如图,
,
,
,
,
是平面内任意三点不共线的五点,给出下列结论:
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/14/8f6c29f0-231f-4f3c-a45e-1d91c157063f.png?resizew=204)
①若
,则四边形
是平行四边形;
②若
,则四边形
是菱形;
③若四边形
为矩形,则
;
④若四边形
为矩形,则
.
其中正确的个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/14/8f6c29f0-231f-4f3c-a45e-1d91c157063f.png?resizew=204)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe0f7eea31ac91f5452c1fccec9a6e99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03e4b17f6e3536791bff4b7c4e431aa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
③若四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0daed08e7457f70e2c3bf5f90bf126c.png)
④若四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8780e17f42b6749568da4a476d18d875.png)
其中正确的个数为( )
A.![]() | B.![]() | C.![]() | D.![]() |
更新时间:2021-02-04 10:22:21
|
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解题方法
【推荐1】在平行四边形
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
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A.4 | B.![]() | C.![]() | D.3 |
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【推荐2】在
中,角B,C所对的边分别为b,c,点O为
的外心,若
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的最小值是( )
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A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐2】在四棱锥
中,底面四边形
是边长为2的菱形,且
,平面
平面
,
,若
,
,则四面体
的体积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f7305bbbeff4ba1fd69c8672763911f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bbc56d42b003cbcb1fbe5c50e55b26b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐1】在
中,点
是边
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(
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4630c1e67208824716ef6180d33d9872.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐2】设空间四点O、A、B、P满足
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d61f98f7418eda31a1d7c457e3841c8.png)
A.点P在线段AB上 | B.点P在线段AB的延长线上 |
C.点P在线段BA的延长线上 | D.点P不一定在直线AB上 |
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