1 . 已知抛物线
上任意一点
处的切线方程可以表示为
.直线
、
、
分别与该抛物线相切于点
、
、
,
、
相交于点
,
与
、
分别相交于点
、
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ea1ce7588f88b39746159233be9cd82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee073e64c1c86a4c7c5ebede7b8a65c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34ce09ce9429c5fff7a8f6bb6226819d.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/c9fce9427c9b17e4d3cda0c3ff3e2e14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c663466d641b5fdfef1e529d6c330ecf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/166afeb61d5a80366a8ae29c912cd644.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d952ceef75040650edc38ce7695dc612.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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9fce9427c9b17e4d3cda0c3ff3e2e14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e5c154445ca71ee9d4fb29a98b8965d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
A.点![]() |
B.若直线![]() ![]() ![]() |
C.![]() |
D.![]() |
您最近一年使用:0次
2 . 已知点
,圆
,点
是圆
上的任意一点.动圆
过点
,且与
相切,点
的轨迹为曲线
.
(1)求曲线
的方程;
(2)若与
轴不垂直的直线
与曲线
交于
、
两点,点
为
与
轴的交点,且
,若在
轴上存在异于点
的一点
,使得
为定值,求点
的坐标;
(3)过点
的直线与曲线
交于
、
两点,且曲线
在
、
两点处的切线交于点
,证明:
在定直线上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8547f2b4e89b0ae1445bda02d46f0668.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/893f6f9256d7e91289d294479ec75c13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba53065eb180a682305fddb95d14b62f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
(2)若与
![](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/b94469fd19f40116e2dec334919d6586.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/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c4016c26d5178f242c01b881eb66950.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5ddcd912a431f2c6092ae492b7a0482.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
(3)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcbcd0aebdd8bd688d108834747009f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.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/4bcd8ee2d8367c167d6ae0abc741b6b8.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/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
您最近一年使用:0次
2023-12-21更新
|
277次组卷
|
4卷引用:山东省潍坊市2023-2024学年高二上学期普通高中学科素养能力测评数学试题
山东省潍坊市2023-2024学年高二上学期普通高中学科素养能力测评数学试题甘肃省白银市靖远县第四中学2023-2024学年高二下学期开学考试数学试题广东省惠州市第一中学2024届高三元月阶段测试数学试题(已下线)专题4 抛物线切线与阿基米德三角形【练】(压轴题大全)
解题方法
3 . 如图,正六边形ABCDEF的边长为4.已知双曲线
的焦点分别为A,D,两条渐近线分别为直线BE,CF.
的方程;
(2)过点A的直线l与
交于P,Q两点,
,若点M满足
,证明:点M在一条定直线上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
(2)过点A的直线l与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4850179a08e94f3e21fc9f0699f3860e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6e56e12c9e4563e1a71d2d3d60eeb09.png)
您最近一年使用:0次
2023-07-25更新
|
216次组卷
|
2卷引用:福建省福州市八县(市)协作校2022-2023学年高二下学期期末联考数学试题
4 . 已知O为坐标原点,M为抛物线C:
上一点,直线l:
与C交于A,B两点,过A,B作C的切线交于点P,则下列结论中正确结论的个数是( )
(1)
;(2)若点
,且直线AM与BM倾斜角互补,则
;
(3)点P在定直线
上;(4)设点
,则
的最小值为3.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0dff077f6ba5ad7fb0ad4fba02197fe.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7248b18dbf9094f935f7b4a8b557755.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69e94b292ecb3a289f73e3b892d463e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8a3cc8c48bf54ec8252e5dce6867754.png)
(3)点P在定直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba53065eb180a682305fddb95d14b62f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01e01e7ca03e2e7687d50c05cded9a90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/debc578b8121b06920648eadcec1563b.png)
A.1 | B.2 | C.3 | D.4 |
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5 . 已知抛物线
,过点
的两条直线
、
分别交
于
、
两点和
、
两点.当
的斜率为
时,
.
