(本小题满分12分)
在三棱柱
中,侧棱
,点
是
的中点,
.
(1)求证:
∥平面
;
(2)
为棱
的中点,试证明:
.
在三棱柱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57f47d6a88e962cd790d2f159c021ec1.png)
![](https://img.xkw.com/dksih/QBM/2012/10/29/1571040204709888/1571040210337792/STEM/684428eb63694a73ac029932853f2e79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aad91719bd5fdc1b2d3d5298f2f44cc2.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee8456443402a25b1e25d35ff7e1c98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5888bec948373f3854258ad80171073d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd2ac002c270a3c04febf64b08667705.png)
![](https://img.xkw.com/dksih/QBM/2012/10/29/1571040204709888/1571040210337792/STEM/a741cea3d4f347e79e31d0e22f4b1010.png)
11-12高二·江西上饶·阶段练习 查看更多[3]
(已下线)2012-2013学年江西省上饶中学高二第一次月考理科数学试卷2015届江苏省宿迁市重点中学高三下学期期初开学联考理科数学试卷2015届江苏省宿迁市重点中学高三下学期期初开学联考文科数学试卷
更新时间:2016-12-02 01:12:24
|
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解答题-证明题
|
适中
(0.65)
解题方法
【推荐1】已知:直线a∥平面M,直线a∥平面N,平面M∩平面N=b.求证:a∥b.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/56175217-70e5-4117-8ae4-1d13a098ca76.png?resizew=270)
您最近一年使用:0次
解答题-证明题
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适中
(0.64)
【推荐2】在正四棱柱
中,
为
的中点.
![](https://img.xkw.com/dksih/QBM/2016/11/18/1579005317308416/1579005317898240/STEM/73bace0329014569a3be3d369c7677a0.png)
(1)求证:
平面
;
(2)求异面直线
与
所成角的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8456cee87c4e22351affc28f3a73a0f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://img.xkw.com/dksih/QBM/2016/11/18/1579005317308416/1579005317898240/STEM/73bace0329014569a3be3d369c7677a0.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4557a368725226f2c8ea2efb7d30e478.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34be4e71cabf458f17a6cd7f24bc70af.png)
(2)求异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ce1b066f8869d0ff4513f7a99745125.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
您最近一年使用:0次
解答题-证明题
|
适中
(0.65)
【推荐1】如图,在等腰梯形
中,
,
,
,
,
为
上的点且
,将
沿
折起到
的位置,使得平面
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc6e4b936d7a800e839a30c3839574d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037b342a682cbd4241855a243da3c016.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/341e8dae00f6b2abc94199ccfd6cf180.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
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(Ⅰ)求证:;
(Ⅱ)求二面角的余弦值.
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解答题-证明题
|
适中
(0.65)
名校
解题方法
【推荐2】如图,在三棱锥
中,平面
平面
,且
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/cecb2d33-395c-4556-b1ae-d06084ae8e0a.png?resizew=192)
(1)求证:
;
(2)求直线
与
所成角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e5db1d2fd912f77923e4c120a7dc19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78307cd417504554a4e2276fe24d1162.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57dfc475f6e48703f179fe57354a4c35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a2425ef84758949c96ae31a08949ff4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/cecb2d33-395c-4556-b1ae-d06084ae8e0a.png?resizew=192)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bc50067f63e524f638e2464bfa6ed73.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a6e2867f32d3f1c3cd36cd3a11a8580.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
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