山东省菏泽市2023-2024学年高二上学期期中数学试题(B)
山东
高二
期中
2023-11-23
156次
整体难度:
容易
考查范围:
平面解析几何、集合与常用逻辑用语、三角函数与解三角形、空间向量与立体几何
一、单选题 添加题型下试题
1. 若直线与直线
互相平行,则
的值是( )
A.![]() | B.![]() | C.![]() ![]() | D.![]() ![]() |
【知识点】 已知直线平行求参数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c179fe7eff7abfdd092b63c9c1b82d0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04836ba2906cf6f1e9aecd2a00824aae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
A.![]() | B.![]() | C.![]() | D.4 |
【知识点】 求点到直线的距离
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69fca7cf1100fb3ebeb06a21718995db.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
【知识点】 根据抛物线方程求焦点或准线
4. 已知抛物线的焦点为
,点
在
上.若
到直线
的距离为3,则
( )
A.4 | B.5 | C.6 | D.7 |
【知识点】 抛物线定义的理解 根据抛物线方程求焦点或准线 抛物线的焦半径公式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac7a97a96498258afa44b38589a4233f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2d74f30241b4c93fb22b7f30194eb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.必要不充分条件 | B.充分不必要条件 |
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 由直线与圆的位置关系求参数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8656a0dc4d001a3a07cc73368bcba184.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75ab862567766d171c244a7c2623e943.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8aa9d34edce01c84460ccf875b0f2a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d33558881906c228c262ff8024dcfc4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a33a99190a8fd29c36d5a002e3197cc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/178dddb45025f876802dbdf85b78771e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/10/be70cf4a-a721-4a1e-b3f5-a8304824e76a.png?resizew=361)
A.![]() | B.![]() | C.![]() | D.![]() |
【知识点】 求椭圆的离心率或离心率的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4dd4670828f75bc573b52cdd02e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.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/7810e9bd6f0f318034da319e7a87aea5.png)
A.准线![]() ![]() | B.![]() |
C.![]() | D.以线段![]() ![]() |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c58fa4a337f0b81b991fb32e8e6e3c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/109352bb5acf71d520b6e6632d6eddff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a20559b88e0d9b5082f1ec0d81fa3ea0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
A.![]() | B.![]() | C.![]() | D.![]() |
【知识点】 利用定义求双曲线中线段和、差的最值 求双曲线的焦点坐标
二、多选题 添加题型下试题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a84b7d30833b9fd965a4141a79ed4.png)
A.点![]() ![]() | B.圆![]() |
C.过点![]() ![]() | D.直线![]() ![]() |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a44342c2ee26a279265225982499b71.png)
A.C的离心率为2 | B.C的渐近线方程为![]() |
C.C的实轴长为2 | D.C的右焦点到渐近线的距离为![]() |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12fb4bf7200e3374561f9a61578f49c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e5d2ffa6701801ec9bd248b54f97559.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.曲线![]() ![]() ![]() |
B.曲线![]() |
C.设![]() ![]() ![]() ![]() ![]() |
D.曲线![]() ![]() ![]() |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd486b8796b3454eab219c28ed131683.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/d33558881906c228c262ff8024dcfc4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93b40fcb764d273996f5ee0b553a1ea5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a33a99190a8fd29c36d5a002e3197cc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d7f9f941778a83e4c38f872cc5ad1d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
三、填空题 添加题型下试题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e96914dcdb10c3f5eb24fa359e72d69.png)
【知识点】 由圆的位置关系确定参数或范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc58c62444bf42a25289c45425a00f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2ba2238d6afe0187534155dd9ac48c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c4cd264c97c1f261229925cc5a6761.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38b888061a711a9b737502c560b6f7ae.png)
【知识点】 抛物线中的三角形或四边形面积问题 根据韦达定理求参数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/11/eecf58cb-1b8c-41a6-afc5-5f44cb9edb72.png?resizew=135)
【知识点】 圆柱的结构特征辨析 求二面角 根据离心率求椭圆的标准方程
四、解答题 添加题型下试题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfaba0309c471a4246ca3254a3cdaf17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b714488457abc1d9d6bfda35dfea4f6.png)
(1)求线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)若点
![](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/283370824c087d15feb099be6bc475e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
【知识点】 直线的点斜式方程及辨析 求到两点距离相等的直线方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/369ad3bed780a85cd6fcbb1d682af042.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8639d274ec7416566696dd81f7beaebe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6f7b16d65f1b2b8bea8cf4a83fde925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c81b29ac8a01886b25dcef55c5f6877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/092fd1b1d33979818300cd2e3699bff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0a75c002da59c2ec5ef683ba618d973.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/29/0e4e86b4-6431-4cd5-b650-bfccbb1866e7.png?resizew=164)
(1)求上述交点的轨迹
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ade0c328cc3442c26e5bf33d9134c071.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4d781525777c7b5284dffc70b2a28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e10274381f2cfe52e79b99d9e98b804e.png)
(1)求过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bc59979afc2620b046822c643391168.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8701e0cce437edc830438b4fe6277d89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71340fef4f2efbaa367758dcb282f68f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21b013a7ba43aee510ce023c20dcf976.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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cd99c5000629d7f49499d666e68f40d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/182c81fb1c5e6d1a57a5f34a31ee69a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce79e66f7c668e987b4f538052067801.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f6479887f217e7ca2de0f8011d25709.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19cf594b6ba8044338c3a3d22e1e6998.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14680106fbf20eb00b632cedc4748f86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
在以上三个条件中任选一个,解答下列问题.
