已知,点B和点D是线段AC上的两点,且
,E、F分别线段AB、CD的中点,
,求线段AB,CD的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/345caf4fee53180eccdaef78626719a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b08668b77628265eaa98a3cee1338dad.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/14/6a385aba-f44f-4de7-91f8-d2a3469951ff.png?resizew=233)
更新时间:2022-04-03 20:39:26
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相似题推荐
解答题-作图题
|
适中
(0.65)
【推荐1】如图,点
在线段
上,点
是线段
的中点,
.
(1)尺规作图:延长线段
,并在延长线上作一点
,使得
;(不写作法,保留作图痕迹)
(2)在(1)的条件下,若
,求线段
的长度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/305a88d4e0249bd16d48eda01331d2d4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/22/ddc34d29-34a1-488a-9724-6eba9188a7c5.png?resizew=177)
(1)尺规作图:延长线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55d10e2f27e6eb6d3a9901e82b3b48c7.png)
(2)在(1)的条件下,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/239398c7334f39ef772480f69198744e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
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解答题-问答题
|
适中
(0.65)
【推荐2】如图,点B、C在线段
上,且
,点M是线段
的中点,点N是线段
上的一点,且
.
![](https://img.xkw.com/dksih/QBM/2021/3/9/2674005931188224/2675459393126400/STEM/2e826c1d-a02f-4c24-a5c9-d6aa2b19349d.png)
(1)若点N是线段
的中点,求
的长;
(2)当
时,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf4c7f14feffce0781c46e6c15b0f910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c3194539643760df129d5ebb652addf.png)
![](https://img.xkw.com/dksih/QBM/2021/3/9/2674005931188224/2675459393126400/STEM/2e826c1d-a02f-4c24-a5c9-d6aa2b19349d.png)
(1)若点N是线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b58d8d58f84493c86a1f0661d661c8da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
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解答题-作图题
|
适中
(0.65)
【推荐1】根据题意,补全解题过程.
如图,已知点
为线段
的中点,
为线段
上一点,且
,若
,求线段
的长度.
解:设
,
∵
,
∴
______,
∴
______=______,
∵C为
的中点,
∴
______=______,
∴
______
______,
∵
,
∴
______,
∴
______.
如图,已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3198f10c0f0361e49d812d840cab9e3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38c5c9cc1ed4bce98b7fae77e70b227f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/30/fe7f3b07-648a-4692-b0ed-a85f653cb8c3.png?resizew=394)
解:设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8ac6fe5ec543c8b8149c984bdf658fd.png)
∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3198f10c0f0361e49d812d840cab9e3b.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eabe63735a2a019a1fcbfe46e172885a.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac0d6201749ddf1159d99190f57590bc.png)
∵C为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae248960d8c1677cf948f8251275e863.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e7a5de06d5577a27967d000e360e851.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70b65aa06ea87fa7591f700150c2a611.png)
∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38c5c9cc1ed4bce98b7fae77e70b227f.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85b443e24f6bce0cad4af34935f711bb.png)
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解答题-问答题
|
适中
(0.65)
【推荐2】如图,点C为线段AB上一点,点D为BC的中点,且AB=12 , AC=4CD
![](https://img.xkw.com/dksih/QBM/2022/3/22/2941800690532352/2980162385682432/STEM/dbf6acd9-8e14-44c5-8be7-ef65d964da91.png?resizew=218)
(1)求AC的长;
(2)若点E 在直线AB上,且AE=3,求DE的长.
![](https://img.xkw.com/dksih/QBM/2022/3/22/2941800690532352/2980162385682432/STEM/dbf6acd9-8e14-44c5-8be7-ef65d964da91.png?resizew=218)
(1)求AC的长;
(2)若点E 在直线AB上,且AE=3,求DE的长.
您最近一年使用:0次