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【327990】河北省2021年中考数学试卷

时间:2025-01-20 20:56:10 作者: 字数:24560字
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河北省2021年中考数学试卷

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一、选择题

1.如图,已知四条线段 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 中的一条与挡板另一侧的线段 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 在同一直线上,请借助直尺判断该线段是( )
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>

A
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
B
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
C
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
D
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>

2.不一定相等的一组是( )
A
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
B
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
C
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
D
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>

3.已知 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,则一定有 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,“ <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ”中应填的符号是( )
A
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
B
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
C
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
D
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>

4. <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 结果相同的是( ).
A
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
B
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
C
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
D
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>

5.能与 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 相加得0的是( )
A
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
B
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
C
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
D
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>

6.一个骰子相对两面的点数之和为7,它的展开图如图,下列判断正确的是( )
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>

A
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 代表 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
B
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 代表 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
C
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 代表 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
D
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 代表 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>

7.如图1 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 中, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 为锐角.要在对角线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 上找点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,使四边形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 为平行四边形,现有图2中的甲、乙、丙三种方案,则正确的方案( )
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>

2


A
.甲、乙、丙都是
B
.只有甲、乙才是
C
.只有甲、丙才是
D
.只有乙、丙才是

8.1是装了液体的高脚杯示意图(数据如图),用去一部分液体后如图2所示,此时液面 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ( )
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
A
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
B
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
C
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
D
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>

9. <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 1.442,计算 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的结果是( )
A
-100
B
-1442
C
144.2
D
-0.01442

10.如图,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 为正六边形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 对角线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 上一点, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,则 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的值是( )
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
A
20
B
30
C
40
D
.随点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 位置而变化

11.如图,将数轴上-66两点间的线段六等分,这五个等分点所对应数依次为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,则下列正确的是( )
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
A
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
B
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
C
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
D
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>

12.如图,直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 相交于点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 为这两直线外一点,且 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> .若点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 关于直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的对称点分别是点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,则 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 之间的距离可能是( )
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
A
0
B
5
C
6
D
7

13.定理:三角形的一个外角等于与它不相邻的两个内角的和.
已知:如图, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的外角.
求证: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
下列说法正确的是( )
A
.证法1还需证明其他形状的三角形,该定理的证明才完整
B
.证法1用严谨的推理证明了该定理
C
.证法2用特殊到一般法证明了该定理
D
.证法2只要测量够一百个三角形进行验证,就能证明该定理

14.小明调查了本班每位同学最喜欢的颜色,并绘制了不完整的扇形图1及条形图2(柱的高度从高到低排列).条形图不小心被撕了一块,图2中 “( )”应填的颜色是( )
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>

A
.蓝
B
.粉
C
.黄
D
.红

15. <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 值的正负可以比较 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的大小,下列正确的是( )
A
.当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
B
.当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
C
.当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
D
.当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>

16.如图,等腰 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 中,顶角 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,用尺规按①到④的步骤操作:
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 为圆心, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 为半径画圆;
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 上任取一点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> (不与点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 重合),连接 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的垂直平分线与 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 交于 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的垂直平分线与 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 交于 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
结论Ⅰ:顺次连接 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 四点必能得到矩形;
结论Ⅱ: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 上只有唯一的点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,使得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
对于结论Ⅰ和Ⅱ,下列判断正确的是( )
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
A
.Ⅰ和Ⅱ都对
B
.Ⅰ和Ⅱ都不对
C
.Ⅰ不对Ⅱ对
D
.Ⅰ对Ⅱ不对

评卷人

得分




二、填空题

17.现有甲、乙、丙三种不同的矩形纸片(边长如图).
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
1)取甲、乙纸片各1块,其面积和为___________
2)嘉嘉要用这三种纸片紧密拼接成一个大正方形,先取甲纸片1块,再取乙纸片4块,还需取丙纸片___________块.

18.下图是可调躺椅示意图(数据如图), <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的交点为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,且 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 保持不变.为了舒适,需调整 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的大小,使 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,则图中 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ___________(填“增加”或“减少”)___________度.
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>

19.用绘图软件绘制双曲线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 与动直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,且交于一点,图1 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 时的视窗情形.
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
1)当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的交点坐标为__________
2)视窗的大小不变,但其可视范围可以变化,且变化前后原点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 始终在视窗中心.例如,为在视窗中看到(1)中的交点,可将图1中坐标系的单位长度变为原来的 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,其可视范围就由 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 变成了 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> (如图2).当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的交点分别是点A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 能看到 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的一整段象,需要将1中坐系的度至少变为原来的 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 整数 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> __________

评卷人

得分




三、解答题

20.某书店新进了一批图书,甲、乙两种书的进价分别为4/本、10/本.现购进 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 本甲种书和 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 本乙种书,共付款 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 元.
1)用含 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的代数式表示 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
2)若共购进 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 本甲种书及 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 本乙种书,用科学记数法表示 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的值.

