1 . 如图:直三棱柱
中,
,
,
为
中点.
![](https://img.xkw.com/dksih/QBM/2016/5/10/1572630313705472/1572630319996928/STEM/c9c07dcbbc39452eaaa6c8149d8431e0.png)
(Ⅰ)求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18aee446eff8e431e170fae90e4de7ce.png)
(Ⅱ)求二面角
的正切值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57f47d6a88e962cd790d2f159c021ec1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4b446884bf8f1afc609a9e681998e5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29ba708880f5eb782acbf2c961c2494c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://img.xkw.com/dksih/QBM/2016/5/10/1572630313705472/1572630319996928/STEM/c9c07dcbbc39452eaaa6c8149d8431e0.png)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18aee446eff8e431e170fae90e4de7ce.png)
(Ⅱ)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/343d2cc05bba3afc674d7c9628980282.png)
您最近一年使用:0次
2016-12-04更新
|
363次组卷
|
2卷引用:甘肃省西北师范大学附属中学2017届高三下学期第四次校内诊断考试数学(理)试题
2 . 如图,在四棱柱
中,底面
是等腰梯形,
,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e921f46d90e43f4517c55832b6280f9.png)
∥
,顶点
在底面
内的射影恰为点
.
![](https://img.xkw.com/dksih/QBM/2015/4/13/1572067450290176/1572067456212992/STEM/129b29b3ebc147e3829b723cbff7d6c0.png)
(Ⅰ)求证:
;
(Ⅱ)在
上是否存在点
,使得
∥平面
?若存在,确定点
的位置;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8456cee87c4e22351affc28f3a73a0f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e921f46d90e43f4517c55832b6280f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6795cae2df43a722e1355e9562d93c09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://img.xkw.com/dksih/QBM/2015/4/13/1572067450290176/1572067456212992/STEM/129b29b3ebc147e3829b723cbff7d6c0.png)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c530ae8e3cc2e7055c7e1fb2996fac1d.png)
(Ⅱ)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19ef601ca1f9c4c031adab4ffed297f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ebb05874eb3353d754af24c9974273e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
您最近一年使用:0次
3 . 如图,四棱锥
中,
是正三角形,四边形
是矩形,且平面
平面
,
,
.
(1)若点
是
的中点,求证:
平面![](https://img.xkw.com/dksih/QBM/2014/7/8/1571816103886848/1571816109793280/STEM/b21a8960943e44a786b10a0f0ee5c47e.png)
(2)若
是线段
的中点,求三棱锥
的体积.
![](https://img.xkw.com/dksih/QBM/2014/7/8/1571816103886848/1571816109793280/STEM/9e153942d946452f843f6c30631142e8.png)
![](https://img.xkw.com/dksih/QBM/2014/7/8/1571816103886848/1571816109793280/STEM/76115ec507c64b2681c39eaa23f79e65.png)
![](https://img.xkw.com/dksih/QBM/2014/7/8/1571816103886848/1571816109793280/STEM/8374a74dd8f34cf0aafb5805b2bde08b.png)
![](https://img.xkw.com/dksih/QBM/2014/7/8/1571816103886848/1571816109793280/STEM/1605686eeeea4914b188b7e5c4cba4a7.png)
![](https://img.xkw.com/dksih/QBM/2014/7/8/1571816103886848/1571816109793280/STEM/8374a74dd8f34cf0aafb5805b2bde08b.png)
![](https://img.xkw.com/dksih/QBM/2014/7/8/1571816103886848/1571816109793280/STEM/690aacbb3c6e4344a931f8b4b978b940.png)
![](https://img.xkw.com/dksih/QBM/2014/7/8/1571816103886848/1571816109793280/STEM/d73ce13e25074c97b67ba8ff536d0b45.png)
(1)若点
![](https://img.xkw.com/dksih/QBM/2014/7/8/1571816103886848/1571816109793280/STEM/0ea47bfc2a4e4b61a54f257bb7ade5a3.png)
![](https://img.xkw.com/dksih/QBM/2014/7/8/1571816103886848/1571816109793280/STEM/be16f9c886c2466c8ca93d0d778ba23c.png)
![](https://img.xkw.com/dksih/QBM/2014/7/8/1571816103886848/1571816109793280/STEM/fbfd9d6ea76d4f47a352e30aef883e12.png)
![](https://img.xkw.com/dksih/QBM/2014/7/8/1571816103886848/1571816109793280/STEM/b21a8960943e44a786b10a0f0ee5c47e.png)
(2)若
![](https://img.xkw.com/dksih/QBM/2014/7/8/1571816103886848/1571816109793280/STEM/b77da7650c8c455390f9a9fbace7a1f2.png)
![](https://img.xkw.com/dksih/QBM/2014/7/8/1571816103886848/1571816109793280/STEM/529ab363bbd444f9afaeb508fb467e55.png)
![](https://img.xkw.com/dksih/QBM/2014/7/8/1571816103886848/1571816109793280/STEM/2db9f8fa77434871b821abf450839303.png)
![](https://img.xkw.com/dksih/QBM/2014/7/8/1571816103886848/1571816109793280/STEM/1a20db54a4d249158276cacf727372de.png)
您最近一年使用:0次
2016-12-03更新
|
2130次组卷
|
3卷引用:2014届甘肃省兰州一中高考模拟四文科数学试卷