阅读与思考
学习完等边三角形相关内容后,老师布置了如下课后探究题:
证明:在直角三角形中,如果一条直角边等于斜边的一半,那么这条直角边所对的锐角等于
.以下是小宇同学的解题过程,请认真阅读并完成相应任务.
任务:
(1)上述材料中的依据是指______;
(2)请你写出上述所证命题“在直角三角形中,如果一条直角边等于斜边的一半,那么这条直角边所对的锐角等于
”的逆命题,并完成证明.
逆命题:
已知:
求证:
证明:
学习完等边三角形相关内容后,老师布置了如下课后探究题:
证明:在直角三角形中,如果一条直角边等于斜边的一半,那么这条直角边所对的锐角等于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
已知:如图1,![]() ![]() ![]() 求证: ![]() 证明:如图2,延长 ![]() ![]() ![]() ∵ ![]() ∴ ![]() 又∵ ![]() ∴ ![]() ∴ ![]() ∵ ![]() ![]() ∴ ![]() ∴ ![]() ∴ ![]() ∴ ![]() 又∵ ![]() ∴ ![]() |
(1)上述材料中的依据是指______;
(2)请你写出上述所证命题“在直角三角形中,如果一条直角边等于斜边的一半,那么这条直角边所对的锐角等于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
逆命题:
已知:
求证:
证明:
更新时间:2024-05-10 12:47:31
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