21.已知训练场球筐中有 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 两种品牌的乒乓球共101个,设 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 品牌乒乓球有 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 个.
1)淇淇说:“筐里 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 品牌球是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 品牌球的两倍.”嘉嘉根据她的说法列出了方程: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> .请用嘉嘉所列方程分析淇淇的说法是否正确;
2)据工作人员透露: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 品牌球比 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 品牌球至少多28个,试通过列不等式的方法说明 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 品牌球最多有几个.

22.某博物馆展厅的俯视示意图如图1所示,嘉淇进入展厅后开始自由参观,每走到一个十字道口,她自己可能直行,也可能向左转或向右转,且这三种可能性均相同.
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
1)求嘉淇走到十字道口 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 向北走的概率;
2)补全图2的树状图,并分析嘉淇经过两个十字道口后向哪个方向参观的概率较大.

23.下图是某机场监控屏显示两飞机的飞行图象,1号指挥机(看成点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> )始终以 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的速度在离地面 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 高的上空匀速向右飞行,2号试飞机(看成点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> )一直保持在1号机 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的正下方,2号机从原点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 处沿 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 仰角爬升,到 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 高的 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 处便立刻转为水平飞行,再过 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 到达 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 处开始沿直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 降落,要求 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 后到达 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 处.
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
1)求 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 关于 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的函数解析式,并直接写出2号机的爬升速度;
2)求 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 关于 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的函数解析式,并预计2号机着陆点的坐标;
3)通过计算说明两机距离 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 不超过 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的时长是多少.
(
注:(1)及(2)中不必写 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的取值范围)

24.如图, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的半径为6,将该圆周12等分后得到表盘模型,其中整钟点为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 1~12的整数),过点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的切线交 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 延长线于点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
1)通过计算比较直径和劣弧 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 长度哪个更长;
2)连接 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,则 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 有什么特殊位置关系?请简要说明理由;
3)求切线长 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的值.

25.下图是某同学正在设计的一动画示意图, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 轴上依次有 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 三个点,且 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,在 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 上方有五个台阶 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> (各拐角均为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ),每个台阶的高、宽分别是115,台阶 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 轴距离 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> .从点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 处向右上方沿抛物线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 发出一个带光的点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
1)求点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的横坐标,且在图中补画出 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 轴,并直接指出点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 会落在哪个台阶上;
2)当点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 落到台阶上后立即弹起,又形成了另一条与 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 形状相同的抛物线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,且最大高度为11,求 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的解析式,并说明其对称轴是否与台阶 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 有交点;
3)在 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 轴上从左到右有两点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,且 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,从点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 向上作 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 轴,且 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> .在 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 沿 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 轴左右平移时,必须保证(2)中沿抛物线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 下落的点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 能落在边 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> (包括端点)上,则点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 横坐标的最大值比最小值大多少?
(
注:(2)中不必写 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的取值范围)

26.在一平面内,线段 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,线段 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,将这四条线段顺次首尾相接.把 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 固定,让 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 绕点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 开始逆时针旋转角 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 到某一位置时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 将会跟随出现到相应的位置.
1)论证 如图1,当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 时,设 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 交于点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,求证: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
2)发现 当旋转角 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的度数可能是多少?
3)尝试 取线段 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的中点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,当点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 与点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 距离最大时,求点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的距离;
4)拓展 ①如图2,设点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的距离为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,若 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的平分线所在直线交 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 于点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,直接写出 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的长(用含 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的式子表示);
当点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 下方,且 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 垂直时,直接写出 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的余弦值.


 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>

参考答案

1.A

【解析】
根据直线的特征,经过两点有一直线并且只有一条直线即可判断.
:设线段m板的交点Aabcd板的交点分别为BCDE
连结ABACADAE
根据直线的特征经过两点有且只有一条直线
利用直尺可确定线am在同一直线上,
选择A
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>

2.D

【解析】
分别根据加法交换律、合并同类项、同底数幂的乘法以及去括号法则计算各项后,再进行判断即可得到结论.
解:A.  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> = <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,故选项A不符合意;
B.
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,故选项B不符合意;
C.
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,故选项C不符合意;
D.
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,故选项D符合意,
D

3.B

【解析】
直接运用不等式的性质3进行解答即可.
解:将不等式 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 两边同乘以-4,不等号的方向改变得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
∴“
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 中应填的符号是“ <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ”,
故选:B

