1 . 已知双曲线
的实轴长为
,右焦点F到双曲线C的渐近线距离为1.
(1)求双曲线C的方程;
(2)点P在第一象限,
在直线
上,点
均在双曲线C上,且
轴,M在直线
上,
三点共线.从下面①②中选取一个作为条件,证明另外一个成立:①Q是
的中点;②直线
过定点
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a2cfa22139b3e9c9a73500e1ba19f52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
(1)求双曲线C的方程;
(2)点P在第一象限,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d585d2d6643471640905d234d9538c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01225eca2322a6136314dedadcafa994.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7ec40adf62bc48e014d76647f1eabce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84d454c82d9e52747563d47b68099249.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2834be81b26fcc80d4f4ae04845b612b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3627350f7d2ef1a7fb62343407719d4.png)
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名校
解题方法
2 . 已知双曲线
的左顶点为
,过左焦点
的直线与
交于
两点.当
轴时,
,
的面积为3.
(1)求
的方程;
(2)证明:以
为直径的圆经过定点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.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/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2784a52c4da98dc9df661fc152fc29e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b04a1eb775993e1127b636232f7ab4b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c499b1f470978c4f8cc05ffdebc2e961.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)证明:以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
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2023-02-13更新
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3024次组卷
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7卷引用:重庆市万州第二高级中学2023届高三下学期第一次质量检测数学试题
重庆市万州第二高级中学2023届高三下学期第一次质量检测数学试题江苏省南通市2023届高三下学期第一次调研测试数学试题江苏省泰州市2023届高三下学期第一次调研测试数学试题(已下线)模块十二 解析几何-1(已下线)专题九 平面解析几何-2专题20平面解析几何(解答题)(已下线)第3章 圆锥曲线的方程单元测试基础卷-2023-2024学年高二数学上学期人教A版(2019)选择性必修第一册
3 . 已知双曲线E:
(
,
)一个顶点为
,直线l过点
交双曲线右支于M,N两点,记
,
,
的面积分别为S,
,
.当l与x轴垂直时,
的值为
.
(1)求双曲线E的标准方程;
(2)若l交y轴于点P,
,
,求证:
为定值;
(3)在(2)的条件下,若
,当
时,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/681ab02a01fa41c784b688575fe90539.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b74110bc818c2f5a53d63451c5251eb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/436a2732e9c9d5ce401c448cd9de80e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5b72cb228a0747bf4b779cc337749a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d3a5255a0a61f4d297874ecd1967b01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b690956d61cb5a9f955a87093856eb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfc2628ebeec39f2ff82e216e780e3c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9cdbc51da77d74d60ef8e2878fa2dea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ac8a4086cd8af00e89c57fdfd905114.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd72016a9855cbf0056ff732fe872612.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ac8a4086cd8af00e89c57fdfd905114.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fa84eb397ffcbbf3a26d95e50f0e7db.png)
(1)求双曲线E的标准方程;
(2)若l交y轴于点P,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da8f34c9aba5a3834c8d2c76701366c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ccee36f0ebe053f4bd976b31aab0efa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff141a77e796894f84d0104f8f947e8a.png)
(3)在(2)的条件下,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/165e3984c374e63ff90022b333efa103.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76a11319d09d138b1ecc48692209ceec.png)
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2022-10-25更新
|
2089次组卷
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5卷引用:重庆市第八中学校2023届高三上学期高考适应性月考(二)数学试题
名校
解题方法
4 . 已知双曲线C过点
,
.
(1)求双曲线C的标准方程;
(2)已知
,过点
的直线l与双曲线C交于不同两点M、N,设直线AM、AN的斜率分别为
、
,求证:
为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7299b4b37b6f3cad06d3a29e9d276de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b6548e51196383e6270d64fb1d90ea9.png)
(1)求双曲线C的标准方程;
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e2518e7b8b5d030370382bd0bd8bff8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/321d3d9e48d28d7673bf36169702632f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b69e3f7ddd51215d00661c09cd900d60.png)
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2022-12-03更新
|
851次组卷
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4卷引用:重庆市2023届高三上学期期中数学试题
5 . 双曲线
的左、右顶点分别为
,
,过点
且垂直于
轴的直线
与该双曲线
交于点
,
,设直线
的斜率为
,直线
的斜率为
.
