名校
1 . 在平面直角坐标系中,若
,
,且
.
(Ⅰ)求动点
的轨迹
的方程;
(Ⅱ)设(Ⅰ)中曲线
的左、右顶点分别为
、
,过点
的直线
与曲线
交于两点
,
(不与
,
重合).若直线
与直线
相交于点
,试判断点
,
,
是否共线,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d908933bae3fc4d3525f1a6415abec25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dae0cdb2b8fa89d3bc8efa73501ff31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/466b8d54c992f259df34b5d6de1c2760.png)
(Ⅰ)求动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45ff7e0ef1f622120cc1b18e9d3e80ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(Ⅱ)设(Ⅰ)中曲线
![](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/53a948d2f7732d7f03e986c63712089b.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/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/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
您最近一年使用:0次
2019-05-12更新
|
1521次组卷
|
4卷引用:2020届江西省宜春市丰城九中高三上学期月考数学(文)试题
名校
2 . 已知椭圆
的离心率为
,以原点为圆心,椭圆的短半轴为长为半径的圆与直线
相切,过点
的直线
与椭圆
相交于
两点.
(1)求椭圆
的方程;
(2)若原点
在以线段
为直径的圆内,求直线
的斜率
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d38f9106cef0b638e62c90afc1c523cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af74113f38fffeed8075e57d7f9d2533.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)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若原点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2019-05-09更新
|
1350次组卷
|
9卷引用:2019年四川省成都市双流区双流中学高三9月月考数学(理)试题
名校
解题方法
3 . 在平面直角坐标系
中,设椭圆
的左焦点为
,左准线为
为椭圆
上任意一点,直线
,垂足为
,直线
与
交于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/19/392f287c-4611-42ca-8151-a4af049e9541.png?resizew=201)
(1)若
,且
,直线
的方程为
.①求椭圆
的方程;②是否存在点
,使得
?若存在,求出点
的坐标;若不存在,说明理由.
(2)设直线
与圆
交于
两点,求证:直线
均与圆
相切.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89ea803e31d2dedcf0590e0a0475e7ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f7b57a209fbac206ddc5b6a5648488b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f0009063fe00277645aff1be6e32471.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/19/392f287c-4611-42ca-8151-a4af049e9541.png?resizew=201)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d70009d48ea5ed5e20cc5eff3d557e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0997aef37c85b3b959a948673bf65490.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/b4a14b8101715f591bc29720233eba8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c2293f93791a597bf0162411f3395f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8af0e61464dff86033fa54bb4ab3a77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d42cb68c5c877a455ba7ac0a6b6a651.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
您最近一年使用:0次
名校
解题方法
4 . 已知
分别是椭圆
的左右焦点.
(Ⅰ)若
是第一象限内该椭圆上的一点,
,求点
的坐标.
(Ⅱ)若直线
与圆
相切,交椭圆
于
两点,是否存在这样的直线
,使得
?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb4402aeb853b22f20992156957ef0fd.png)
(Ⅰ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a49003aa29ceb052fb145943237e5de0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(Ⅱ)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ffce41d1a299a180aaccab99f6598a1.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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3825ccc273ef9a672a606432d165b866.png)
您最近一年使用:0次
2019-04-29更新
|
576次组卷
|
4卷引用:陕西省西安地区陕师大附中、西安高级中学等八校2018-2019学年高三下学期4月联考数学(文)试题
名校
解题方法
5 . 已知点
在椭圆
上,
,
是长轴的两个端点,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/3/469eff38-2791-4409-90fd-fd39467946de.png?resizew=197)
(Ⅰ)求椭圆
的标准方程;
(Ⅱ)已知点
,过点
的直线
与椭圆的另一个交点为
,若点
总在以
为直径的圆内,求直线
的斜率的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85d23fc512ad69a2d5919ce690407704.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.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/c567d5e8b666bee297232fd5abd268ec.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/3/469eff38-2791-4409-90fd-fd39467946de.png?resizew=197)
(Ⅰ)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(Ⅱ)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33a62c9695f5a1691c5fe8724fa764b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85d23fc512ad69a2d5919ce690407704.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2019-04-22更新
|
1794次组卷
|
5卷引用:内蒙古集宁一中2018-2019学年高二6月月考数学(理)试题
内蒙古集宁一中2018-2019学年高二6月月考数学(理)试题江西省红色七校2019-2020学年高三第一次联考数学(文)试题【市级联考】辽宁省抚顺市2019届高三第一次模拟考试数学(文)试题【市级联考】辽宁省抚顺市2019届高三第一次模拟考试数学(理)试题(已下线)第46讲 范围、最值、定点、定值及探索性问题(讲) — 2022年高考数学一轮复习讲练测(课标全国版)
名校
6 . 已知椭圆
的方程为
,
是椭圆上的一点,且
在第一象限内,过
且斜率等于-1的直线与椭圆
交于另一点
,点
关于原点的对称点为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/20/ad288b2f-52ce-4396-b28b-3948280f91d5.png?resizew=209)
(1)证明:直线
的斜率为定值;
(2)求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d80b861ba40387cb2bcd04945f5a371a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/8455657dde27aabe6adb7b188e031c11.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/20/ad288b2f-52ce-4396-b28b-3948280f91d5.png?resizew=209)
(1)证明:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db5e1441a49e782ff0ef46e776cde06a.png)
您最近一年使用:0次
2019-04-19更新
|
838次组卷
|
4卷引用:四川省泸州市泸县第四中学2020届高三下学期第一次在线月考数学(理)试题
名校
7 . 已知椭圆
的中心在原点,左焦点
、右焦点
都在
轴上,点
是椭圆
上的动点,
的面积的最大值为
,在
轴上方使
成立的点
只有一个.