4.A

【解析】
根据有理数运算和二次根式的性质计算,即可得到答案.
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,且选项BCD的运算结果分别为:460
故选:A

5.C

【解析】
利用加法与减法互为逆运算,将0减去 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 即可得到对应答案,也可以利用相反数的性质,直接得到能与  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 相加得0的是它的相反数即可.
解:方法一: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
方法二: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的相反数为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
故选:C

6.A

【解析】
根据正方体展开图的对面,逐项判断即可.
解:由正方体展开图可知, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的对面点数是1 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的对面点数是2 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的对面点数是4
骰子相对两面的点数之和为7
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 代表 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
故选:A

7.A

【解析】
甲方案:利用对角线互相平分得证;
乙方案:由 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,可得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,即可得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
再利用对角线互相平分得证;
丙方案:方法同乙方案.
连接 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 交于点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
甲方案: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 四边形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 是平行四边形
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 四边形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 为平行四边形.
乙方案:
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 四边形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 是平行四边形
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> (AAS)
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 四边形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 为平行四边形.
丙方案:
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 四边形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 是平行四边形
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 分别平分 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> , 即 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ASA
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 四边形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 为平行四边形.
所以甲、乙、丙三种方案都可以.
故选A

8.C

【解析】
先求出两个高脚杯液体的高度,再通过三角形相似,建立其对应边的比与对应高的比相等的关系,即可求出AB
解:由可知,第一个高脚杯盛液体的高度15-7=8cm),
第二个高脚杯盛液体的高度11-7=4cm),
液面都是水平的,12中的高脚杯是同一个高脚杯,
所以12中的两个三角形相似,
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> cm),
C

9.B

【解析】
类比二次根式的计算,提取公因数,代入求值即可.
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
故选B

10.B

【解析】
连接ACADCFADCF交于点M,可知M是正六 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的中心,根据矩形的性求出 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,再求出正六形面即可.
解:ACADCFADCF交于点M,可知M是正六 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的中心,
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 是正六形,
AB=BCB=BAF= 120°
∴∠BAC=30°
∴∠FAC=90°
同理,DCA=FDC=DFA=90°
ACDF是矩形,
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
B
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>

11.C

【解析】
根据题目中的条件,可以把 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 分别求出来,即可判断.
解:根据题意可求出:
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
A
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,故选项错误,不符合题意;
B
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,故选项错误,不符合题意;
C
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,故选项正确,符合题意;
D
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,故选项错误,不符合题意;
故选:C

12.B

【解析】
连接 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 根据轴对称的性质和三角形三边关系可得结论.
解:连接 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,如图,
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> P关于直线l的对称点,
直线l <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的垂直平分线,
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> P关于直线m的对称点,
直线m <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的垂直平分线,
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 不在同一条直线上时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 在同一条直线上时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
故选:B

13.B

【解析】
根据三角形的内角和定理与平角的定义可判断AB,利用理践相合可判断CD
解:A. 1出的程是完整正确的,不需要分情况讨论,故A不符合意;
B.
1出的程是完整正确的,不需要分情况讨论,故选项B符合意;
C.
2用量角器度量两个内角和外角,只能验证该定理的正确性,用特殊到一般法明了定理缺少理论证程,故选项C不符合意;
D.
2只要一百个三角形验证验证的正确性更高,就能定理需用理论证明,故选项D不符合意.
选择 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>

14.D

【解析】
根据同学最喜欢的颜色最少的是蓝色,可求出总人数,可求出喜欢红色的14人,则可知喜欢粉色和黄色的人数分别为16人和15人,可知“( )”应填的颜色.
解:同学最喜欢的颜色最少的是蓝色,有5人,占10%5÷10%=50(人),
喜欢红色的人数为50×28%=14(人),
喜欢红色和蓝色一共有14+5=19(人),
喜欢剩余两种颜色的人数为50-19=31(人),其中一种颜色的喜欢人数为16人,另一种为15人,由柱的高度从高到低排列可得,第三条的人数为14人,“( )”应填的颜色是红色;
故选:D

15.C

【解析】
先计算 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的值,再根c的正判断 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的正,再判断 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的大小即可.
解: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 无意,故A选项错误,不符合意;
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,故B选项错误,不符合意;
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,故C选项正确,符合意;
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ;当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,故D选项错误,不符合意;
C

