已知四棱锥
的底面为菱形,且
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/16/a93442e3-d5db-4a63-955c-6c3ef32634b8.png?resizew=224)
(1)求证:平面
平面
;
(2)求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e075468e7fb0bf30229aec01a7205977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1e43c71b1d80c1174851f338c2e3091.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/16/a93442e3-d5db-4a63-955c-6c3ef32634b8.png?resizew=224)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4aa9084b8fe0fe05c4388d1f835587b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf4c26f3f4d96117f087400a0f32ece8.png)
更新时间:2019-07-18 13:46:21
|
相似题推荐
解答题-证明题
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适中
(0.65)
名校
【推荐1】如图,正三角形ABE与菱形ABCD所在的平面互相垂直,
,
,M是AB的中点,N是CE的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/5/54feadb5-9bf7-4f84-974d-f73d90d8fa75.png?resizew=233)
(1)求证:
;
(2)求证:
平面ADE;
(3)求点A到平面BCE的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e7fa3aea72ccc36948a4a90f7368f71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e075468e7fb0bf30229aec01a7205977.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/5/54feadb5-9bf7-4f84-974d-f73d90d8fa75.png?resizew=233)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6865234f10d17195c7ca60d62e7b69a1.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a02695cd69ff39af9e1423ec5fdb1f4.png)
(3)求点A到平面BCE的距离.
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解答题-问答题
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适中
(0.65)
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解题方法
【推荐2】如图,在直棱柱
中,
,
,点
、
、
分别是
、
、
的中点.
(1)求
与平面
所成角的大小;
(2)求
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b090de03b3f6e42942359ce8d1fd5a15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36c4559d27e3905980d1a4f1856f07de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/14/b3ccca67-6af5-47dc-a401-4f87c76fa471.png?resizew=134)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/134ef0b1a2669a09f05bd4dc2496f706.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/134ef0b1a2669a09f05bd4dc2496f706.png)
您最近一年使用:0次
解答题-证明题
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适中
(0.65)
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解题方法
【推荐1】如图,在五面体
中,已知
平面
,
,
为正三角形,且
.
![](https://img.xkw.com/dksih/QBM/2022/4/23/2964523223416832/2966380836585472/STEM/cd0ad8ae1549422bbfc9159d7b5922bd.png?resizew=163)
(1)求证:平面
平面
;
(2)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9142a8490de14a87eda628ffa7e28982.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e56fdf217165748fafe938b64fa08179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5bd5abb17f9b165312476bcafb74657.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f010b76578240c9efbbe0bc173d24714.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d05426a41ec7b22c0445bfe78d786c8d.png)
![](https://img.xkw.com/dksih/QBM/2022/4/23/2964523223416832/2966380836585472/STEM/cd0ad8ae1549422bbfc9159d7b5922bd.png?resizew=163)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed5f0cfc1049f84a04c81bd213afb8d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/445b51117626fbd3373e32acc514c64b.png)
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(0.65)
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【推荐2】如图,矩形ABCD所在平面与半圆弧
所在平面垂直,M是
上的点,
,
,
.
![](https://img.xkw.com/dksih/QBM/2020/10/22/2576389167505408/2577073322164224/STEM/040a80c9-ac97-4634-987a-dc1e0de42367.png?resizew=344)
(1)证明:平面AMD⊥平面BMC;
(2)求直线AM与面ABCD所成角的正切值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bb3820bab977db734f4335e4fde720.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bb3820bab977db734f4335e4fde720.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8eeeea1c9652cacce976f8129cf520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2a2cdfa5bee95bf0d1e79f64b73c169.png)
![](https://img.xkw.com/dksih/QBM/2020/10/22/2576389167505408/2577073322164224/STEM/040a80c9-ac97-4634-987a-dc1e0de42367.png?resizew=344)
(1)证明:平面AMD⊥平面BMC;
(2)求直线AM与面ABCD所成角的正切值.
您最近一年使用:0次