解题方法
1 . 如图,四棱锥
中,底面
为直角梯形,
平面
为
的中点.
![](https://img.xkw.com/dksih/QBM/2021/5/2/2712442821754880/2712925142089728/STEM/da3f21425bf24c04ad6567b2190bfb6d.png?resizew=306)
(1)求证:平面
平面
;
(2)若
,求四棱锥
的体积.
![](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/71bf9073d2482417584bf8cf4b78a3f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c410147309824e6185c960c3edcaf41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://img.xkw.com/dksih/QBM/2021/5/2/2712442821754880/2712925142089728/STEM/da3f21425bf24c04ad6567b2190bfb6d.png?resizew=306)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d077f6da8b2c00b152d4679aa2ed7f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40c1a03f93b56a1fb0b57d20d53b4323.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
您最近一年使用:0次
2021-05-03更新
|
2546次组卷
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3卷引用:湖南省长沙卓华高级中学2020-2021学年高一下学期第三次月考数学试题
2 . 如图所示,在梯形ABCD中,AD∥BC,AB⊥BC,AB=BC=1,PA⊥平面ABCD,CD⊥PC.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/28/649e22d8-428f-40de-a63d-a8214b6a72f0.png?resizew=155)
(1)设
为
中点,证明:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d82f9287f42a4e0df1e0cb607c5125b.png)
(2)若
,
与平面
所成角的正弦值
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/28/649e22d8-428f-40de-a63d-a8214b6a72f0.png?resizew=155)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d82f9287f42a4e0df1e0cb607c5125b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f6967901d6c855864df01e7bf7a15c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
您最近一年使用:0次
2020-10-07更新
|
798次组卷
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3卷引用:湖南省株洲市攸县第三中学2021届高三下学期第五次月考数学试题
3 . 如图,直角三角形
所在的平面与半圆弧
所在平面相交于
,
,
,
分别为
,
的中点,
是
上异于
,
的点,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/22/de6583c9-2e76-4d4d-a8d8-3c8fbaca3353.png?resizew=208)
(1)证明:平面
平面
;
(2)若点
为半圆弧
上的一个三等分点(靠近点
)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7abd284f76d9f5769bc189508ce2572b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bd6ffb78dad3375efa3b08ab518553d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a05e0ab55e325fb3b85fc8ca9c27c76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bd6ffb78dad3375efa3b08ab518553d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbb6e4368e1158045340ea765cc318b6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/22/de6583c9-2e76-4d4d-a8d8-3c8fbaca3353.png?resizew=208)
(1)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3599e2d14048d66477e736223dd591d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bd6ffb78dad3375efa3b08ab518553d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da0f73cf7ab0c2a8a0099cb2873c81f4.png)
您最近一年使用:0次
2019-05-18更新
|
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8卷引用:湖南省长沙市雅礼中学2021届高三下学期高考热身训练数学试题
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