16.D

【解析】
、根据“弦的垂直平分线经过圆心”,可证四边形MENF的形状;
、在确定点P程中,看MOF=40°是否唯一即可.
解:、如所示.
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
MNAB的垂直平分线EFAP的垂直平分线
MNEF经过圆O线MNEFO的直径.
OM=ONOE=OF
MENF是平行四形.
线MNO的直径,
∴∠MEN=90°
平行四MENF是矩形.
结论正确;
、如2,当点P在直线MNAP=AB
AP=AB
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
MNABEFAP
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
扇形OFM与扇形OAB的半径、心角度数都分相等,
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
3,当点P在直线MNBP=AB
同理可 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
结论错误
D

17.      <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>      4

【解析】
1)直接利用正方形面积公式进行计算即可;
2)根据已知图形的面积公式的特征,利用完全平方公式即可判定应增加的项,再对应到图形上即可.
解:(1)∵甲、乙都是正方形纸片,其边长分别为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
取甲、乙纸片各1块,其面积和为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
故答案为: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
2)要用这三种纸片紧密拼接成一个大正方形,先取甲纸片1块,再取乙纸片4块,则它们的面积和为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,若再加上 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> (刚好是4个丙),则 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,则刚好能组成边长为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的正方形,图形如下所示,所以应取丙纸片4块.
故答案为:4
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>

18.     减少     10

【解析】
先通过作辅助线利用三角形外角的性质得到∠EDF与∠D、∠E、∠DCE之间的关系,进行计算即可判断.
解:∵∠A+∠B=50°+60°=110°
∴∠ACB=180°-110°=70°

∴∠DCE=70°

如图,连接CF并延长,
∴∠DFM=∠D+∠DCF=20°+∠DCF

∠EFM=∠E+∠ECF=30°+∠ECF

∴∠EFD=∠DFM+∠EFM=20°+∠DCF+30°+∠ECF=50°+∠DCE=50°+70°=120°

要使∠EFD=110°,则∠EFD减少了10°
若只调整∠D的大小,
由∠EFD=∠DFM+∠EFM=∠D+∠DCF+∠E+∠ECF=∠D+∠E+∠ECD=∠D+30°+70°=∠ D+100°
因此应将∠D减少10度;
故答案为:①减少;②10
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>

19.      <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>      4

【解析】
1)结合题意,根据一次函数和反比例函数的性质列分式方程并求解,即可得到答案;
2)当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 时,根据一次函数、反比例函数和直角坐标系的性质,分别计算 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的值,再根据题意分析,即可得到答案.
1)根据题意,得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的解
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的交点坐标为: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
故答案为: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
2)当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 时,得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的解
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的交点坐标为: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
1)视窗可视范围就由 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,且 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
根据题意,得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 为正整数
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
同理,当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 时,得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
要能看到 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的一整段
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
故答案4

20.1 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
2 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>

【解析】
1)进 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 本甲种书和 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 本乙种书共付款为2种书的总价,用单价乘以数量即可;
2)将书的数量代入(1)中结论,求解,最后用科学记数法表示.
1 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
2 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
所以 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>

21.1)不正确;(236

【解析】
1)解方程,得到方程的解不是整数,不符合题意,因此判定淇淇说法不正确;
2)根据题意列出不等式,解不等式即可得到A品牌球的数量最大值.
解:(1 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,解得: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,不是整数,因此不符合题意;
所以淇淇的说法不正确.
2)∵A 品牌球有 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 个,B 品牌球比A品牌球至少多28个,
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>

解得: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
∵x
是整数,
∴x
的最大值为36
A 品牌球最多有36个.

22.1 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,(2)嘉淇经过两个十字道口后向西参观的概率较大.

【解析】
1)嘉淇走到十字道口 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 一共有三种可能,向北只有一种可能,根据概率公式求解即可;
2)根据树状图的画法补全树状图,再根据向哪个方向出现的次数求概率即可.
解:(1)嘉淇走到十字道口 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 一共有三种可能,向北只有一种可能,嘉淇走到十字道口 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 向北走的概率为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
2)补全树状图如图所示:
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
嘉淇经过两个十字道口后共有9种可能,向西的概率为: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ;向南的概率为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ;向北的概率为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ;向东的概率为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ;嘉淇经过两个十字道口后向西参观的概率较大.

