如图,在四棱锥
中,
底面ABCD,
,
,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/7/c59ca4fd-69b1-4400-9dcc-cc3ae0f3ae6c.png?resizew=139)
(1)证明:平面PCD⊥平面PBC;
(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/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1134c8e3440abb6cd385af2c169037fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a88c44f558705de3bcefcfc0ece96b8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ffc2817fa590affb5a760a25dc65308.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18834f4ba51bf4d490f35ed02379fec7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/7/c59ca4fd-69b1-4400-9dcc-cc3ae0f3ae6c.png?resizew=139)
(1)证明:平面PCD⊥平面PBC;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58fc6a5e71fa379d613ac1ef1cdf1048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
22-23高三下·全国·开学考试 查看更多[3]
江西省赣州市、河南省开封市(多地区学校)2023届下学期高三开学考试数学(文)试题河南省开封市五县2022-2023学年高三下学期开学考试文科数学试题(已下线)河南省济源市、平顶山市、许昌市2022届高三文科数学试题变式题16-20
更新时间:2023-01-31 20:26:37
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解答题-问答题
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解题方法
【推荐1】已知
,且
.
(1)求
的值;
(2)求
的值;
(3)求角
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8132c15d7581640d921e49e586fc3e0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba8683ba2e150471174a6915494b3593.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14593b0e397cd43b5a961f1ac497a5b1.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d66c03d4ca06819a6ce7fc8ea6de0f0.png)
(3)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd927b4b5a7875528c1b54aa4bb8b2dd.png)
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【推荐1】设
的内角A,B,C所对的边分别为a,b,c.
,
分别为方程
的两根.
(Ⅰ)求sinB;
(Ⅱ)若
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b01adc561735ff5be9bb97266918f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6402f1010e94be78552ed4c45548b1b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f3a6845cd35a8f707a1310d49efcc9.png)
(Ⅰ)求sinB;
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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【推荐2】在
中,角
所对的边分别为
,
,
,且
.
(Ⅰ)求角
的值;
(Ⅱ)若
,
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41ffcaebe46ccbf1d2959505cf62177a.png)
(Ⅰ)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8120119749d4bc28067e73fca7d46cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcdb7a488910743dc5c63afb394b87e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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【推荐1】在直三棱柱ABC-A1B1C1中,AC=BC=AB=2,AA1=3,D点是AB的中点
![](https://img.xkw.com/dksih/QBM/2018/12/10/2093695220662272/2095097345318912/STEM/31ce7a934bbd4773a9e542050bab4149.png?resizew=102)
(1)求证:BC1∥平面CA1D.
(2)求三棱锥B-A1DC的体积.
![](https://img.xkw.com/dksih/QBM/2018/12/10/2093695220662272/2095097345318912/STEM/31ce7a934bbd4773a9e542050bab4149.png?resizew=102)
(1)求证:BC1∥平面CA1D.
(2)求三棱锥B-A1DC的体积.
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【推荐2】如图,四棱锥
的底面
是边长为2的菱形,
.已知
.
![](https://img.xkw.com/dksih/QBM/2013/7/17/1571285433262080/1571285438873600/STEM/01ac40461d5d4853ba9100835a2dbcc6.png?resizew=302)
(Ⅰ)证明:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e4125524caac016727c80d2722c5ba3.png)
(Ⅱ)若
为
的中点,求三棱锥
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/e6906f59d09ce31956d6f5ea2b23fc77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b4c7ccee57161162e10294aecf2b0b4.png)
![](https://img.xkw.com/dksih/QBM/2013/7/17/1571285433262080/1571285438873600/STEM/01ac40461d5d4853ba9100835a2dbcc6.png?resizew=302)
(Ⅰ)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e4125524caac016727c80d2722c5ba3.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d95e78927443bbadb5bf60f1c836ea24.png)
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【推荐1】如图 ,在四棱锥
中,
平面
,
,
,
,
,
是线段
的中垂线,
,
为线段
上的点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/8/8bb11882-3bce-4e08-89d6-f3a5aad8d7ab.png?resizew=178)
(1)证明:平面
平面
;
(2)若
为
的中点,求四面体
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d02bd5cfe804460846423e77f72db10f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb4564baf209de77802d46cda82995c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb3f9a5da641be35117fd35ba07a6aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f976007b8d754ac3bf5793ed2fce37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbce3a31118582fed5974aa9c9f61f24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bde0ec91820d727ab3126fd7e5eceb02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c04795b3dd7dfcaa60bc74ede42db18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3182db896bc2462331796e2a6108363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a9c6a736e6eac98a676fa3232db5a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae3344889ed13d8f9aaae3f89f4d29a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4d260c4df7b0dc180af6980d21f3371.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/8/8bb11882-3bce-4e08-89d6-f3a5aad8d7ab.png?resizew=178)
(1)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a95364d1a80c4b9a737a49aa344bc86c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27d39f37441ee55dbc8f1a6ca199a66b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4d260c4df7b0dc180af6980d21f3371.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e0f2fbf022aed5a2b8159a6eaf8b484.png)
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解题方法
【推荐2】已知空间四边形
中,
,且
是
的中点.
求证:平面
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92154786abda15c3988ffcb48e08e2c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed5f0cfc1049f84a04c81bd213afb8d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4eb7e9ad5486cf1c5e506b20c5469e8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/30/16b2ab1b-b89b-4c4e-bef1-570ff405dc36.png?resizew=176)
您最近一年使用:0次