如下图所示,在四棱锥
中,底面ABCD是菱形,点E是棱PC上的点(不与端点重合),平面ABE与棱PD交于点F,求证:
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/9/c465c660-7f6d-4baa-a7a4-9743a39924f0.png?resizew=183)
(1)
平面PCD;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/9/c465c660-7f6d-4baa-a7a4-9743a39924f0.png?resizew=183)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68fdb2b9d6a4a54ed1328c5b3adcf7b6.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/666734423f1818d76a74f171b7420b68.png)
更新时间:2022-05-05 21:58:54
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解答题-证明题
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解题方法
【推荐1】如图,在四棱锥
中,
平面ABCD,底部ABCD为菱形,E为CD的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/19/cba0f42f-c87f-47ee-8433-213acb2bd28d.png?resizew=170)
(Ⅰ)求证:BD⊥平面PAC;
(Ⅱ)棱PB上是否存在点F,使得CF∥平面PAE?说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/19/cba0f42f-c87f-47ee-8433-213acb2bd28d.png?resizew=170)
(Ⅰ)求证:BD⊥平面PAC;
(Ⅱ)棱PB上是否存在点F,使得CF∥平面PAE?说明理由.
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【推荐2】如图,在直三棱柱
中,
,点D是AB的中点.求证:
;
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bb49fdc6b6bbb2449fdf8a0de769d3.png)
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c64126356d8b6793eb92989664647f3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/429228f882da65a8e0064c88d02b8e40.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bb49fdc6b6bbb2449fdf8a0de769d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbc7e774e4ae40c23bf4ceed179230ca.png)
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【推荐3】如图,在四棱锥
中,底面
是正方形,
平面
.
![](https://img.xkw.com/dksih/QBM/2022/1/6/2888465217650688/2893494674333696/STEM/d18f3fa50e89403388d7c8c479a38711.png?resizew=150)
(1)求证:
平面
;
(2)求证:
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/2022/1/6/2888465217650688/2893494674333696/STEM/d18f3fa50e89403388d7c8c479a38711.png?resizew=150)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/963a91995abd4927d75406d16e10a81f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e56fdf217165748fafe938b64fa08179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f571a1aac46c6d0cf440c0ec2846bf9.png)
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【推荐1】如图,四边形ABCD是矩形,P
平面ABCD,过BC作平面BCFE交AP于点E,交DP于点F,求证:四边形BCFE是梯形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e581739cffb5676d997a58ab10d58880.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/2/95b9e680-d189-4b98-84a9-10bdc6dc7211.png?resizew=151)
您最近一年使用:0次
解答题-证明题
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【推荐2】如图,在四棱锥
中,四边形
是正方形,
,点
在棱
上,
平面
,求证:
为
的中点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3c94c2ec755a12d37ce4ee5764ec355.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bb178784aa857d4d4683e650273f054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34be4e71cabf458f17a6cd7f24bc70af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/26/a20a2cc1-a7fe-4f96-bfd7-b8a0ccf74569.png?resizew=191)
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