如图所示,在直三棱柱
中,
,
,
,
,
是棱
的中点.
(1)证明:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10d8eb4a9f462ca0c1d49c3fe91e720d.png)
平面
;
(2)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57f47d6a88e962cd790d2f159c021ec1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/405d4e4b1755e82269bb95b1e1a44d23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7aeb2a8d1437eeb4482c3b6ad9f315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1192b3111a6dad01bba5227472bb4072.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10d8eb4a9f462ca0c1d49c3fe91e720d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4237f6a1fc115bb790aa10704b7908c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07b7903de4be7d5dc1175cfbf6e8da9f.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a783c7c0d9ae283307609e0cf9f30150.png)
![](https://img.xkw.com/dksih/QBM/2012/6/7/1570882593759232/1570882599149568/STEM/266c01fb273949bda7069a9d3e9b885c.png)
10-11高三上·江苏南京·期中 查看更多[3]
(已下线)2010年江苏省南京市金陵中学高三上学期期中考试数学试题(已下线)2011—2012学年度宁夏银川一中高二上学期期末考试理科数学试卷(已下线)2011-2012学年河南省周口市四校高二下期中理科数学试卷
更新时间:2019-01-30 18:14:09
|
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解答题-作图题
|
适中
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名校
【推荐1】如图(1)是一正方体的表面展开图,MN和PB是两条面对角线,请在图(2)的正方体中将MN和PB画出来,并就这个正方体解决下面问题.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/6/7a4e5bae-61b6-45d8-a25f-5e05aa2eaf04.png?resizew=199)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/6/49561065-d922-4652-8c70-c4cd9689d52f.png?resizew=199)
(1)求证:MN //平面PBD;
(2)求证:
平面
;
(3)求PB和平面NMB所成的角的大小.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/6/7a4e5bae-61b6-45d8-a25f-5e05aa2eaf04.png?resizew=199)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/6/49561065-d922-4652-8c70-c4cd9689d52f.png?resizew=199)
(1)求证:MN //平面PBD;
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14ddcfd8985d6ef923063a301e2bc5ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f571a1aac46c6d0cf440c0ec2846bf9.png)
(3)求PB和平面NMB所成的角的大小.
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解答题-问答题
|
适中
(0.65)
名校
【推荐2】如图,四棱锥
的底面为正方形,
底面
.设平面
与平面
的交线为l
![](https://img.xkw.com/dksih/QBM/2021/3/17/2679849581092864/2788093183205376/STEM/31f41799-45f8-44c0-a915-0438713841d7.png?resizew=263)
(1)证明:
平面
;
(2)已知
为
上的点,且
如图所示,求
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
![](https://img.xkw.com/dksih/QBM/2021/3/17/2679849581092864/2788093183205376/STEM/31f41799-45f8-44c0-a915-0438713841d7.png?resizew=263)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9df740160690029ac1e730c85f20347.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/218054144a13435580cd132b9459546c.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/509cd7411084cbe87ed4513065c7b088.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9e3f3f09715fd737324ea48c3696485.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c550269f3199038726f55cbd281c13a.png)
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解答题-证明题
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适中
(0.65)
名校
【推荐1】如图,在四棱锥
中,底面
是正方形,侧面
是正三角形,
.
为
的中点.
![](https://img.xkw.com/dksih/QBM/2021/5/17/2723022082547712/2723227728052224/STEM/d9bf4d06a0674803a29e3275a58aae8d.png?resizew=181)
(1)求证:
∥平面
;
(2)求锐 二面角
的余弦值﹒
![](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/852aabd89edffc1b94344ff3f1f31ccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37002ada5d194d4d062fa3285d7d9824.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://img.xkw.com/dksih/QBM/2021/5/17/2723022082547712/2723227728052224/STEM/d9bf4d06a0674803a29e3275a58aae8d.png?resizew=181)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/152cfd5011c94e02c1a9cbbd4d8f58bb.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/053932dc8c5eebbc739256cb4de6c71d.png)
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解答题-证明题
|
适中
(0.65)
【推荐2】如图,已知三棱柱
,侧面
为菱形,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/20/af3cd933-ce26-47cf-80e8-e7ea15f394bf.png?resizew=203)
(1)求证:
平面
;
(2)若
,
,
,求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1b4cf3c14dd4dd780bfedcdd1b993aa.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/20/af3cd933-ce26-47cf-80e8-e7ea15f394bf.png?resizew=203)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e16f65c3a318220c2f5baac171bbb61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a211ad5a06b505b8365a62c1946f3cb7.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a9f99fb3252a4b3b7a62e8a675ddce9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31651f4cb41a9604f6e50e09e285ce12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b4cdc3a083d1263634d510f172dab09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a11228485e2af3df6f23d0a613f1e30.png)
您最近一年使用:0次