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【327655】2022年广东省深圳市中考数学真题

时间:2025-01-20 19:55:50 作者: 字数:16951字
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2022年广东省深圳市中考数学真题

题号

总分

得分





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评卷人

得分




一、选择题

1.下列互为倒数的是(       
A
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
B
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
C
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
D
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>

2.下列图形中,主视图和左视图一样的是(       
A
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
B
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
C
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
D
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>

3.某学校进行演讲比赛,最终有7位同学进入决赛,这七位同学的评分分别是:9.59.39.19.49.79.39.6.请问这组评分的众数是(       
A
9.5
B
9.4
C
9.1
D
9.3

4.某公司一年的销售利润是1.5万亿元.1.5万亿用科学记数法表示(       
A
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
B
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
C
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
D
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>

5.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/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
B
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
C
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
D
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>

6.一元一次不等式组 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 的解集为(       
A
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
B
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
C
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
D
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>

7.将一副三角板如图所示放置,斜边平行,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 的度数为(       
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
A
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
B
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
C
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
D
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>

8.下列说法错误的是(       
A
.对角线垂直且互相平分的四边形是菱形
B
.同圆或等圆中,同弧对应的圆周角相等
C
.对角线相等的四边形是矩形
D
.对角线垂直且相等的四边形是正方形

9.张三经营了一家草场,草场里面种植上等草和下等草.他卖五捆上等草的根数减去11根,就等下七捆下等草的根数;卖七捆上等草的根数减去25根,就等于五捆下等草的根数.设上等草一捆为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 根,下等草一捆为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 根,则下列方程正确的是(       
A
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
B
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
C
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
D
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>

10.如图所示,已知三角形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 为直角三角形, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 为圆 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 切线, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 为切点, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 面积之比为(       
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
A
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
B
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
C
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
D
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>

评卷人

得分




二、填空题

11.分解因式: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> =____

12.某工厂一共有1200人,为选拔人才,提出了一些选拔的条件,并进行了抽样调查.从中抽出400人,发现有300人是符合条件的,那么则该工厂1200人中符合选拔条件的人数为________________

13.已知一元二次方程 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 有两个相等的实数根,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 的值为________________

14.如图,已知直角三角形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,将 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 绕点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 点旋转至 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 的位置,且 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 的中点, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 在反比例函数 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 上,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 的值为________________
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>

15.已知 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 是直角三角形, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 为底作直角三角形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 边上的一点,连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 长为______
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>

评卷人

得分




三、解答题

16. <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</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/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 其中 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>

18.某工厂进行厂长选拔,从中抽出一部分人进行筛选,其中有“优秀”,“良好”,“合格”,“不合格”.
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
(1)
本次抽查总人数为 ,“合格”人数的百分比为
(2)
补全条形统计图.
(3)
扇形统计图中“不合格人数”的度数为
(4)
在“优秀”中有甲乙丙三人,现从中抽出两人,则刚好抽中甲乙两人的概率为

19.某学校打算购买甲乙两种不同类型的笔记本.已知甲种类型的电脑的单价比乙种类型的要便宜10元,且用110元购买的甲种类型的数量与用120元购买的乙种类型的数量一样.
(1)
求甲乙两种类型笔记本的单价.
(2)
该学校打算购买甲乙两种类型笔记本共100件,且购买的乙的数量不超过甲的3倍,则购买的最低费用是多少?

20.二次函数 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 先向上平移6个单位,再向右平移3个单位,用光滑的曲线画在平面直角坐标系上.
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>

 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>

 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>

 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>

 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>

 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>

 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>

 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>

 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>

 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>

 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>

 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>

 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>


(1)
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 的值为                                     
(2)
在坐标系中画出平移后的图象并求出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 的交点坐标;
(3)
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 在新的函数图象上,且 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 两点均在对称轴的同一侧,若 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>                                   <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> (填“ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ”或“ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ”或“ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ”)

21.一个玻璃球体近似半圆 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 为直径,半圆 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 上点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 处有个吊灯 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 的中点为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
(1)
如图①, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 为一条拉线, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 上, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 的长度.
(2)
如图②,一个玻璃镜与圆 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 相切, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 为切点, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 上一点, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 为入射光线, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 为反射光线, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 的长度.
(3)
如图③, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 是线段 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 上的动点, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 为入射光线, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 为反射光线交圆 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 运动到 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 的过程中,求 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 点的运动路径长.

