如图,在四棱锥
中,侧面
底面
,
,
,
,满足
,
,底面是直角梯形,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/5/bc87f9c7-ddb2-49b3-a819-e04e147831a2.png?resizew=209)
(1)求证:
平面
;
(2)求三棱锥
的体积;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/342d452a7b850cd3a15b23619ad39bd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37002ada5d194d4d062fa3285d7d9824.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/401ebe6a2f34fe6a533831377a1ed4d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99c96176ccab5e4e0c415272e00f9bd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68f82dde41e40c377018737cf84d63d4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/5/bc87f9c7-ddb2-49b3-a819-e04e147831a2.png?resizew=209)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c372d059202ec388960b125d4a87dc84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
(2)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb761b8a498a8c6310612bdb98bfd02b.png)
更新时间:2019-11-14 10:07:41
|
相似题推荐
解答题-问答题
|
适中
(0.65)
名校
解题方法
【推荐1】如图,在四棱锥
中,
,底面
为梯形,
,
.
中,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/8/5c647464-d19b-4dc3-9ed0-c3f2a30d2a08.png?resizew=158)
(1)若
是线段
上的点,平面
平面
,且
,试判断点
的位置并说明理由;
(2)若
,求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81f17680a23635f823b7dc446e4f3b0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a11029ca6b4b9e7f777af0280cf163c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6acb69f52b245011a41daaefd5b2a316.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55a675310c8ba418e5a59beb7317e21e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d97afe2733b75e9ea3de65c882f851c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3b10835116b9b777a666b438c907b49.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/8/5c647464-d19b-4dc3-9ed0-c3f2a30d2a08.png?resizew=158)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86c44a3e2af1ebe34dd570dbd58c61dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/747e7c4b2f940a9f0a7300a5d0f11cdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d5b5c88bed3eb4d5eb2f2a5d25f0bc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feb67f27bcda7681b19239a199b4c4d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddfe0ccf24d760c77535a70c92dad145.png)
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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,在直四棱柱
中,已知
,
.
(1)求证:
;
(2)设
,且
是
上一动点,当
平面
时,求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8685f5b5ff947449a3123d041ad4f753.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c89b12f86daa259c4107686bd2cdde41.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27003d5a57fa7a89737aaaffc0afd57e.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4aca5534bce25acaeb7379deed8f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88ab3f95669261cacb5f017730202261.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7935fe3125f247b7bea4f065ce9ad985.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6e18b1118152ed4cb68cf6c8c7fdece.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/3/5275f885-dd04-46d3-a5cd-464c46c4bfb3.png?resizew=117)
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解答题-证明题
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适中
(0.65)
名校
解题方法
【推荐1】如图,四棱锥P-ABCD中,PA⊥底面ABCD,底面ABCD为梯形,AD∥BC,CD⊥BC,AD=2,AB=BC=3,PA=4,M为AD的中点,N为PC上一点,且PC=3PN.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/10/ab4b0149-89f5-43f2-aabd-40de9f059da4.png?resizew=146)
(1)求证:MN∥平面PAB;
(2)求点M到平面PAN的距离.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/10/ab4b0149-89f5-43f2-aabd-40de9f059da4.png?resizew=146)
(1)求证:MN∥平面PAB;
(2)求点M到平面PAN的距离.
您最近一年使用:0次
解答题-证明题
|
适中
(0.65)
解题方法
【推荐2】如图,在四棱锥
中,底面
为矩形,
平面
为
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/26/70f77c44-b3e7-4b37-ba1f-7641b8bd5a8f.png?resizew=179)
(1)求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
平面
;
(2)设
,求平面
与平面
所成角的正弦值.
![](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/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23d11e19c84255eb0431415c2dec553d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/26/70f77c44-b3e7-4b37-ba1f-7641b8bd5a8f.png?resizew=179)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a9bfa68259d7a331be323b2038d628a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c66d99a6a8415ddad22bbed33b64cfb.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f47e94ba58afb1d4129913eb6b4cebe7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c66d99a6a8415ddad22bbed33b64cfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9a32bd7a1b78b5a0ec562c4025aea8c.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
【推荐3】如图,平面
平面
,
,四边形
为平行四边形,
,
,
,
为线段
的中点,点
满足
.
![](https://img.xkw.com/dksih/QBM/2021/9/29/2818571676098560/2821148635791360/STEM/1a4ba375-31d2-420e-aca1-ef189c928815.png?resizew=268)
(1)证明:
平面
.
(2)若平面
平面
,求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62974d34de3a12418d6b700420afd1b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b96fac11d72f72c805dbddb8da72d68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c931f80a4e667b5e1c6aa49b5024af7a.png)
![](https://img.xkw.com/dksih/QBM/2021/9/29/2818571676098560/2821148635791360/STEM/1a4ba375-31d2-420e-aca1-ef189c928815.png?resizew=268)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30067b7b236d17af8a462f96a58d11bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/588690c4a218025937357ffab8d63c7a.png)
(2)若平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4aa9084b8fe0fe05c4388d1f835587b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
您最近一年使用:0次