如图,在三棱柱
中,侧面
底面
,
,
,点
,
分别是
,
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/15/6eb9601b-b7cb-4a81-9b20-75f5b4ee20cb.png?resizew=240)
(1)证明:
平面
;
(2)若
,
,求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61cdaadeae37736a1e6dd93fa1fe712f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7e3c9e7c05de9838c0c5d762720d3ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fead0fc3913feaeef8e8b53f136cdaf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/15/6eb9601b-b7cb-4a81-9b20-75f5b4ee20cb.png?resizew=240)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/063510e3c1fb6a7ccc3b8e3e3c7d660e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b94e97d085cea077cb82a0b7d2f523e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b57fdd2a3642716fcf5100011eb3ec88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
更新时间:2017-05-24 22:03:37
|
相似题推荐
解答题-问答题
|
适中
(0.65)
解题方法
【推荐1】已知函数
.
(1)将f(x)的图象向右平移
个单位得到g(x)的图象,求函数g(x)的解析式和最小正周期;
(2)在锐角△ABC中,内角A,B,C所对的边分别为a,b,c,若f(A)=1,a=
,b=2,求△ABC的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96d63cc72fee5098bc8efc9f5ae28da.png)
(1)将f(x)的图象向右平移
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67d01e61dc0042e67b5e8ec8e727c22.png)
(2)在锐角△ABC中,内角A,B,C所对的边分别为a,b,c,若f(A)=1,a=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/619096595112f0340a43b756e114dd3d.png)
您最近一年使用:0次
【推荐2】在①
;②
;③
这三个条件中任选一个作为已知条件,然后解答问题.
已知
的内角
、
、
的对边分别为
、
、
,且_____.
(1)求
;
(2)若
为
的中点,且
,
,求
、
的值.
注:如果选择多个条件分别解答,按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2ba6804db8e983eed54ae1286e2124c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6fa1c1353475099fd66b37518cc21a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78d26af5438a7f77f1b22a07c28c110f.png)
已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1892446e9f5c057a6d72a64065d01ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01dcc9341f0c7b85b283aa974862aa22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
注:如果选择多个条件分别解答,按第一个解答计分.
您最近一年使用:0次
解答题-证明题
|
适中
(0.65)
名校
解题方法
【推荐1】在四棱锥
中,
平面
,底面
是正方形,
,
分别为
,
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/27/31172372-162e-4de8-a8e0-e95f6ba28dff.png?resizew=180)
(1)求证:
平面
;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5164a3cc47e266446d49127e2ef10c37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f9157fce2a8339d281178c7c0bccbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fa7bbd7831e9ff4f8cffc8889d34f05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fa7bbd7831e9ff4f8cffc8889d34f05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21037e170bdbb322558e79c40c00b454.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/27/31172372-162e-4de8-a8e0-e95f6ba28dff.png?resizew=180)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edcf19a7f0dd0cdf59516ae585025110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c09afc70f448545336304333d5b5658b.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67662c47e2dfa08001a62fa17320f477.png)
您最近一年使用:0次
解答题-证明题
|
适中
(0.65)
名校
解题方法
【推荐2】如图所示,正方体
中,棱长为2,且
分别为
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/12/aaa0aac4-60f4-4946-a384-27689fd0ae18.jpg?resizew=184)
(1)求证:
∥平面
;
(2)求四面体
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31be3b7305d6c181420ea7b28c420851.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/12/aaa0aac4-60f4-4946-a384-27689fd0ae18.jpg?resizew=184)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55ba1f8922a40840d56b1e9b3ae72a5b.png)
(2)求四面体
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44a4854ccdf3fefecfb95e70f1f1a5f0.png)
您最近一年使用:0次
解答题-证明题
|
适中
(0.65)
名校
解题方法
【推荐1】如图,在四棱锥
中,底面
是平行四边形,
,
平面
,
,
,
分别为
,
的中点,点
在线段
上.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/31/9f3a405e-100f-4c19-abc4-51e2f21a5f22.png?resizew=187)
(1)求证:
平面
;
(2)如果直线
与平面
所成的角和直线
与平面
所成的角相等,求
的值.
![](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/319536a5b0d3f94d4b1a495c3b19d79b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f95475bfc06e884754eb4a455c3f434e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c3b8822bbb5ba39c90550ac277cfe88.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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/31/9f3a405e-100f-4c19-abc4-51e2f21a5f22.png?resizew=187)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a5f445af1ae136773cb338920552ff2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
(2)如果直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ce6c0e9de83f2e64ae33609fc08459d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ce6c0e9de83f2e64ae33609fc08459d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47548785e478bc5b9591341a881e3127.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
【推荐2】如图,在四棱锥P—ABCD中,PD⊥底面ABCD,四边形ABCD为正方形,
,E,F分别是AD,PB的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/14/f8fbb1cb-a5b4-4042-a947-c4c98795e84b.png?resizew=188)
(1)证明:EF
平面PCD;
(2)求直线PA与平面CEF所成角的度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43d4c42112e0a22f240ce2ae432e5b4d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/14/f8fbb1cb-a5b4-4042-a947-c4c98795e84b.png?resizew=188)
(1)证明:EF
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
(2)求直线PA与平面CEF所成角的度数.
您最近一年使用:0次
解答题-证明题
|
适中
(0.65)
名校
【推荐3】如图,在直三棱柱ABC−A1B1C1中,AC⊥BC,AC=BC=2,CC1=3,点D,E分别在棱AA1和棱CC1上,且AD=1,CE=2.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/2/40d9ab5a-792d-4067-8314-903c2f12953d.png?resizew=131)
(1)设F为B1C1中点,求证;A1F∥平面BDE;
(2)求直线A1B1与平面BDE所成角的正弦值.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/2/40d9ab5a-792d-4067-8314-903c2f12953d.png?resizew=131)
(1)设F为B1C1中点,求证;A1F∥平面BDE;
(2)求直线A1B1与平面BDE所成角的正弦值.
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