![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29eb5ce3f09c49dfa489a3b0bd5beafb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3c92ae7a5cd7a0e337b758f0e443cb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2411849879a4c38a9d17b4c3d19fa110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ceef1abeeef220b4fe5f7d96feedd90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b68020a3d4fa8dc0bc9824985247c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/566f7614d51f0348db982a9440de8844.png)
A.![]() | B.![]() | C.![]() | D.![]() |
【知识点】 等差中项的应用 等比中项的应用 求椭圆的离心率或离心率的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/422582bc9f9212f1743b660bd6aba83a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6f57877de832fb3ea040c122bdc9fd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1935a2b08527337f74169f226c9b8872.png)
A.充分不必要条件 | B.必要不充分条件 | C.充要条件 | D.既不充分又不必要条件 |
【知识点】 判断命题的必要不充分条件解读 已知直线平行求参数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6435011d92d0766cb151aaa698a5b956.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
A.锐角三角形 | B.直角三角形 | C.钝角三角形 | D.等边三角形 |
【知识点】 求空间中两点间的距离
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a2cfa22139b3e9c9a73500e1ba19f52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbc54890a412698ff46b7034503724c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28d6b828057dbc945a2fba0cd25e2bf3.png)
A.2 | B.![]() | C.![]() | D.3 |
【知识点】 余弦定理解三角形解读 求双曲线的离心率或离心率的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ec7fa23be9cbe9a50607ea6bc8a4ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8786e2332514282b5b2e1d8b6aeb7d47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f42150de09b6b2ae029d146529d21a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25a3b3acb05b3b4a485688dd269d6bd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.5 |
【知识点】 求双曲线的离心率或离心率的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d2f1d1d3314a377ee93faf4202decfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1996f60e2c55e0caa2b095ac23ab2b5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a055d94c4c69a7f867c0e2b69bd8041.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a055d94c4c69a7f867c0e2b69bd8041.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/372b3aec21a4a145a1a4a276424c44de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02fb3b22f0bc3c12d3b35789ab8a0faa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cecd13ef7ae16582cc8921ac4693f161.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1996f60e2c55e0caa2b095ac23ab2b5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
【知识点】 由直线与圆的位置关系求参数 已知方程求双曲线的渐近线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bb3cc3f41b9d4680daeb8981248ce6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fab8a0cc6504aa4c3a38006f5394b4c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6093eebca8f3ff82ce9298feb197e955.png)
A.2 | B.![]() | C.4 | D.![]() |
【知识点】 利用定义解决双曲线中焦点三角形问题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cac84e42d53b9ed2ef84fc265e5153e9.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
【知识点】 全称命题的否定及其真假判断解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9def7c418e18985b64f4ebf22a9a206a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5dd764de235b572bbc7fbe666ae649b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25889dca46b87b009fa27b1cbda0ba0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdb48656b29649d0c6d1ac96286ec930.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9def7c418e18985b64f4ebf22a9a206a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25889dca46b87b009fa27b1cbda0ba0d.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分也不必要条件 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47d0814b2019711b0a1922f72175f0ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6385f293aa43d95a04e43d833af7ee1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
A.![]() | B.![]() | C.![]() | D.![]() |
【知识点】 原命题与逆否命题等价性的应用 对数型函数图象过定点问题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da63609b218a9bad8842ea15a158438e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21ed18619e71aa3e0515919a3cd96959.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f477a82ef73df97887be47c931cedd.png)
A.充分不必要条件 | B.必要不充分条件 | C.充要条件 | D.既不充分也不必要条件 |
【知识点】 判断命题的充分不必要条件
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e36f947cbea628b86c51a3fad5ad19d5.png)
A.![]() | B.![]() | C.![]() | D.![]() |
【知识点】 根据抛物线方程求焦点或准线 抛物线的焦半径公式
A.“![]() ![]() |
B.命题“若![]() ![]() ![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() ![]() |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e8953ded144195804384dcb494d5e2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c904567c3b3734e1eca8d042ef7a7b2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e1fa37c4c826b5dcfebe86ab6177906.png)
A.1 | B.2 | C.3 | D.4 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
A.充分条件 | B.必要条件 | C.充要条件 | D.既非充分条件又非必要条件 |
