如图,点C为线段
上一点,点D为线段
延长线上一点且满足
,
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/10/142fd264-8049-4ab4-bc53-1a9fdf79c09f.png?resizew=231)
(1)尺规作图:根据题意补全图形;(不写作法,保留作图痕迹)
(2)若
,
,求线段
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78002bca853929365a3f58082f3e7637.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/10/142fd264-8049-4ab4-bc53-1a9fdf79c09f.png?resizew=231)
(1)尺规作图:根据题意补全图形;(不写作法,保留作图痕迹)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d3976d08e5f9e24e76ce9579c06a8dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/305a88d4e0249bd16d48eda01331d2d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
更新时间:2024-02-10 10:15:18
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【推荐1】如图,点C在线段AB上,AC =8cm,CB =6cm,点M、N分别是AC、BC的中点.
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(1)求线段MN的长.
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【推荐2】如图,在△ABC中,AB=AC,AB的垂直平分线MN交AC于点D,交AB于点E,连接BD.若AE=6,△CBD的周长为20,求BC的长.
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【推荐1】如图,已知线段AC=12cm,点B在线段AC上 ,满足BC=AB.
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【推荐2】如图,
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
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【推荐1】矩形
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
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【推荐2】如图,已知△ABC.
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(1)用直尺和圆规,作出边AC的垂直平分线,交AC于点E,BC于点D,(不写作法,保留作图痕迹)
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【推荐3】如图,在
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![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/13/44a472e7-20c6-4bdd-b457-0638f085d2f2.png?resizew=188)
①分别以点A、B为圆心,以大于
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②以点A为圆心,任意长为半径作弧,分别与
、
交于两点,再以这两点为圆心,以大于这两点间距离的一半的长度为半径作弧,两弧交于一点,连结点A与这一点交
于点E.
(1)通过以上作图,可以发现直线
是______,射线
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A.线段
的垂直平分线 B.
的角平分线
C.
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(2)在(1)所作的图中,求
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/640e9e7c56e8eeda044fb55396088816.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03c157441734cc2f1853bb3e15b631a2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/13/44a472e7-20c6-4bdd-b457-0638f085d2f2.png?resizew=188)
①分别以点A、B为圆心,以大于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d49404351575703cfe8325d1352ec9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
②以点A为圆心,任意长为半径作弧,分别与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
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(1)通过以上作图,可以发现直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
A.线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/868ff1350bd72625328c85c3097cd85e.png)
C.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac451db3443cabb204f96c31fd4a02e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/721c75fcd58d3d54260aad0f82e09e37.png)
(2)在(1)所作的图中,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57e7106619c08f2bcc1d21f846e8a0de.png)
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