阅读下面材料:在数学课上,老师提出如下问题:已知:△ABC,尺规作图:求作∠APC=∠ABC.小明同学的主要作法如下:
问题:小明的做法正确吗?请你说明小明作法的正确性.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/19/2a61abc3-d858-4fe3-91d4-ac795267b041.png?resizew=385)
问题:小明的做法正确吗?请你说明小明作法的正确性.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/20/5be8af08-33d6-4070-9af4-90a2e1a87333.png?resizew=201)
更新时间:2020-05-05 22:39:09
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解答题-作图题
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【推荐1】尺规作图(不写作法,保留痕迹);
已知:线段
,
求作:
,使得
.
已知:线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11a825138284fbb629ba52fe2ca35378.png)
求作:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/176577db6fca7929137062553c80dbe0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/5/e2508783-fdbc-4eea-8b3f-70571ab60702.png?resizew=160)
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解答题-作图题
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【推荐2】尺规作图:已知线段a和
.
作一个
,使
,
,
.(要求:不写作法,保留作图痕迹)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/780d8fd6c6c1deeeb45e15f639719e02.png)
作一个
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d42e97eee705d164e6ac6de9ecd6d1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/973111faadd18d09a51945f9689d6992.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/133c7caf0d2f777176a4640838c1a4bb.png)
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解答题-证明题
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容易
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【推荐1】如图,
、
、
、
在同一条直线上,AB∥EF,BD=CE,AB=EF,求证: AC=DF.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://img.xkw.com/dksih/QBM/2021/11/10/2848167176986624/2853267702292480/STEM/d72da671-3089-419e-b012-498153fca2bb.png)
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解答题-证明题
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【推荐2】填空:把下面的推理过程补充完整,并在括号内注明理由.
已知:如图,
,
,
,试说明
.
解:∵
(已知)
∴
( )
在
与
中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a510a3eb906b3ef0760b0d1723d11ae.png)
∴
( ).
∴
( ).
已知:如图,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba46f9fceccff74b15e6dad269412cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f3e6746389305367e7b524ea7aa6e45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a510a3eb906b3ef0760b0d1723d11ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43c10ef52c84726a0a1e9a11c660f921.png)
解:∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba46f9fceccff74b15e6dad269412cd.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4db07c6ce6c8b0e96a3470c6a3491334.png)
在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a510a3eb906b3ef0760b0d1723d11ae.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ca10806fc8c3c3efd6859f526b76900.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43c10ef52c84726a0a1e9a11c660f921.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/6/191d2876-688d-4698-8cf9-23973d8062b9.png?resizew=140)
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