【知识点】 判断命题的必要不充分条件解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
A.![]() ![]() ![]() |
B.若![]() ![]() |
C.![]() |
D.![]() |
【知识点】 椭圆定义及辨析 与复数模相关的轨迹(图形)问题解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a46e678bf9d2df5ad4c782b3dc22f5.png)
A.![]() ![]() | B.![]() ![]() | C.![]() ![]() | D.![]() ![]() |
【知识点】 判断命题的必要不充分条件解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c9cf2c1f02074cef91b96feddcfe020.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/25/cc3001d0-5c9b-4ce7-bdcb-de0d890575f9.png?resizew=189)
A.曲线![]() |
B.曲线![]() ![]() |
C.曲线![]() ![]() |
D.方程![]() ![]() |
【知识点】 基本不等式求积的最大值解读 由方程研究曲线的性质
①若等比数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97b794ed9de8e93de6e067c3d0259558.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a70b95c53fb6655721e2a8c61f5c2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
②若两非零向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdbc0945b4e1962e66f6f7e7f6af235d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
③在锐角△ABC中,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baa8d75a6638e08eedbff8662267da6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b56c0452faa9377574227c3df2b4c46.png)
④已知数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67c4593f37ce523cfa8fb5c102240319.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
其中正确说法的有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294b85c50741fbeeeb3f52f012434afa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da229a630fc2cccdfc95f9407a8db444.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87f277969de81609ef9b7beec3da306e.png)
【知识点】 抛物线上的点到定点和焦点距离的和、差最值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/825893f68bb66b90d6f59b0cebf269b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/673621e746cff655a8fca9b1debb398b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c1f7040233c8b7050b799b08d632d51.png)
【知识点】 求空间两点的中点坐标
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572123335229440/1572123341398016/STEM/37937e16ed014edfba7247a8514d65c7.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572123335229440/1572123341398016/STEM/ddb37f161a2244cb852155cb507baab9.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572123335229440/1572123341398016/STEM/bdaca529be0949b9b990ea6954c3c600.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572123335229440/1572123341398016/STEM/b266481316ec4650b7ee5711caf4e4bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ada997358954bc9aae90c992e0a683a0.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572123335229440/1572123341398016/STEM/f09088deb4cd4ec1b71574c5d1b2cf07.png)
(1)求椭圆的标准方程;
(2)过椭圆的右焦点
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572123335229440/1572123341398016/STEM/bdaca529be0949b9b990ea6954c3c600.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572123335229440/1572123341398016/STEM/be2e88a6b86f40a4afa7c5ad71b05783.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572123335229440/1572123341398016/STEM/49be2b96d3954c97ae2b9d54e936c5db.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572123335229440/1572123341398016/STEM/be2e88a6b86f40a4afa7c5ad71b05783.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572123335229440/1572123341398016/STEM/e16fe6823f5f4d42bc7dbec0bbc348c9.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572123335229440/1572123341398016/STEM/bd4a66ca1c064fa192db386a1d777e22.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572123335229440/1572123341398016/STEM/49be2b96d3954c97ae2b9d54e936c5db.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572123335229440/1572123341398016/STEM/b1dad1a5a33047fe8afe18191dd4b969.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572123335229440/1572123341398016/STEM/079e081320c54c458c1247a8d2ff453f.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572123335229440/1572123341398016/STEM/1b216e825b854943a36eb49027b88c33.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572123335229440/1572123341398016/STEM/0bb0d47277d643efa8a206fb67ec865c.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572123335229440/1572123341398016/STEM/1566500362854beb99c3afc4cdea403c.png)
【知识点】 根据a、b、c求椭圆标准方程 求椭圆中的最值问题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fddca36a04a90bd2127a23148241a408.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52ad7c068b9b7c0fd764cf7746407079.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f5c1cc1167a8273b4874576455722b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec56d586906ebaaa3c32c85a415f4c69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be452c8bdea6b4e4c7a6d96e9dc6a51c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/2/cb10a838-7dc2-442a-8432-6a421f48cd11.png?resizew=192)
(Ⅰ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7cd0afa4f2f0ed37fd908afe43f2fe0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(Ⅱ)试判断直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
