在棱锥
中,
平面
平面
,
是
的中点,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25c8519d3bb9fb04e61c5dbf0829949b.png)
.![](https://img.xkw.com/dksih/QBM/2015/3/21/1572018779701248/1572018785550336/STEM/1bb79bbef452449b97147b54ba99f348.png)
(1)求证:
;
(2)求三棱锥
的高.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/648d3522c3b735dc050676fa95beb3c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72572599a90e302ec1325b31e680b967.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1dd54aec318a924050f9f89d260d70e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25c8519d3bb9fb04e61c5dbf0829949b.png)
.
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572018779701248/1572018785550336/STEM/1bb79bbef452449b97147b54ba99f348.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00dc74e76fe3ebba1ec9eee864c9eb95.png)
(2)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d850ec6301e08305ab55016f27b6bea3.png)
更新时间:2016-12-03 10:23:19
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相似题推荐
解答题-问答题
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【推荐1】如图,正三棱柱
的底面边长为4,侧棱长为1.
![](https://img.xkw.com/dksih/QBM/2019/11/9/2330350655111168/2330436816846848/STEM/4b645a45-9b37-4c55-b358-440be75cae96.png?resizew=313)
(1)求二面角
的大小;
(2)若过
的截面与底面成30°的二面角,求此截面的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://img.xkw.com/dksih/QBM/2019/11/9/2330350655111168/2330436816846848/STEM/4b645a45-9b37-4c55-b358-440be75cae96.png?resizew=313)
(1)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/185729402f3b20ac3e0b003be9b385eb.png)
(2)若过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
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【推荐2】垂直于同一个平面的两个平面平行吗?说明你的理由.
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解答题-问答题
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【推荐1】如图,边长为
的等边三角形
所在的平面垂直于矩形
所在的平面,
,
为
的中点.
![](https://img.xkw.com/dksih/QBM/2019/1/9/2115133446840320/2115814078988288/STEM/af631afe390a4cb1acc3e78d4632b5b7.png?resizew=179)
(1)证明:
;
(2)求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c1ac2e11788860424508ea9e80cf89d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/2019/1/9/2115133446840320/2115814078988288/STEM/af631afe390a4cb1acc3e78d4632b5b7.png?resizew=179)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbcc91180cb7cc891f78dd3b1516e697.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faa23fa14f624ad8212bda55d321362f.png)
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【推荐2】如图,已知直三棱柱
的侧面
是正方形,点
是侧面
的中心,
,
是棱
的中点.
![](https://img.xkw.com/dksih/QBM/2016/2/15/1572472770240512/1572472776351744/STEM/67fc9a998f6e48edb31552b24930574f.png)
(1)求证:
平面
;
(2)求证:平面
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57f47d6a88e962cd790d2f159c021ec1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9a8181f7a7fe7f3fac872ce9534f15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9a8181f7a7fe7f3fac872ce9534f15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e612b79595292d25bcb611f2cd592044.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/2016/2/15/1572472770240512/1572472776351744/STEM/67fc9a998f6e48edb31552b24930574f.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280247d7df395bb9ea78c51e67b458d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
(2)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73fcf70859f620a7492e1351327725c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9afac7c616bbb14e1ed428a3c507c7dc.png)
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