尺规作图:确定图中弧CD所在圆的圆心,已知:弧CD.求作:弧CD所在圆的圆心O.
![](https://img.xkw.com/dksih/QBM/2019/5/28/2213250904301568/2213657251741696/STEM/2354d86cc6424e90ac703e4a72bdaf30.png?resizew=166)
更新时间:2019-05-28 23:20:07
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解答题-作图题
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【推荐1】如图,
是
的角平分线,
于点E.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/7/27d1e141-a863-488f-a370-9e71b2cd9d3a.png?resizew=177)
(1)用尺规完成以下基本作图:过点D作线段
于点F,连接
交
于点G.(不写作法,保留作图痕迹,要写结论)
(2)在(1)中所作的图形中,求证:
(完成相应填空).
证明:
是
的角平分线,
,________,
________,
在
和
中,
,
,
________,
而
,
________,
即
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32c38dfd14dde969702dff97ef2270f9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/7/27d1e141-a863-488f-a370-9e71b2cd9d3a.png?resizew=177)
(1)用尺规完成以下基本作图:过点D作线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/761a77e11e1e45c2a8b2d34d22cf8e04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
(2)在(1)中所作的图形中,求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b731c2724383ea2a4432ef5ef06caf8b.png)
证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c574f339991ec2ff4e6697ed0012f851.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32c38dfd14dde969702dff97ef2270f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de0d10ef8b748d4531250c37c5d3f9e.png)
在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d110261e49b946b3e859ad0a8ba48a09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/310d9bb6288860e7d7668637e8ba2bce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83ea4469e2cecadb6a6a7d5a06c4dd4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb33ed066c445cff5fa75c2a58d597d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de0d10ef8b748d4531250c37c5d3f9e.png)
而
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7faabc484ce3666706c1beffda4bcfe2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de0d10ef8b748d4531250c37c5d3f9e.png)
即
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b731c2724383ea2a4432ef5ef06caf8b.png)
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解答题-作图题
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【推荐2】如图,已知△ABC,利用直尺跟圆规,根据下列要求作图(保留作图痕迹,不要求写作法),并回答问题
(1)作∠ABC的平分线BD交AC于点D;
(2)作线段BD的垂直平分线交AB于点E,交BC于点F,交BD于点M;
(3)由(1)(2)直接写出线段EM与线段FM的数量关系,无需证明.
(1)作∠ABC的平分线BD交AC于点D;
(2)作线段BD的垂直平分线交AB于点E,交BC于点F,交BD于点M;
(3)由(1)(2)直接写出线段EM与线段FM的数量关系,无需证明.
![](https://img.xkw.com/dksih/QBM/2021/11/26/2859520035545088/2859738049265664/STEM/b4710280-b63a-47bc-baf1-328d68a61ace.png)
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