如图,B是线段
上一动点,以
的速度沿
往返运动1次,C是线段
的中点,
,设点B运动的时间为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/26/0400f3f1-ada0-4ec7-ae83-96dd75a06d1f.png?resizew=150)
(1)当
时,求线段
的长;
(2)当
时,求线段
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d989a128e30a701dfff5592476a76bab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d660dce6a9c9b2d382465f11a9ffd8f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/700d946aa8e33e2215f20586cb6ff923.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c1a48b92c61d209d0556e4cd8fdb70b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/26/0400f3f1-ada0-4ec7-ae83-96dd75a06d1f.png?resizew=150)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66884efff7400f92b530d69d029778d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/822921b3e0b6db0ce9c8b4a56043e9e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
更新时间:2024-01-27 11:23:17
|
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【推荐1】如图所示,点O是线段
的中点点C在线段
上,点D在线段
上,且
,点E、F是线段
上任意两点,
,
,若
,
,求线段
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c3d2cba96f6f03520c0b3f6e4da03e.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57c4a5cf5e3634eba71081dc22f1249a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78d7a040399fae8c06a28971e8514d2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2272417e6fe9065517fb3061013a3563.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb0786732df29e599cd67cd69e5a1a5f.png)
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【推荐2】如图,已知线段
上有一点
,点
、点
分别为
、
的中点,如果
,
,求线段
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc34db5860990e51ba31edc8cdd077c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8eeeea1c9652cacce976f8129cf520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
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名校
【推荐1】如图,已知线段
,点C为
的中点,点D为
的中点,在线段
上取点E,使
,求线段
的长.补全下列解题过程.
解:∵
,点C为
的中点,
∴
.
∵点D为
的中点,
∴
.
∵
.
∴
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b79850d6b00a67110e77a33d1c46b5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57c4a5cf5e3634eba71081dc22f1249a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
解:∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b79850d6b00a67110e77a33d1c46b5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb57bf452a2c698f99e736384aab7960.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18c314e8fdbb0b74309d5618fe24060f.png)
∵点D为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac12f37e3fe77e6578baab2af80f24e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efa9fbcfb9595e2f031aa691db4564b.png)
∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11b50ba27f16d746c25e3c6b53103fce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efa9fbcfb9595e2f031aa691db4564b.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/499602e50f8d4911ca04461ef1ef4e32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efa9fbcfb9595e2f031aa691db4564b.png)
![](https://img.xkw.com/dksih/QBM/2023/2/1/3165382623649792/3165541590769664/STEM/461aef3f7baa4ccfade9d6d69c65efab.png?resizew=192)
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【推荐2】如图,已知点C为线段AB上一点
,若点D为线段CB的中点,且
求线段AB的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc5f9d8947017844d6243fd59358e25c.png)
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【推荐1】如图,延长线段
到点
,使
,
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的中点,若
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