22.1(探究发现)如图①所示,在正方形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 边上一点,将 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 沿 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 翻折到 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 处,延长 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 边于 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 点.求证: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
2(类比迁移)如图②,在矩形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 边上一点,且 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 沿 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 翻折到 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 处,延长 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 边于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 延长 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 边于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 的长.
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
3(拓展应用)如图③,在菱形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 边上的三等分点, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 沿 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 翻折得到 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,直线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 的长.
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>

参考答案

1.A

【解析】
根据互为倒数的意义,找出乘积为1的两个数即可.
解:A.因为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,所以3 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 是互为倒数,因此选项符合题意;
B
.因为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,所以 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 2不是互为倒数,因此选项不符合题意;
C
.因为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,所以3 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 不是互为倒数,因此选项不符合题意;
D
.因为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,所以 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 不是互为倒数,因此选项不符合题意;
故选:A

2.D

【解析】
根据各个几何体的主视图和左视图进行判定即可.
解:A.主视图和左视图不相同,故本选项不合题意;
B
.主视图和左视图不相同,故本选项不合题意;
C
.主视图和左视图不相同,故本选项不合题意;
D
.主视图和左视图相同,故本选项符合题意;
故选:D

3.D

【解析】
直接根据众数的概念求解即可.
解: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 这七位同学的评分分别是9.59.39.19.49.79.39.6
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 这组评分的众数为9.3
故选:D

4.B

【解析】
科学记数法的表示形式为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 的形式,其中 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 为整数.确定 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 的值时,要看把原数变成 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 时,小数点移动了多少位, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 的绝对值与小数点移动的位数相同.当原数绝对值 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 是正数;当原数的绝对值 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 是负数.
解:1.5万亿 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
故选:B

5.A

【解析】
分别根据同底数幂的乘法法则,积的乘方运算法则,单项式乘多项式及合并同类项的法则逐一判断即可.
解: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,计算正确,故此选项符合题意;
B
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,原计算错误,故此选项不符合题意;
C
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,原计算错误,故此选项不符合题意;
D
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,不是同类项不能合并,原计算错误,故此选项不符合题意.
故选:A

6.D

【解析】
解出不等式组的解集,再把不等式的解集在数轴表示出来即可求解.
解:不等式 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
移项得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
不等式组的解集为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
故选:D

7.C

【解析】
由题意得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,利用平行线的性质可求 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,进而可求解.
解:如图, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
故选:C

8.C

【解析】
根据平行四边形、矩形、菱形、正方形的判定方法及圆周角定理,分别分析得出答案.
解:A.对角线垂直且互相平分的四边形是菱形,所以A选项说法正确,故A选项不符合题意;
B
.同圆或等圆中,同弧对应的圆周角相等,所以A选项说法正确,故B选项不符合题意;
C
.对角线相等的四边形是不一定是矩形,所以C选项说法不正确,故C选项符合题意;
D
.对角线垂直且相等的平行四边形是正方形,所以D选项说法正确,故D选项不符合题意.
故选:C

9.C

【解析】
设上等草一捆为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 根,下等草一捆为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 根,根据“卖五捆上等草的根数减去11根,就等下七捆下等草的根数;卖七捆上等草的根数减去25根,就等于五捆下等草的根数.”列出方程组,即可求解.
解:设上等草一捆为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 根,下等草一捆为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 根,根据题意得:
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
故选:C

10.B

【解析】
根据圆周角定理,切线的性质以及等腰三角形的判定和性质,全等三角形的判定及性质进行计算即可.
解:如图取 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 中点O,连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 是圆O的直径.
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 与圆O相切.
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
又∵ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
O <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 的中点.
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
故答案是:1∶2
故选:B

11. <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>

【解析】
利用平方差公式分解因式即可得到答案
解: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
故答案为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>

12.900

【解析】
符合选拔条件的人数=该工厂总共人数×符合条件的人数所占的百分率,列出算式计算即可求解.
解: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> (人).
故答案是:900人.

13.9

【解析】
根据根的判别式的意义得到△ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,然后解关于 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 的方程即可.
解:根据题意得△ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
解得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
故答案为:9

14. <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>

【解析】
连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,作 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 轴于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,根据直角三角形斜边中线的性质和旋转的性质得出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 是等边三角形,从而得出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,即可得出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,解直角三角形求得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 的坐标,进一步求得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
解:连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,作 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 轴于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
由题意知 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 中点, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 是等边三角形,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 在反比例函数 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 上,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
故答案为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>

15. <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>

【解析】
将线段 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 绕点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 顺时针旋转 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,得到线段 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> HE,利用 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 证明 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,即可解决问题.
解:将线段 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 绕点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 顺时针旋转 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,得到线段 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> HE
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 是等腰直角三角形,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 是等腰直角三角形,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
故答案为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>

16. <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>

【解析】
根据零指数幂、二次根式、锐角三角函数值、负指数幂的运算法则进行计算后,再进行加减运算即可.
解:原式 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>

17. <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>

【解析】
利用分式的相应的运算法则进行化简,再代入相应的值运算即可.
解:原式 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
=
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 代入得原式 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>

18.(1)50人, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
(2)
见解析
(3)
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
(4)
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>

