12-13高一上·广东深圳·期末
名校
1 . 如图,在四棱锥P—ABCD中,PA⊥底面ABCD,AB⊥AD,AC⊥CD,∠ABC=60°,PA=AB=BC,E是PC的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/7/cb08f7ac-b9db-4ecc-b8fc-f3d080c9efcc.png?resizew=138)
(1) 证明:AE⊥平面PCD;
(2) 求PB和平面PAD所成的角的大小.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/7/cb08f7ac-b9db-4ecc-b8fc-f3d080c9efcc.png?resizew=138)
(1) 证明:AE⊥平面PCD;
(2) 求PB和平面PAD所成的角的大小.
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2017-02-08更新
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10卷引用:2015-2016学年内蒙古包头市包钢四中高一上学期期末理科数学试卷
2015-2016学年内蒙古包头市包钢四中高一上学期期末理科数学试卷(已下线)2011-2012学年广东省深圳高级中学高一上学期期末数学试卷2015-2016学年甘肃省兰州一中高一上学期期末数学试卷12016-2017学年广东揭阳惠来县一中高二理上学期段考二数学试卷吉林省长春外国语学校2016-2017学年高一下学期期末考试数学(文)试题安徽省安庆市潜山第二中学2019-2020学年高二上学期第一次月考数学试题(已下线)【新教材精创】11.4.1 直线与平面垂直(第2课时)导学案(2)5.1 直线与平面垂直练习题-2021-2022学年高一下学期数学北师大版(2019)必修第二册4.3.2 直线与平面垂直(已下线)专题 14 立体几何中线面垂直的判定问题(一题多解)
2 . 如图,在直三棱柱
中,
,
,且
是
中点.
![](https://img.xkw.com/dksih/QBM/2016/3/28/1572558230298624/1572558236524544/STEM/826d4324e1ff4e65ad1e556f4e7d2807.png)
(Ⅰ)求证:
平面
;
(Ⅱ)求证:
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57f47d6a88e962cd790d2f159c021ec1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4482938199ddfa1129dc9c9975c3d35.png)
![](https://img.xkw.com/dksih/QBM/2016/3/28/1572558230298624/1572558236524544/STEM/34b840f4cb0240b98c4e0bbd76b222a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/2016/3/28/1572558230298624/1572558236524544/STEM/826d4324e1ff4e65ad1e556f4e7d2807.png)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/896e293411e2fd0da215ff20781cb36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db3ef97d64e58d311019b70fe5e2cc0d.png)
(Ⅱ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f5e9b7e51ad1cfce7edd61997dc1a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db3ef97d64e58d311019b70fe5e2cc0d.png)
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2016-12-04更新
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2卷引用:2015-2016学年内蒙古赤峰市宁城县高一上学期期末考试数学试卷
3 . 在如图的几何体中,平面
为正方形,平面
为等腰梯形,
∥
,
,
,
.
![](https://img.xkw.com/dksih/QBM/2015/8/7/1572207496101888/1572207502032896/STEM/e0524f40220c4161aef51aa302c112c4.png?resizew=196)
(Ⅰ)求证:
平面
;
(Ⅱ)求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b32c05247f6998d7a70d31d13be4148c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.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/5181b97a7e43959b8455680157c3b644.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d4e574c9d139615d991a168cfbf63b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac5867254f6e74a3e31237279cd481f6.png)
![](https://img.xkw.com/dksih/QBM/2015/8/7/1572207496101888/1572207502032896/STEM/e0524f40220c4161aef51aa302c112c4.png?resizew=196)
(Ⅰ)求证:
![](https://img.xkw.com/dksih/QBM/2015/8/7/1572207496101888/1572207502032896/STEM/be0eba0b91914b259ed2983835344503.png?resizew=43)
![](https://img.xkw.com/dksih/QBM/2015/8/7/1572207496101888/1572207502032896/STEM/a4b78d26c7d44040a7b22ad19e2304da.png?resizew=37)
(Ⅱ)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://img.xkw.com/dksih/QBM/2015/8/7/1572207496101888/1572207502032896/STEM/a176a5724dcd40f08f52b75f4b2b13ba.png?resizew=39)
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2016-12-03更新
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5卷引用:2014届内蒙古呼伦贝尔市高三高考模拟二理科数学试卷
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