【知识点】 抛物线中的定值问题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://img.xkw.com/dksih/QBM/2012/5/31/1570875276500992/1570875282120704/STEM/ff0b7bf6e2864cc980facbed63e223a0.png?resizew=139)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcab89af1a6510b60cd8377b754d450d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef74c4299221a967507c6a179337581a.png)
(1)求双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa4b9c4ddbe4218edabe94f52267795.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4474a045c325961aac52849e0a7d92.png)
(3)过双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://img.xkw.com/dksih/QBM/2012/5/31/1570875276500992/1570875282120704/STEM/f73b0c7e91744296bf116fd45cfd287c.png?resizew=63)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/475a3fdc7b27d5ffa8c864dc478903d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bae6883ecce3bdd570260fb0b52fa7a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e60acc422d646215b2597980a79042f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b42fc33bcfc63ec2f4940ccd3f862400.png)
![](https://img.xkw.com/dksih/QBM/2017/10/8/1790787053158400/1791003849695232/STEM/a0cae8579a8b466d846d7b752a5d6995.png?resizew=205)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d42cb68c5c877a455ba7ac0a6b6a651.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
【知识点】 根据a、b、c求椭圆标准方程 椭圆中的定值问题 根据韦达定理求参数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd24f3c4bc9f9a75d4b28630bb630d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344ccbf79da6ad7e3709d6fa72efb756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)证明:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85d23fc512ad69a2d5919ce690407704.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c2b2b4663b85d602879aecdc001ed14.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89c1972246a0a3d1c987d25205dbdd99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.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/d832ab013e86b4cc039a98cd99e57464.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
【知识点】 椭圆中的直线过定点问题
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/29/d35d347f-31cf-4d92-8005-402ad500c2d5.png?resizew=138)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4045e804dd60d76364f831e44f2362aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99a1b3d5f4068fbcba6e4b47971d51a8.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4045e804dd60d76364f831e44f2362aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9795e7f5cb9b366776c41d8f3f43942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe40a454a3c6213b97e95d6cc4b92acd.png)
【知识点】 空间向量的加减运算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dae6629e0dbf18af625cb804874afb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3389f53711264b0acba3ba6019f8b908.png)
![](https://img.xkw.com/dksih/QBM/2020/5/8/2458144213245952/2458399880642560/STEM/c7359780a611492f9e3fd3463c5a6e02.png?resizew=174)
(1)求椭圆C的标准方程;
(2)若直线MN与x轴平行,求直线MN的方程;
(3)求四边形AMBN面积的最大值,并求对应的点P的坐标.
【知识点】 求直线与椭圆的交点坐标 求椭圆中的最值问题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4dd4670828f75bc573b52cdd02e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b26e40b76a3027c1c4b760d01227478a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(I)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/658aa70a197c830aa765f2f7ea4c86c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(II)求满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d76508d528e5a9495e57b6eea3c962d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e075468e7fb0bf30229aec01a7205977.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/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31cfd3948a2fb76d99c35bc2d233b784.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://img.xkw.com/dksih/QBM/2018/7/24/1995353758097408/2020883181256704/STEM/9f841d1319744c20ac394173de5b635a.png?resizew=395)
![](https://img.xkw.com/dksih/QBM/2018/7/24/1995353758097408/2020883181256704/STEM/fa9387e633414d3a853e011c06a68050.png?resizew=353)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)若平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4465a96d65de0f859ea4ec9e548204d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1633988fd62a652de726ee92a917b52d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63a253c7fdf589ee3dece13d5b5b5732.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87c0bfeadcf17b2a45896071f07a4a5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39ea1f5bdd213c7c3a571b4c38850bf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abeecbeb608c686ea8c36221a4d8fc46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
【知识点】 抛物线定义的理解 求抛物线上一点到定点的最值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96661efb1f3c64c9fc31d9b6480392e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f96848b9ec6c8d71adca5d8afa07582d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a53ec3036de026dbe6dadb1ced7bdd8.png)