(1)求椭圆
的方程;
(2)过点
的两直线
,
分别与椭圆
交于点
,
和点
,
,且
,比较
与
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3d9f92759e99ee8d17c59553517a0ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afe9d0de100807f8aae1eb4bde248ba9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc6554ac3dff4a59833e407db887f6e6.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/2a30f3a8b673cc28bd90c50cf1a35281.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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ce08b357f11ef44c3e8207ac574422a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a0a31c1d38b45f0e14c11dadd194db7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be6879dfefe447ad0af30649917912c.png)
您最近一年使用:0次
2019-04-13更新
|
1022次组卷
|
12卷引用:四川省内江市第六中学2021届高三第七次月考文科数学试题
四川省内江市第六中学2021届高三第七次月考文科数学试题山西省太原市第五中学校2022届高三下学期5月阶段性检测数学(文)试题【省级联考】云南省2019届高三第一次复习统一检测文科数学试题【省级联考】云南省2019届高三第一次高中毕业生复习统一检测理科数学试题四川省泸州市泸县第五中学2020届高三下学期第二次高考适应性考试数学(文)试题四川省泸州市泸县第五中学2020届高三下学期第二次高考适应性考试数学(理)试题四川省泸州市泸县第五中学2022届高三二诊模拟考试数学(文)试题四川省泸州市泸县第五中学2022届高三二诊模拟考试数学(理)试题四川省遂宁市绿然国际学校2022届高考数学(文科)二诊模拟试题四川省宜宾市叙州区第一中学校2022-2023学年高三上学期期末考试数学(理)试题四川省宜宾市叙州区第一中学校2022-2023学年高三上学期期末考试数学(文)试题(已下线)第五篇 向量与几何 专题6 调和线束 微点4 调和线束综合训练
名校
8 . 已知椭圆
的右焦点为
,过点
且垂直于
轴的直线与椭圆相交所得的弦长为
.
求椭圆
的方程;
过椭圆内一点
,斜率为
的直线
交椭圆于
两点,设直线
(
为坐标原点)的斜率分别为
,若对任意
,存在实数
,使得
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62d314b47d37c9f58e05ad11f3e68e27.png)
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您最近一年使用:0次
2019-04-02更新
|
1355次组卷
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6卷引用:四川省眉山市2019-020学年高三第二次诊断性考试数学(理)试题
四川省眉山市2019-020学年高三第二次诊断性考试数学(理)试题广东省深圳市罗湖外语学校2020届高三下学期3月月考数学(理)试题【市级联考】四川省内江、眉山等六市2019届高三第二次诊断性考试数学(理)试题【全国百强校】黑龙江省鹤岗市第一中学2018-2019学年高二下学期期中考试数学(文)试题(已下线)专题02 化繁为简,轻松驾驭解析几何运算有技巧(第五篇)-2020高考数学压轴题命题区间探究与突破(已下线)专题13 解析几何中的范围、最值和探索性问题 第一篇 热点、难点突破篇(练)-2021年高考数学二轮复习讲练测(浙江专用)
名校
解题方法
9 . 已知椭圆C:
的离心率为
,长轴长为
.
Ⅰ
求椭圆C的方程;
Ⅱ
斜率为1的直线l过椭圆C的右焦点F,交椭圆C于A,B两点,设M为椭圆C上任意一点,且
,其中O为原点
求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00df4f17848c072b51e80d427d486e31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86fc860cece09bffcc2593dc7b11aee8.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bbb391bcb279073a82e886896e47eea.png)
您最近一年使用:0次
2019-03-08更新
|
1407次组卷
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3卷引用:2019届北京市一零一中学高三下学期月考(三)数学(理)试题
名校
10 . 已知点O为坐标原点,椭圆C:
(a>b>0)的左、右焦点分别为F1,F2,离心率为
,点I,J分别是椭圆C的右顶点、上顶点,△IOJ的边IJ上的中线长为
.
(1)求椭圆C的标准方程;
(2)过点H(-2,0)的直线交椭圆C于A,B两点,若AF1⊥BF1,求直线AB的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
(1)求椭圆C的标准方程;
(2)过点H(-2,0)的直线交椭圆C于A,B两点,若AF1⊥BF1,求直线AB的方程.
您最近一年使用:0次
2019-02-17更新
|
1491次组卷
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10卷引用:山西省长治市第二中学校2018-2019学年高二下学期第二次月考数学(理)试题
山西省长治市第二中学校2018-2019学年高二下学期第二次月考数学(理)试题河南省商丘周口等市部分学校2019-2020学年高二3月在线公益联考文数学试题河南省商丘周口等市部分学校2019-2020学年高二3月在线公益联考理科数学试题四川省内江市威远中学2020届高三5月月考数学(文)试题江苏省扬州市江都区大桥高级中学2020届高三下学期学情调研(二)数学试题【校级联考】河南省九师联盟2019届高三1月质量检测文科数学试题【校级联考】河南省九师联盟2019届高三1月质量检测理科数学试题2020届江苏省南通市高三下学期3月开学考试数学试题(已下线)秒杀题型07 圆锥曲线中的直角弦-2020年高考数学试题调研之秒杀圆锥曲线压轴题宁夏吴忠市2022届高三一轮联考数学(文)试题