23.1 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> km/min)(2 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 3 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> min

【解析】
1)根据象分析得知,解析式正比例函数,根据角度判断k,即可求得.
2)根据BC两点坐,待定系数法求表达式即可,着点令 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,求解即可.
3)根据点Q的位置,象,找到意的范,分类讨论计算即可.
解:(1设线OA所在直线的函数解析式: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
2号机从原点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 沿 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 仰角爬升
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
1号机A点正上方的候,时间 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> min
2号机的行速度 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> km/min
2 设线BC所在直线的函数表达式 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
2号机水平时间为1min,1号机的水平1min,
B的横坐标为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ;点B标为4,即 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> , <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 代入 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 中,得:
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
解得: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,解得: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
2号机的着点坐标为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
3)当点Q在 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,要保 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
当点Q <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> , <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,时长为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> min);
当点Q <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,令  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,解得: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,此 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> min),
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 时长为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> min

24.1)劣弧更长;
2 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 互相垂直,理由见解析;
3 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>

【解析】
1)分别求出劣弧和直径的长,比较大小;
2)连接 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,求出 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,即可得出垂直的位置关系;
3)根据圆的知识求出 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,又 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的切线,利用三角函数求解即可.
1)劣弧 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
直径 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
因为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,故劣弧更长.
2)如下图所示连接 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,由图可知 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 是直径,
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
对应的圆周角 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 互相垂直.
3)如上图所示, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的切线
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>

25.1 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,见解析,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 会落在 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的台阶上;(2 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,其对称轴与台阶 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 有交点;(3 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>

【解析】
1)二次函数与坐标轴的交点坐标可以直接算出,根据点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的坐标可以确定 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 轴,利用函数的性质可以判断落在那个台阶上;
2)利用二次函数图象的平移来求解抛物线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,再根据函数的对称轴的值来判断是否与台阶 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 有交点;
3)抓住二次函数图象不变,是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 在左右平移,要求点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 横坐标的最大值比最小值大多少,利用临界点法,可以确定什么时候横坐标最大,什么时候横坐标最小,从而得解.
解:(1)当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
解得: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 在左侧, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 关于 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 对称,
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 轴与 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 重合,如下图:
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>

由题意在坐标轴上标出相关信息,
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
解得: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 会落在 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的台阶上,坐标为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
2)设将抛物线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,向下平移5个单位,向右平移 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的单位后与抛物线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 重合,则抛物线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的解析式为: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
由(1)知,抛物线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,将 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 代入 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
解得: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> (舍去,因为是对称轴左边的部分过 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ),
抛物线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> : <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 关于 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,且 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 其对称轴与台阶 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 有交点.
3)由题意知,当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 沿 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 轴左右平移,恰使抛物线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 下落的点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 过点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 时,此时点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的横坐标值最大;
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
解得: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> (取舍),
故点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的横坐标最大值为: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 沿 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 轴左右平移,恰使抛物线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 下落的点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 过点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 时,此时点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的横坐标值最小;
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
解得: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> (舍去),
故点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的横坐标最小值为: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
则点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 横坐标的最大值比最小值大: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
故答案是: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>

26.1)证明见解析;(2 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ;(3 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ;(4)① <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ;② <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>

【解析】
1)先根据平行线的性质可得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,再根据三角形全等的判定定理与性质可得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,由此即可得证;
2)分如图(见解析)所示的两种情况,先根据等边三角形的判定与性质可得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,再根据菱形的判定与性质可得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,然后根据平行线的性质、角的和差即可得;
3)先根据三角形的三边关系可得当点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 共线时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 取得最大值,再画出图形(见解析),利用勾股定理求出 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的长,然后求出 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的值,最后在 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 中,解直角三角形即可得;
4)①如图(见解析),先根据等腰三角形的三线合一可得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,再同(3)的方法可求出 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的长,然后证出 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,根据相似三角形的性质即可得;
如图(见解析),只需考虑 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的情形,先利用勾股定理可得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,再同(3)的方法可求出 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的长,从而可得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的长,然后证出 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,根据相似三角形的性质和 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 可求出 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的长,最后根据余弦三角函数的定义即可得.
证明:(1 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 中, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
2)由题意,由以下两种情况:
如图,取 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的中点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,连接 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,则 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 是等边三角形,
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 四边形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 是菱形,
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
如图,当点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的中点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 重合,
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 是等边三角形,
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
综上, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的度数为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
3)如图,连接 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,当且仅当点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 共线时,等号成立,
如图,过点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 于点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,过点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 于点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,则 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 即为所求,
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,则 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
解得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 中, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 中, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
即当点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 与点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 距离最大时,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的距离为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
4)①如图,连接 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 于点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,过点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 于点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 平分 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> (等腰三角形的三线合一),
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,则 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
解得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,即 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 中, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,即 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
解得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 初中阶段没有学习钝角的余弦值,且 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 只需考虑 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 的情形,
如图,设 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 交于点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,过点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 于点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,连接 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,则 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
解得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,则 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> 中, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a> ,即 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
解得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
解得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/553/" title="河北" class="c1" target="_blank">河北</a> <a href="/tags/893/" title="河北省" class="c1" target="_blank">河北省</a>