(1)求曲线
的方程;
(2)动点
,
在曲线
上,已知点
,直线
,
分别与
轴相交的两点关于原点对称,点
在直线
上,
,证明:存在定点
,使得
为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7f5d9add1a8ef4d5d520f9bcc568d42.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/269a51e0f77f63bae2df3dc8b1d4f455.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1642eec556eb252de9c1ab7bb5ca90b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2319a01218514917e446dfc807a625ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7219ba6e1a9dfe3f11dc3462be1a9fd.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)动点
![](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/e5de78b493bc2cc9696c584325c22ee7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c8ffe24cf9f327aeb241225ab15ab1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7555f635da615b09b7e2f08ddbeaf1db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eebe4d3c925e04eb4a5e0318143482fb.png)
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2022-11-25更新
|
967次组卷
|
5卷引用:重庆市万州第二高级中学2023届高三上学期12月月考数学试题
名校
解题方法
6 . 已知双曲线
的离心率是
,点
是双曲线
的一个焦点,且点
到双曲线
的一条渐近线的距离是2.
(1)求双曲线
的标准方程.
(2)设点
在直线
上,过点
作两条直线
,直线
与双曲线
交于
两点,直线
与双曲线
交于
两点.若直线
与直线
的倾斜角互补,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94376e3e25de7fa4e506d40446b22ffc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.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/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e1e4115d78e625e9e0f47cdade3286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1894fd7814a35aa2105d87fae1ffd883.png)
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2022-09-29更新
|
1129次组卷
|
5卷引用:重庆市2023届高三冲刺押题联考(二)数学试题
重庆市2023届高三冲刺押题联考(二)数学试题山西省忻州市2023届高三上学期第二次联考数学试题(已下线)专题29 弦长问题及长度和、差、商、积问题-2福建省福州市第四中学2023届高三上学期第三次月考数学试题(已下线)重难点突破06 弦长问题及长度和、差、商、积问题(七大题型)-1
名校
解题方法
7 . 平面直角坐标系xOy中,点
(-
,0),
(
,0),点M满足
,点M的轨迹为曲线C.
(1)求曲线C的方程;
(2)已知A(1,0),过点A的直线AP,AQ与曲线C分别交于点P和Q(点P和Q都异于点A),若满足AP⊥AQ,求证:直线PQ过定点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53d540ac4068591844c8cc38eb7f0a69.png)
(1)求曲线C的方程;
(2)已知A(1,0),过点A的直线AP,AQ与曲线C分别交于点P和Q(点P和Q都异于点A),若满足AP⊥AQ,求证:直线PQ过定点.
您最近一年使用:0次
2022-04-25更新
|
2405次组卷
|
5卷引用:重庆市缙云教育联盟2022届高三下学期第三次诊断性检测数学试题
重庆市缙云教育联盟2022届高三下学期第三次诊断性检测数学试题山东省青岛第二中学2021-2022学年高三上学期期末考试数学试题(已下线)专题18 圆锥曲线中的张角问题 微点3 圆锥曲线中的张角问题综合训练江西省抚州市黎川县第二中学2023-2024学年高三上学期期中检测数学试题3.2.1 双曲线的标准方程(同步练习基础版)
名校
解题方法
8 . 双曲线
与椭圆
的焦点相同,且渐近线方程为
,双曲线
的上下顶点分别为A,B.过椭圆
上顶点R的直线l与双曲线
交于点P,Q(P,Q不与A,B重合),记直线
的斜率为
,直线
的斜率为
.
