如图,在
中,
,
是
边上的一点,作
,垂足为
,则
的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ce7f6d278f2ef7a193b7eed7be6b3c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df1646f67d9699bebb0b50bb72598b03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df6b125c59258f19a1ea851e1ddfb8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a373959bb9026f8a09845c0b828bf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/6/3a6f01a3-0769-4dc4-9c4f-cdd60cecb71b.png?resizew=160)
A.![]() | B.![]() | C.![]() | D.![]() |
更新时间:2023-05-19 16:52:42
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【推荐1】如图,在△ABC中,AB=AC=10,BC=12,AD=8,AD是∠BAC的平分线.若P,Q分别是AD和AC上的动点,则PC+PQ的最小值是( )
A.4.8 | B.9.6 | C.8 | D.6 |
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【推荐2】如图,在Rt△AOB中,OB=4
,∠A=30°,⊙O的半径为3,点P是AB边上的动点,过点P作⊙O的一条切线PQ(其中点Q为切点),则线段PQ长度的最小值为( )
![](https://img.xkw.com/dksih/QBM/2021/12/12/2870888434704384/2871093559926784/STEM/edb6676c-79ce-4177-8d7d-ab9f686b5052.png?resizew=173)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://img.xkw.com/dksih/QBM/2021/12/12/2870888434704384/2871093559926784/STEM/edb6676c-79ce-4177-8d7d-ab9f686b5052.png?resizew=173)
A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐1】如图,正方形
的边长为
,
为
上的一点,
,
为
的中点,
为
上一个动点,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb3f9a5da641be35117fd35ba07a6aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6813cfccfba3043fc567b0dadf76d229.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a9c6a736e6eac98a676fa3232db5a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47117ba8fb1e03d0332ede66ed7eccdd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/17/ad745cd4-403c-4832-8b64-d263d303a081.png?resizew=167)
A.2![]() | B.4 | C.![]() | D.2![]() |
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【推荐1】如图,在
中,
,P为边
上一动点,
于E,
于F,M为
的中点,则
的最小值是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/16/d7bbda3d-102b-4821-8d40-0f880ff67668.png?resizew=252)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f8f88798ec42a58dccd212586382b23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f994e0c8efe1d8aa597ee3726848122.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04fb30a9d07e410ac92c34b8ad0133db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ca0940f5c21431c089d4f7a221df43c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/16/d7bbda3d-102b-4821-8d40-0f880ff67668.png?resizew=252)
A.4.8 | B.4 | C.3 | D.2.4 |
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【推荐2】如图,已知在矩形
中,
,M为对角线
上的一动点,
于点E,
于点接F,连接
.若
,则
的最小值为( ).
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/24/fd275a92-c5e5-499a-beef-8cc462d3fd10.png?resizew=186)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d08f6a499d516bc793971094f536ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1097a13c0408e0709fca27c0f1f5bcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3a6cef54212af8d15dba0c1208f9d8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/24/fd275a92-c5e5-499a-beef-8cc462d3fd10.png?resizew=186)
A.![]() | B.![]() | C.![]() | D.![]() |
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