1 . 已知直线
与椭圆
有且只有一个公共点.
的方程;
(2)是否存在实数
,使椭圆
上存在不同两点
、
关于直线
对称?若存在,求
的取值范围;若不存在,请说明理由;
(3)椭圆
的内接四边形
的对角线
与
垂直相交于椭圆的左焦点,
是四边形
的面积,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9213827b4a732bf7b8f92d4fa3c0e502.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54976e19a9f87dfdd3b1c0eccac18aa7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.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/ecf226a0e9621cd10eb03edfc7e4f332.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
(3)椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
您最近一年使用:0次
2023-11-14更新
|
520次组卷
|
4卷引用:上海市复旦大学附属中学2023-2024学年高二上学期期中数学试题
上海市复旦大学附属中学2023-2024学年高二上学期期中数学试题上海市大同中学2023-2024学年高二下学期期中考试数学试卷(已下线)专题11圆锥曲线单元复习与测试(21个考点25种题型)-【寒假自学课】2024年高二数学寒假提升学与练(沪教版2020)(已下线)微考点6-2 圆锥曲线中的弦长面积类问题
解题方法
2 . (1)求满足焦点坐标分别为
,经过点
的椭圆方程.
(2)直线
经过定点
,点
在直线
上,且
,当直线
绕着点
转动时,求点
的轨迹方程;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b48c6c9aeafb2bcf70a3be664cdd4004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed1a65d88f9823d49da8f3b96ea9ec6f.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c41b2f7ca11db3aaea46c69286adbce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbf76b59dd1a174b4eeec1c37c2095cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
您最近一年使用:0次
名校
3 . 已知定义在
上的函数
,其导函数为
,记集合
为函数
所有的切线所构成的集合,集合
为集合
中所有与函数
有且仅有
个公共点的切线所构成的集合,其中
,
.
(1)若
,判断集合
和
的包含关系,并说明理由:
(2)若
(
),求集合
中的元素个数:
(3)若
,证明:对任意
,
,
为无穷集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e167b43045b3297248e334c41c621b8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd4613271f782a90ab580131d09d03d1.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b1c079afd1b058adc67a50f48f3d466.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e290a420338f17160641e7d081a868f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1044dcf4fba551e1b7fbfeb895ea08c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e167b43045b3297248e334c41c621b8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd4613271f782a90ab580131d09d03d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/925be8927ea9b4f42bf9519eb8c55405.png)
您最近一年使用:0次
2023-11-14更新
|
417次组卷
|
2卷引用:上海市建平中学2024届高三上学期期中数学试题
名校
解题方法
4 . 已知点
到直线
:
的距离和它到定点
的距离之比为常数
.
(1)求点
的轨迹
的方程;
(2)若点
是直线
上一点,过
作曲线
的两条切线分别切于点
与点
,试求三角形
面积的最小值.(二次曲线
在其上一点
处的切线为
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/092fd1b1d33979818300cd2e3699bff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.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/1e582d73b96ba649378379c3074d506d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c177620d3032bcfce1602ae62a55193e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2752e086b85f9fbb95010bf771072af9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62c7e7293ad84c8597cf99ea7336004f.png)
您最近一年使用:0次
2023-11-13更新
|
502次组卷
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2卷引用:浙江省嘉兴市八校联盟2023-2024学年高二上学期期中联考数学试题
5 . 已知过点
的直线交
于
两点,
,直线
交直线
于点
,且
.记点
的轨迹为
.
(1)求
的方程;
(2)设
与
交于点
,若
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/760bb4b1dbcd14bebd12c219520597f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51361b9eac829806ad41a101004a7c80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0da2af48fc4ad16edc5070ddea600614.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/167d31eb8432b5c0364316e5048c23dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14123eb228bceaf992d92efc4dedbd25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/3/de4207f6-914b-4edd-9d43-da8441a87386.png?resizew=151)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0472f13fca8d4a79cfe87547d76431c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
您最近一年使用:0次
2023-11-11更新
|
380次组卷
|
2卷引用:山西省大同市2023-2024学年高二上学期11月期中数学试题
解题方法
6 . 已知曲线
上的点
满足
.