(1)求双曲线
的方程;
(2)证明
为定值,并求出该定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97b103566a4645e48ee0671b4eacb1f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0a7ae9d8dba2d5fad2a260cb42457a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b6bb019e2d7c6d17d15ec4d9043f5e6.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/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf702adb116c1e46569eb7050d029f49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
(1)求双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67351fe10fcfc3f9072eec4c60bfaaa5.png)
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2022-04-12更新
|
653次组卷
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5卷引用:重庆市云阳江口中学校2022届高三上学期期末数学试题
重庆市云阳江口中学校2022届高三上学期期末数学试题江西省宜春市2022届高三4月模拟考试数学(理)试题(已下线)回归教材重难点04 圆锥曲线-【查漏补缺】2022年高考数学(理)三轮冲刺过关(已下线)必刷卷03(理)-2022年高考数学考前信息必刷卷(全国甲卷)江西省上饶市广丰区重点高中2022-2023学年高二上学期第一次月考数学试题
名校
9 . 设双曲线
,其虚轴长为
,且离心率为
.
(1)求双曲线
的方程;
(2)过点
的动直线与双曲线的左右两支曲线分别交于点
、
,在线段
上取点
使得
,证明:点
落在某一定直线上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
(1)求双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae104d6d67d114b588a5680b124b0e45.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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f0d804895f45751851595050bbac859.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
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2021-12-25更新
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2572次组卷
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7卷引用:重庆市缙云教育联盟2022届高三第一次诊断性检测数学试题
重庆市缙云教育联盟2022届高三第一次诊断性检测数学试题(已下线)专题22 圆锥曲线中的定点、定值、定直线问题 微点4 圆锥曲线中的定点、定值、定直线综合训练云南省开远市第一中学校2023届高三下学期6月月考数学试题福建省平和第一中学2021-2022学年高二12月质量检测数学试题湘教版(2019) 选修第一册 突围者 第3章 专项拓展训练3 与圆锥曲线有关的定点、定值、定直线问题双曲线的综合问题(已下线)第05讲 拓展二:直线与双曲线的位置关系(3)
名校
10 . 已知
为双曲线
的左、右焦点,过点
作垂直于
轴的直线,并在
轴上方交双曲线
于点
,且
.
(1)求双曲线
的方程;
(2)过圆
上任意一点
作圆
的切线
,交双曲线
于
两个不同的点,
的中点为
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/475a3fdc7b27d5ffa8c864dc478903d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/176569a223942b06f78d81633e2467b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab602e98726976d4f3549f8388daa3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab602e98726976d4f3549f8388daa3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8f460425b30df9e69c5c5a07cc97e56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49ec759a505244c8cfa6c280586159a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdb81ce45a5864b1cff5ca9bc4cf5349.png)
(1)求双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8f460425b30df9e69c5c5a07cc97e56.png)
(2)过圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7b4bcb812c997db47214cb52c905f99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2752e086b85f9fbb95010bf771072af9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b405aa932921379709cb82a48bd73b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e3817951bd48d8b8727dd124572c220.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8f460425b30df9e69c5c5a07cc97e56.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/f2804e72fa40c79696a0c04ed420aa8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2260415102415b12efe70f11719d73f.png)
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2021-09-07更新
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5卷引用:重庆市南开中学2022届高三上学期9月月中考试数学试题
重庆市南开中学2022届高三上学期9月月中考试数学试题浙江省2021届高三高考数学预测卷(三)(已下线)专题21 《圆锥曲线与方程》中的切线问题-2021-2022学年高二数学同步培优训练系列(苏教版2019选择性必修第一册) 第三章 圆锥曲线的方程单元检测卷(能力挑战卷)-【一堂好课】2021-2022学年高二数学上学期同步精品课堂(人教A版2019选择性必修第一册)江苏省连云港市灌南高级中学2021-2022学年高二普通班上学期10月月考数学试题