如图,四棱锥
中,
,四边形PACQ为直角梯形,
,
,且
,
.
![](https://img.xkw.com/dksih/QBM/2022/4/28/2968165639356416/2973714898862080/STEM/edcd008b-3da3-473f-a1b9-cb53b927a950.png?resizew=167)
(1)求证:直线
平面PAB;
(2)若直线CA与平面PAB所成线面角为
,求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c74f1828d17c2059a2966fe960757541.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8af620f6d204d310d8e3f267fdd6c3f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0d9ef979b9f27a28cbda6923e888ccc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28b0a8ce98e195c4fa22af9b71defc28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04af1c1856ba1c7cc969de81d77aabd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26a42b05e06fe34d66538930787bb3e.png)
![](https://img.xkw.com/dksih/QBM/2022/4/28/2968165639356416/2973714898862080/STEM/edcd008b-3da3-473f-a1b9-cb53b927a950.png?resizew=167)
(1)求证:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2ffc6952e988d04f22f0fb2f7f0ab7b.png)
(2)若直线CA与平面PAB所成线面角为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4a3349d81e399a0d565613429cb795.png)
更新时间:2022-05-06 19:41:21
|
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解题方法
【推荐2】如图,四棱锥
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
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![](https://img.xkw.com/dksih/QBM/2020/5/12/2461205149810688/2462067895451648/STEM/31dc889a8bbb4dd985decc40df6399f8.png?resizew=238)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/932a04304f2d4975955d4baabb2deeea.png)
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名校
解题方法
【推荐1】如图,在四棱锥中,
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,
,
,
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,点
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(1)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72aaf3dd6430012945b647bdb51042c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1af39ac32939151e7f33b3139f31995f.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5c62f22d7afc5627fcb86599faa8e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8948ac8156d19336083987d47b0f7038.png)
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![](https://img.xkw.com/dksih/QBM/2021/3/8/2673415900463104/2683431175331840/STEM/734d25c32acb41b7b64fcc2a81a2b4d3.png?resizew=174)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/554923047631d16320c2ba39abeee99c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a8fb8e76adfa8aa3614aedef31d8079.png)
(2)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38e044863501be208254cbc0bd13bcda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e48e2f18c4c61dfcc908827ac3c8a204.png)
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