矩形ABCD中,
,P为线段DC的中点,将
沿AP折起,使得
.
![](https://img.xkw.com/dksih/QBM/2020/12/27/2623074517852160/2623475375554560/STEM/26efc6e6-1f8c-4696-8bef-71777ab3d430.png)
(1)若E为BD的中点,证明:
平面ADP;
(2)证明:平面
平面ABCP.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c4e4a162f12d12a082b8d8fdd1aeab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3da7bcea5a45eeae211f5851f12a7517.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9953b7b5c647641edbec4c2ab90a65f4.png)
![](https://img.xkw.com/dksih/QBM/2020/12/27/2623074517852160/2623475375554560/STEM/26efc6e6-1f8c-4696-8bef-71777ab3d430.png)
(1)若E为BD的中点,证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/932a04304f2d4975955d4baabb2deeea.png)
(2)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16b77a5c3865855fbb3d24f9522ced8d.png)
更新时间:2020-12-27 23:37:13
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解答题-证明题
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较易
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解题方法
【推荐1】如图,P是平行四边形ABCD所在平面外一点,E,F分别是AB,PD的中点.求证:AF∥平面PCE.
![](https://img.xkw.com/dksih/QBM/2020/8/22/2533479527899136/2536729034964992/STEM/4f227105e4eb46c2b2bbb4b9d35e78ff.png?resizew=182)
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解答题-证明题
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较易
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【推荐2】如图,在正方体
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(1)求证:
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
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![](https://img.xkw.com/dksih/QBM/2022/5/10/2976275944808448/2977317381554176/STEM/5040b494f43d404b932517eac71ca3f3.png?resizew=189)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb689000fa7a3b425be3196d8b0f32af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f233b375753611ffa7a93c2c12ef5e28.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/270a2ff49366962834dbec2d3bc2d9a7.png)
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解答题-证明题
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较易
(0.85)
解题方法
【推荐1】如图,在直三棱柱
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求证:(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41104641f3e2260d00aeadf8fb8a078a.png)
(2)平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ba9e20d667d04bf3ee7f55cc795ce01.png)
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解答题-证明题
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