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【329425】1.1 探索勾股定理 同步练习1

时间:2025-01-21 13:02:46 作者: 字数:1855字
简介:


1.1探索勾股定理

习题A

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> 中,∠C=90°

1)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> ____ ___

2)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> _________

3)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)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> <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> ____ <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. (新颖题)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> 中,∠C=90° <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> ,垂足为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> ,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> _________ <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. 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> 中,∠C=90°BC=5 <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=_________AC=_________

4. (典型题)如图,E为正方形ABCD的边AB上一点,AE=3BE=1PAC上的动点,则PB+PE的最小值等于_________

 <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,∠C=90°AC=12CB=5AM=ACBN=BC,则MN的长是( )

A. 2 B. 2.6 C. 3 D. 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>

6. 直角三角形的两条边长是815,则第三条边的长是( )

A. 8 B. 15 C. 17 D. 以上答案均不正确

7. 如图,分别以直角 <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> 的三边ABBCCA为直径向外作半圆。设直线AB左边阴影部分的面积为 <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> ,右边阴影部分的面积为 <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> ,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>


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. 无法确定


习题B

1. 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> 中,AB=AC=5BC=6,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> 的面积。

2. 如图,点BCD在同一直线上,A为直线外一点,且 <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AB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>

3. 如图,点PQ <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> 斜边AB的三等分点。

1)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> ,求以AB为一边的正方形的面积。

2)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> ,求以AB为一边的正方形的面积。

 <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>

4. (典型题)如图,已知一轮船以16海里/时的速度从港口A出发向东北方向航行,另一轮船以12海里/时的速度同时从港口A出发向东南方向航行。离开港口2h后,两船相距多远?

 <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:

习题A

1. 18 213 37 412 16

2. 4.8cm 6.4cm

3. 13 12

4. 5

5. D

6. D

7. A

习题B

  1. 12

  2. 2. 15

3. 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> 2 <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. 2h后两船位置分别为BC,则∠BAC=90°AB=32海里,AC=24海里,得BC=40海里