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【329426】1.1 探索勾股定理 同步练习2

时间:2025-01-21 13:03:02 作者: 字数:6091字
简介:


 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a>

1.1 探索勾股定理

一、选择题

1.已知如图,在 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 中, <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a>DE垂直平分ABE为垂足,交BC边于D <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 厘米,则AC长为( ).

 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a>

A <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 厘米 B16厘米 C8厘米 D <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 厘米

2.一个等腰直角三角形的周长为2P,其面积为( ).

A <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> B <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> C <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> D <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a>

3.等腰三角形底边上的高是8,周长是32,则三角形的面积是( ).

A56 B48 C40 D32

4.在Rt <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 的斜边AB上另作Rt <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ,并且以AB为斜边,若 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ,则BD等于( ).

A <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> B <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> C <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> D <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a>

5.已知一个等腰直角三角形,它的腰长为 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ,那么斜边上的高等于( ).

A <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> B <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> C <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> D <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a>

6.已知直角三角形一锐角是30°,斜边长是1,那么此直角三角形的周长是( ).

A <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> B3 C <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> D <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a>

7.如图, <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 中, <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ,则AC为( ).

 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a>

A6 B <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> C <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> D4

8.在Rt <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 中, <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ,则AB边上的高CD的长为( ).

A <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> B <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> C <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> D <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a>

二、填空题

1.如图,正方形A的边长是3,即A的面积是________;正方形B的边长是3,即B的面积是________

正方形C的边长是______,即C的面积是________

 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a>

2.看图,一个小方格的面积是1,正方形 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 中含有________个小方格,即 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 的面积是_______.正方形 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 中含有______个小方格,即 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 的面积是________.正方形 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 中含有______个小方格,即 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 的面积是________

 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a>

3.在 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 中, <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ,三内角 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 的对边长分别为 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ,若 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ,则 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ;若 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ,则 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a>

4.三角形三个内角的比为123,它的最大边长为a,那么它的最小边是_____________

5.在 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 中, <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ,三内角 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 的对边长分别为 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ,若 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ,则 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a>

6.在Rt <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 中, <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ,三内角 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 的对边分别为 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ,当 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a>

7.在Rt <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 中, <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ,三内角 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 的对边长分别为 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ,当 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ,则 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ;当 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ,则 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a>

8.直角三角形两直角边的长为86,则斜边长为_________,斜边上的高为________

9.在Rt <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 中,斜边 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ,则 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a>

10.等腰直角三角形的斜边长为2,它的面积为_____________

11.等腰三角形的腰长为 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ,顶角是底角的4倍,则腰上的高为___________

12.若一直角三角形三边的长是三个连续的整数,那么这三边的长为___________

13.在Rt <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 中, <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ,若 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ,则 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a>

14.等边三角形的面积为 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ,它的高为 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ,则边长为___________

15.在 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 中, <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ,则 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a>

16.等边三角形的边长为2,它的面积是________

17.等腰三角形腰和底的比是32,若底边长为6,则底边上的高是__________,腰上的高是__________

18.等腰三角形的两边长为42,则底边上的高是___________,面积是________

三、解答题

1.求图中字母所表示的正方形的面积.

 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a>

2.求图中直角三角形未知边的长度.

 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a>

3.求斜边长13cm,一条直角边长12cm的直角三角形的面积.

4.如图,已知 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ,求正方形ABDE的面积.

 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a>

5.如图,隔湖有两点AB,从与BA方向成直角的BC方向上的点C,测得 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> m <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> m,求AB

 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a>

6.如图,已知一个工件尺寸(单位mm),计算L的长.

 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a>

7.如图(单位mm),已知:车床齿轮箱壳要钻两个圆孔,两孔中心的距离AB68mm,两孔中心的水平距离BC32mm.计算两孔中心的垂直距离AC的长.

 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a>


8.如图,要修一育苗棚,棚宽a4m,高b3m.长d10m.求覆盖在顶上的塑料薄膜需要多少m2

 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a>

9.一艘轮船以36海里/小时的速度离开港口向东南方向航行,另一艘轮船在同时同地以15海里/小时的速度向西南方向航行.它们离开港口后一个小时后相距多远?

10.如图,已知在 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 中, <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ,求 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 的长.

 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a>

11.如图,在垂直于地面的墙上2米的A点斜放一个长2.5米的梯子,由于不小心,梯子在墙上下滑0.8米,求梯子在地面上滑出的距离 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 的长度.(精确到0.1

 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a>

12.如图,已知:在 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 中, <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 厘米, <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 厘米, <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 为垂足,求CD长.

 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a>





参考答案

一、

1C

2C

3B

4B

5D

6D 提示:30°角的边长为 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a>30°角邻边长为 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ,∴周长为 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a>

7B 提示:在Rt <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 中, <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a>

Rt <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 中, <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a>

8D

二、

1.略

264643636100100

313 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a>

4 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 提示:由三内角之比为123得三个角的度数为30°60°90°,最小边是30°角对的边;又因为在直角三角形中,30°角所对的直角边等于斜边的一半.

568

6 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 提示:因为在直角三角形中,30°角所对的直角边等于斜边的一半;有一角为45°的直角三角形是等腰直角三角形.

7 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 提示:直角三角形中,30°角所对的直角边等于斜边的一半.

8104.8

98 提示: <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a>

101 提示:斜边上的高为1

11 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 提示:顶角为120°,底角为30°30°所对直角边等于斜边的一半.

12345 提示:设三边长为 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ,则 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ,即 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ,∴ <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a>

13 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 提示: <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ,∴ <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a>

14 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 提示:由面积 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ,高为 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ,可求出底边(边)长为 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ,利用面积公式: <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 为边长.

15 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 提示:过A <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ,先求 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ,得 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a>

16 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 提示:先求得等边三角形的高为 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a>

17 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 提示:腰为9,底上高为 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ,腰上的高为 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> (面积等),求得腰上的高 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a>

18 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 提示:2不能为腰( <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ),故腰长为4,底边上的高为 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ,面积为 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a>

三、

1100 16

28 5

330cm2

425

530m

68mm

760mm

850m2

939海里

103 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 提示:在 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 中, <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ,所以 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ;在Rt <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 中, <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ,所以 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ,又因为 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ,所以 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ;在 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 中, <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ,所以 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ;在Rt <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 中, <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ,由勾股定理可知 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a>

110.7米 提示:由题意可知, <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 米, <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 米,所以由勾股定理可知 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 米. <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 米,则 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 米, <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 米,所以再由勾股定理可知 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 米, <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 米.

12 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 厘米 提示:CD为斜边AB上的高,要用勾股定理求出CD,就得知道AD长或BD长,这里 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 都是未知的,由已知在 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 可求出斜边AB长,还可求出 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 的面积,利用 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> ,求出CD长, <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a>

解:在Rt <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 中, <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 厘米, <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 厘米,∴ <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 厘米,∴ <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/883/" title="勾股定理" class="c1" target="_blank">勾股定理</a> <a href="/tags/912/" title="定理" class="c1" target="_blank">定理</a> 厘米.