在一次数学活动课上,老师让同学们用两个大小、形状都相同的三角板画
,并说出自己做法的依据,小乐和小诚两位同学的做法如下,选择其中一个同学的做法说明其依据:______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0fff774b4b0087a6f304ce930d359be.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/2/8d7e205a-32e0-44b0-8785-c12615df20fe.png?resizew=407)
更新时间:2023-08-02 12:08:06
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【推荐1】如图,下列不正确的是__________ (填序号)
①如果
,那么
;②如果
,那么
;
③如果
,那么
;④如果
,那么
;
⑤如果
,那么
.
①如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/102e836344156ea835d7d4e9b4120fe8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c436f108fd4921dae15ecff19270237e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a438fe61c5d141d76d887b6fc2e8aaa7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c436f108fd4921dae15ecff19270237e.png)
③如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b8ee3c2174306999d94daf1fcea4a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c436f108fd4921dae15ecff19270237e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaae8c82af941a44c823f310490eb5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b75083848b4496b91ddd183a167e6bc2.png)
⑤如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eb0b3318252ae6f1185fc88b9f91fe8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5b3f839ce88bf970aceb44ab939bd5b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/23/6b6e73d8-8a3a-4a52-a2d7-904281279760.png?resizew=186)
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【推荐2】如图,点
,
,
在同一直线上,给出四个条件:(1)
;(2)
;(3)
;(4)
.任意选一个条件,恰能判断
的概率是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0bd8869f34219e7fbe5a9b8842667c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e53497af8899cb299d762f1a4f46a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bba289b05e669953d432bd9fadfc3d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52d1bd3f3218f6b2608fbb9f077e1c59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f79863ffcfa63117ca6741b20a48e69.png)
![](https://img.xkw.com/dksih/QBM/2021/7/16/2765693740957696/2802951573864448/STEM/04ba6a67-d1e3-4882-b0b5-fae7a98161ce.png)
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【推荐1】如图,在
中,
,点
是
,
的平分线的交点.
(1)若点
是内角
、外角
的平分线的交点,则
与
的数量关系为______ ;
(2)在(1)的条件下,当![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41db498f025052df2dbb1e50ab672675.png)
______ 时,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/122e177c4d664591370491c2113ca765.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fabb884dc5f9609de491245463bbe9a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/13/4a843211-adee-4798-99cc-df3dd593f155.png?resizew=143)
(1)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdb8eca20ce2c918ea4034ea15210c7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6282292819434a8905a212427613fd85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
(2)在(1)的条件下,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41db498f025052df2dbb1e50ab672675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28971fe3e3f9d3849400e98b46fc3ba.png)
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【推荐2】如图,请填写一个你认为恰当的条件_______ ,使AB∥CD.
![](https://img.xkw.com/dksih/QBM/2019/6/13/2224736856727552/2224902377062400/STEM/be8625be2b2b4ed599295e608f866663.png?resizew=153)
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