂足为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 根据已知条件得出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,进而列出方程,解方程,即可求解;
3)先求得直线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的解析式为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,设 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,得出直线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的解析式为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,联立 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 得出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,根据等底两三角形的面积比等于高之比,得出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,进而得出关于 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的二次函数关系,根据二次函数的性质即可求解.
1)解:∵抛物线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 经过点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,对称轴过点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
解得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</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/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
2)解:如图所示,过点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 作对称轴 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的垂线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,垂足为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>    
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
解得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
其中点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 在抛物线对称轴的左侧.
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
设直线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的解析式为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
解得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
直线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的解析式为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
联立 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
解得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
3)解:依题意,点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 恰好在 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 轴上,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
设直线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的解析式为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 代入得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
解得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
直线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的解析式为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> ,设直线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的解析式为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
直线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 的解析式为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
联立 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
解得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a> 时,取得最大值为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1074/" title="四川省" class="c1" target="_blank">四川省</a> <a href="/tags/1080/" title="遂宁" class="c1" target="_blank">遂宁</a> <a href="/tags/1004/" title="四川" class="c1" target="_blank">四川</a>