(1)化简曲线
的方程;
(2)已知点
,点
,过点
的直线
(
斜率存在)与椭圆
交于不同的两点
,直线
与
轴的交点分别为
,证明:
三点在同一圆上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee82283f06cedef32eb15b87964f5d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bb3f5bdec70ed78442c756205c791e8.png)
(1)化简曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0929421a6188c3122442866b0b85a5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/195be24b54d5c7cad434777b15899179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f28491f7ef64389d62b0e1574ab56429.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.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/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d42cb68c5c877a455ba7ac0a6b6a651.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad19bf750b626e430e45fe7eadf4e23f.png)
您最近一年使用:0次
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解题方法
7 . 福州某公园有一个半圆形荷花池(如图所示),为了让游客深入花丛中体验荷花美景,公园管理处计划在半圆形荷花池中设计栈道观景台
和栈道
、
、
、
,观景台
在半圆形的中轴线
上(如图,
与直径
垂直,
与
不重合),通过栈道把荷花池连接起来,使人行其中有置身花海之感.已知
米,
,栈道总长度为
.
关于
的函数关系式.
(2)若栈道的造价为每米
千元,问:栈道
长度是多少时,栈道的建设费用最小?并求出该最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed62d4cb2496a57ea1de1d12300b71e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89e5463fa46b911865fc2aa92387a0d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/513cb0e220a0fed33454151e303bcbe7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(2)若栈道的造价为每米
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
您最近一年使用:0次
2023-11-10更新
|
520次组卷
|
9卷引用:福建省福州第一中学2024届高三上学期第一学段期中考试数学试题
福建省福州第一中学2024届高三上学期第一学段期中考试数学试题(已下线)模块一 专题3 导数在研究函数极值和最值中的应用(讲)(已下线)模块三 专题2 解答题分类练 专题5 三角函数与平面向量的实际应用(解答题)(北师大版高一期中)(已下线)模块一 专题3 《导数在研究函数极值和最值中的应用》(苏教版)(已下线)模块一 专题5 导数在研究函数性质中的应用(2)【高二下人教B版】(已下线)模块三 专题2 解答题分类练 专题4 导数在研究函数性质的应用【高二人教B】(已下线)第04讲 导数在研究函数中的应用-【寒假预科讲义】2024年高二数学寒假精品课(人教A版2019)(已下线)5.3.2课时3导数在解决实际问题中的应用 第二练 强化考点训练江苏省无锡市江阴长泾中学2023-2024学年高二下学期3月阶段性检测数学试卷
名校
解题方法
8 . 已知A是直线
和曲线
的一个公共点.
(1)若直线
与曲线
相切于点A,求
的值;
(2)设点A的横坐标为
,当
在区间
上变化时,求
的最大值;
(3)若直线
与曲线
另有一个不同于A的公共点
,求证:线段
中点的纵坐标大于1.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3016baf1a9ce777f16ea9ce469b2510.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e9136761fe20df42369e5bf110229e9.png)
(1)若直线
![](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/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)设点A的横坐标为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94beb083d48ef4a8e0556dc1e2339c7b.png)
(3)若直线
![](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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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9 . 已知椭圆E的方程为
,
与
是E的左右两个焦点,
是E的下顶点.
(1)设斜率为1的直线l过点
,且与E交于M,N两点,求弦
的长;
(2)若E上一点P满足
,求三角形
的面积;
(3)设椭圆上一点
,求证:射线
平分
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8ab5ed3dd54f42da747b01afdb7b031.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/7e10de2c38bc918ae9e1ce62a5c70099.png)
(1)设斜率为1的直线l过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
(2)若E上一点P满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1aaeb8b71e4552c1ce740f5497bd13f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c680749eda007641fdaa9f9fdc103700.png)
(3)设椭圆上一点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2110da40af010a6c7d69b661ca4f8ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bf25e032b5599ac49383de06e776365.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8865ce43941563e187aa89e7ff2372c.png)
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名校
解题方法
10 . 已知F为抛物线C的焦点,过F的直线
交C于A,B两点,点D在C上,使得
的重心G在x轴的正半轴上,直线
,
分别交
轴于Q,P两点.O为坐标原点,当
时,
.
(1)求C的标准方程.
(2)记P,G,Q的横坐标分别为
,
,
,判断
是否为定值.若是,求出该定值;若不是,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4ebf992b3322f2d8b2ee986f67a6af6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
(1)求C的标准方程.
(2)记P,G,Q的横坐标分别为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2297930d54a0452220d963bfef6a616a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c01080a37368247d111980a599ec40f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c15a90db6dfd1aab79a3728748cc6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08e82c2aafbfeffc2d952aead8d16382.png)
您最近一年使用:0次
2023-11-10更新
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737次组卷
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5卷引用:江西省赣州市十八县二十三校2023-2024学年高二上学期期中联考数学试题
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