(1)求
的标准方程;
(2)设
为直线
与
的交点,证明:点
在定直线上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c42d88e496a17562d25195301e0ac2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a2a5e336b6bcba6354fd366c892dd06.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/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5064c1ee44b4f0ce61dbaedbffeedcb.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
您最近一年使用:0次
2023-05-30更新
|
1222次组卷
|
8卷引用:黑龙江省大庆市萨尔图区第二十三中学2022-2023学年高二下学期期末数学试题
黑龙江省大庆市萨尔图区第二十三中学2022-2023学年高二下学期期末数学试题(已下线)专题3.9 圆锥曲线中的定点、定值、定直线问题大题专项训练【九大题型】-2023-2024学年高二数学举一反三系列(人教A版2019选择性必修第一册)山东省实验中学2023届高三第二次模拟考试数学试题(已下线)考点17 解析几何中的定点与定直线问题 2024届高考数学考点总动员(已下线)通关练17 抛物线8考点精练(3)(已下线)高二上学期期末考点大通关真题精选100题(3)(已下线)重难点7-2 圆锥曲线综合应用(7题型+满分技巧+限时检测)(已下线)专题06 圆锥曲线大题
名校
6 . 过抛物线
内部一点
作任意两条直线
,如图所示,连接
延长交于点
,当
为焦点并且
时,四边形
面积的最小值为32
(1)求抛物线的方程;
(2)若点
,证明
在定直线上运动,并求出定直线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8516f71467b419293fa27df70bdaed74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82aaa597a5aa6176863eda3fdf83e181.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c4cd264c97c1f261229925cc5a6761.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73b3c032441543354c154ee67d744abb.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/a77e3c1c236141d6118429fade0a9b9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c593ebdb2f1934a0cb56f8c44f454f8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/29/e55104bc-b773-4abd-913e-0c2433ca5026.png?resizew=170)
(1)求抛物线的方程;
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3c9708ef0dc6d6f5dcf6596d3e4f6e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
您最近一年使用:0次
2023-05-27更新
|
969次组卷
|
7卷引用:专题3.7 直线与抛物线的位置关系【八大题型】-2023-2024学年高二数学举一反三系列(人教A版2019选择性必修第一册)
(已下线)专题3.7 直线与抛物线的位置关系【八大题型】-2023-2024学年高二数学举一反三系列(人教A版2019选择性必修第一册)(已下线)高二上学期期中复习【第三章 圆锥曲线的方程】十二大题型归纳(拔尖篇)-2023-2024学年高二数学举一反三系列(人教A版2019选择性必修第一册)(已下线)第三章 圆锥曲线的方程(知识归纳+题型突破)-2023-2024学年高二数学单元速记·巧练(人教A版2019选择性必修第一册)湖北省襄阳市第四中学2023届高三下学期高考适应性考试数学试题(已下线)考点17 解析几何中的定点与定直线问题 2024届高考数学考点总动员(已下线)通关练17 抛物线8考点精练(3)(已下线)专题08 圆锥曲线 第二讲 圆锥曲线中的定点、定直线与定值问题(解密讲义)
名校
解题方法
7 . 已知直线
与抛物线C:
交于A,B两点,分别过A,B两点作C的切线,两条切线的交点为
.
(1)证明点D在一条定直线上;
(2)过点D作y轴的平行线交C于点E,线段
的中点为
,
①证明:
为
的中点;
②求
面积的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6767830cc1811f0f4ea5a008fdc7e723.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/088fcdd595455906a1a7080d630611f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
(1)证明点D在一条定直线上;
(2)过点D作y轴的平行线交C于点E,线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
①证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fd17a66a2af938c89e46f22e4d893b1.png)
②求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
您最近一年使用:0次
8 . 已知直线
与抛物线C:
交于A,B两点,分别过A,B两点作C的切线,两条切线的交点为D.
(1)证明点D在一条定直线上;
(2)过点D作y轴的平行线交C于点E,求
面积的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6767830cc1811f0f4ea5a008fdc7e723.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/088fcdd595455906a1a7080d630611f5.png)
(1)证明点D在一条定直线上;
(2)过点D作y轴的平行线交C于点E,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
您最近一年使用:0次
2023-04-25更新
|
347次组卷
|
3卷引用:广东省汕头市潮阳一中明光学校2022-2023学年高二下学期期中数学试题
广东省汕头市潮阳一中明光学校2022-2023学年高二下学期期中数学试题(已下线)3.3.2 抛物线的简单几何性质(6大题型)精讲-【题型分类归纳】2023-2024学年高二数学同步讲与练(人教A版2019选择性必修第一册)贵州省凯里市第一中学2023届高三三模数学(理)试题
解题方法
9 . 已知抛物线
:
的焦点为
,直线
交抛物线于
两点(
异于坐标原点
),交
轴于点
(
),且
,直线
,且与抛物线相切于点
.
(1)求证:
三点共线;
(2)过点
作该抛物线的切线
(点
为切点),
交
于点
.
(ⅰ)试问,点
是否在定直线上,若在,请求出该直线,若不在,请说明理由;
(ⅱ)求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42102c1c07562853219ca5918803a27.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/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/537617e8d64bf7e88f35bfbd8b2cf846.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/544530e1133b2924ccfbe691141a5641.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ad562cf1121289af8cca9820027946b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa6606c98ccdc5faef9ffa4b0f56b1b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf2abcaa76f901eec276edd7c610f9fd.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
(ⅰ)试问,点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
(ⅱ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb4cfa648f36aa112901dc938eb74a3f.png)
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2023-01-12更新
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1228次组卷
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6卷引用:专题3.9 圆锥曲线中的定点、定值、定直线问题大题专项训练【九大题型】-2023-2024学年高二数学举一反三系列(人教A版2019选择性必修第一册)
(已下线)专题3.9 圆锥曲线中的定点、定值、定直线问题大题专项训练【九大题型】-2023-2024学年高二数学举一反三系列(人教A版2019选择性必修第一册)湖北省部分重点中学2023届高三上学期1月第二次联考数学试题山东省安丘市青云学府2023届高三下学期一模数学试题(已下线)大题强化训练(3)专题20平面解析几何(解答题)湖北省恩施州高中教育联盟2023届高三上学期期末数学试题
解题方法
10 . 已知抛物线C:
的焦点为F,过点P(2,0)作直线
交抛物线于A,B两点.
(1)若
的倾斜角为
,求△FAB的面积;
(2)过点A,B分别作抛物线C的两条切线
,
且直线
与直线
相交于点M,问:点M是否在某定直线上?若在,求该定直线的方程,若不在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
(2)过点A,B分别作抛物线C的两条切线
![](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/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
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