【解析】
1)由优秀人数及其所占百分比可得总人数,根据百分比之和为1可得合格人数所占百分比;
2)总人数乘以不合格人数所占百分比求出其人数,从而补全图形;
3)用 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 乘以样本中“不合格人数”所占百分比即可得出答案;
4)列表得出所有等可能结果,从中找到符合条件的结果数,再根据概率公式求解即可.
(1)
解:本次抽查的总人数为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> (人 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
合格”人数的百分比为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
故答案为:50人, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
(2)
解:不合格的人数为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
补全图形如下:
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
(3)
解:扇形统计图中“不合格”人数的度数为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
故答案为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
(4)
解:列表如下:



(乙,甲)

(丙,甲)

(甲,乙)


(丙,乙)

(甲,丙)

(乙,丙)



由表知,共有6种等可能结果,其中刚好抽中甲乙两人的有2种结果,
所以刚好抽中甲乙两人的概率为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
故答案为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>

19.(1)甲类型的笔记本电脑单价为110元,乙类型的笔记本电脑单价为120
(2)
最低费用为11750

【解析】
1)设甲类型的笔记本电脑单价为x元,则乙类型的笔记本电脑为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 元.列出方程即可解答;
2)设甲类型笔记本电脑购买了a件,最低费用为w,列出w关于a的函数,利用一次函数的增减性进行解答即可.
(1)
设甲类型的笔记本电脑单价为x元,则乙类型的笔记本电脑为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 元.
由题意得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
解得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
经检验 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 是原方程的解,且符合题意.
乙类型的笔记本电脑单价为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> (元).
答:甲类型的笔记本电脑单价为110元,乙类型的笔记本电脑单价为120元.
(2)
设甲类型笔记本电脑购买了a件,最低费用为w,则乙类型笔记本电脑购买了 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 件.
由题意得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
a越大时w越小.
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 时,w最小,最小值为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> (元).
答:最低费用为11750元.

20.(1) <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
(2)
图见解析, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
(3)
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>

【解析】
1)把点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 代入 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 即可求解.
2)根据描点法画函数图象可得平移后的图象,在根据交点坐标的特点得一元二次方程,解出方程即可求解.
3)根据新函数的图象及性质可得:当PQ两点均在对称轴的左侧时,若 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,当PQ两点均在对称轴的右侧时,若 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,进而可求解.
(1)
解:当 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
(2)
平移后的图象如图所示:
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
由题意得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
解得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,则交点坐标为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,则交点坐标为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
综上所述: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 的交点坐标分别为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
(3)
由平移后的二次函数可得:对称轴 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> x的增大而减小,当 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> x的增大而增大,
PQ两点均在对称轴的左侧时,若 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
PQ两点均在对称轴的右侧时,若 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
综上所述:点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 在新函数图象上,且PQ两点均在对称轴同一侧,若 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
故答案为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>

21.(1)2
(2)
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
(3)
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>

【解析】
1)由 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,可得出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 的中位线,可得出D <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 中点,即可得出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 的长度;
2)过N点作 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,交 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 于点D,可得出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 为等腰直角三角形,根据 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,可得出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,设 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,根据 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,即可求得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,再根据勾股定理即可得出答案;
3)依题意得出点N路径长为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,推导得出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,即可计算给出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,即可得出答案.
(1)
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 的中位线
D <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 的中点
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
(2)
N点作 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,交 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 于点D
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 为等腰直角三角形,即 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
又∵ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
解得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
(3)
如图,当点M与点O重合时,点N也与点O重合. 当点M运动至点A时,点N运动至点T,故点N路径长为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
N点的运动路径长为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
故答案为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>

22.1)见解析;(2 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ;(3 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 的长为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>

【解析】
1)根据将 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 沿 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 翻折到 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 处,四边形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 是正方形,得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,即得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,可证 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
2)延长 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 交于 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,设 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,在 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 中,有 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,由 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,而 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,可得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,即 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,设 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,因 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,有 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,即解得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 的长为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
3)分两种情况:(Ⅰ)当 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 时,延长 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,过 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,设 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,由 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 的角平分线,有 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ①,在 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ②,可解得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
(Ⅱ)当 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 时,延长 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 延长线于 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,过 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 延长线于 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,同理解得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
证明:(1 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 沿 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 翻折到 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 处,四边形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 是正方形,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
2)解:延长 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 交于 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,如图:
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
解得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,即 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,即 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,即 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
解得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 的长为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
3)(Ⅰ)当 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 时,延长 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,过 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,如图:
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 沿 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 翻折得到 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 的角平分线,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,即 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ①,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
联立①②可解得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
(Ⅱ)当 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 时,延长 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 延长线于 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,过 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 延长线于 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,如图:
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
同理 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> ,即 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
可解得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>
综上所述, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a> 的长为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/93/" title="深圳" class="c1" target="_blank">深圳</a> <a href="/tags/117/" title="广东" class="c1" target="_blank">广东</a> <a href="/tags/323/" title="广东省" class="c1" target="_blank">广东省</a>