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852b303689c31189cd47bb4a3220f9fa.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/c5db41a1f31d6baee7c69990811edb9f.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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7785afeeaf274892253d04b4f693b367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae3e029070ad0d2ce680d5336ed7150a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a2cfa22139b3e9c9a73500e1ba19f52.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/0fa5d6092f598c7da4796f965e40525a.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
(1)求双曲线的离心率;
(2)已知过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.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/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1100379a4385b9ce064847bc21760adc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9909ded4aa86b799e374c53a11a3c09a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1100379a4385b9ce064847bc21760adc.png)
试卷分析
试卷题型(共 22题)
试卷难度
知识点分析
细目表分析 导出
题号 | 难度系数 | 详细知识点 | 备注 |
一、单选题 | |||
1 | 0.85 | 已知直线平行求参数 | |
2 | 0.94 | 求点到直线的距离 | |
3 | 0.94 | 根据抛物线方程求焦点或准线 | |
4 | 0.85 | 抛物线定义的理解 根据抛物线方程求焦点或准线 抛物线的焦半径公式 | |
5 | 0.85 | 判断命题的充分不必要条件 由直线与圆的位置关系求参数 | |
6 | 0.94 | 求椭圆的离心率或离心率的取值范围 | |
7 | 0.65 | 抛物线定义的理解 抛物线上的点到定点和焦点距离的和、差最值 根据抛物线方程求焦点或准线 与抛物线焦点弦有关的几何性质 | |
8 | 0.65 | 利用定义求双曲线中线段和、差的最值 求双曲线的焦点坐标 | |
二、多选题 | |||
9 | 0.85 | 由标准方程确定圆心和半径 点与圆的位置关系求参数 判断直线与圆的位置关系 过圆外一点的圆的切线方程 | |
10 | 0.85 | 求双曲线的实轴、虚轴 已知方程求双曲线的渐近线 求双曲线的离心率或离心率的取值范围 | |
11 | 0.65 | 求含sinx(型)函数的值域和最值 由方程研究曲线的性质 椭圆中焦点三角形的周长问题 | |
12 | 0.65 | 求椭圆的离心率或离心率的取值范围 求双曲线的离心率或离心率的取值范围 | |
三、填空题 | |||
13 | 0.94 | 直线的倾斜角 直线斜率的定义 | 单空题 |
14 | 0.65 | 由圆的位置关系确定参数或范围 | 单空题 |
15 | 0.85 | 抛物线中的三角形或四边形面积问题 根据韦达定理求参数 | 单空题 |
16 | 0.85 | 圆柱的结构特征辨析 求二面角 根据离心率求椭圆的标准方程 | 单空题 |
四、解答题 | |||
17 | 0.85 | 直线的点斜式方程及辨析 求到两点距离相等的直线方程 | 问答题 |
18 | 0.65 | 根据a、b、c求椭圆标准方程 根据离心率求椭圆的标准方程 根据弦长求参数 | 问答题 |
19 | 0.65 | 求抛物线的轨迹方程 抛物线中的三角形或四边形面积问题 点到直线的有向距离 | 问答题 |
20 | 0.65 | 直线的点斜式方程及辨析 求平面两点间的距离 定点到圆上点的最值(范围) 过圆外一点的圆的切线方程 | 问答题 |
21 | 0.4 | 根据椭圆过的点求标准方程 椭圆中三角形(四边形)的面积 求椭圆中的最值问题 | 问答题 |
22 | 0.15 | 求双曲线的离心率或离心率的取值范围 根据直线与双曲线的位置关系求参数或范围 | 问答题 |