如图,已知线段
,点D是
的中点,若
,求
的长度.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/10/e533daf2-2241-4db6-9588-874d91659248.png?resizew=239)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cf21b83619220d10b31ddd5608e0417.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1bd1adfe4cc6566218f19970c2fd3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecf7679c8b4b1e442ce4286d4b0e9c32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/10/e533daf2-2241-4db6-9588-874d91659248.png?resizew=239)
更新时间:2023-04-08 23:11:00
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【推荐1】阅读理解:
A、B、C为数轴上三点,若点C到A的距离是点C到B的距离2倍,我们就称点C是【A、B】的好点,如图1,点C到点A的距离是2,点C到点B的距离是1,那么点C是【A、B】的好点,但点C不是【B、A】的好点.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/16/a44c0e40-ebf5-4204-9e87-aca8bad78b4b.png?resizew=296)
知识运用:
(1)如图1.点A 【C,D】的好点:(请在横线上填“是”或“不”)
(2)如图2.M、N、E为数轴上三点,点M所表示的数为
,点N所表示的数为4.若点M是【N,E】的好点,则点E所对应的数是多少?
A、B、C为数轴上三点,若点C到A的距离是点C到B的距离2倍,我们就称点C是【A、B】的好点,如图1,点C到点A的距离是2,点C到点B的距离是1,那么点C是【A、B】的好点,但点C不是【B、A】的好点.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/16/a44c0e40-ebf5-4204-9e87-aca8bad78b4b.png?resizew=296)
知识运用:
(1)如图1.点A 【C,D】的好点:(请在横线上填“是”或“不”)
(2)如图2.M、N、E为数轴上三点,点M所表示的数为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
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【推荐2】画一个数轴,想一想
(1)已知在数轴上表示5的点和表示8的点之间的距离为3个单位,有这样的关系
,那么在数轴上表示数6的点与表示数
的点之间的距离是 单位.
(2)已知在数轴上表示数x的点到表示数
的点的距离:若
,则距离为
,若
,则距离为 .
(3)已知在数轴上表示数x的点到表示数
的点的距离是到表示数5的点的距离的2倍,求x.
(1)已知在数轴上表示5的点和表示8的点之间的距离为3个单位,有这样的关系
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbf6852d8f2f8e7427f25c3b6fe2fc38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
(2)已知在数轴上表示数x的点到表示数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7da6d82d173ad18cc040e94c925b5ab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b316155548d99073adc9696aeb65bbde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adc3e5be1796493161a4df7e28a6f6b7.png)
(3)已知在数轴上表示数x的点到表示数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
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【推荐1】如图,
是线段
上一点,
是
的中点,
是
的中点
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/10/3552a19d-c029-46fa-88c3-74076f076b08.png?resizew=244)
(1)若
,
,求
的长度.
(2)若
,求
的长度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a9c6a736e6eac98a676fa3232db5a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/10/3552a19d-c029-46fa-88c3-74076f076b08.png?resizew=244)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5564681937f41e1489d69b20a71f9222.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65a3e478bb87d094e3a0af30dd10ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa29fe6cd9eb51c184f6299d437375cb.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc34db5860990e51ba31edc8cdd077c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa29fe6cd9eb51c184f6299d437375cb.png)
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【推荐2】按下列语句画图,画线段
厘米,延长
到点C,使
厘米,再延长
到点D,使
厘米,取点E为
中点,取点F为
中点.画图后求
的长度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5cef5f71528e58757f7bf215062adb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9df375f99843ea8e0fa5daa3dcfbd985.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b547d886c528fa2c63016c217b8fb51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
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【推荐1】如图,已知点D为线段AB的中点,点C在线段DB上,且DC=3CB,AC=14cm.求线段AB的长.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/5/b26eb578-d234-47e2-8edb-06d3ee12d01a.png?resizew=135)
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【推荐2】如图,已知点C在线段
上,点M,N分别在线段
与线段
上,且
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/22/33f1fd72-18d7-4bc9-9604-5379d71c7ffc.png?resizew=290)
(1)若
,求线段
的长;
(2)若
,求线段
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e54b84e748954ede821959f6f6713682.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73d65319fd396b9fd220f7a95a7a6042.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/22/33f1fd72-18d7-4bc9-9604-5379d71c7ffc.png?resizew=290)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/497713f69c1d2d36c91cb38026db5973.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5679551587cfe5dffb8606fb758ccf08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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