名校
解题方法
1 . 对于给定的区间
,如果存在一个正的常数
,使得
都有
,且
对
恒成立,那么称函数
为
上的“
成功函数”.已知函数
,若函数
是
上的“4成功函数”,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc1da2db85b44ae9ced8c09cd19593e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25083b9086a1ed3432a2fc9c1b15619f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3469292e7aea6a50ced42cddce157b6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc1da2db85b44ae9ced8c09cd19593e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/691e1b95237bd609dfd15759a9206bde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/768792e2684dca75cc78d46c07c25668.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7334919736e5ed881f691e4ca738b4ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024-03-01更新
|
328次组卷
|
8卷引用:第4章 指数函数、对数函数与幂函数-【优化数学】单元测试能力卷(人教B版2019)
(已下线)第4章 指数函数、对数函数与幂函数-【优化数学】单元测试能力卷(人教B版2019)重庆市南开中学校2022-2023学年高一上学期期末数学试题江苏省射阳中学2022-2023学年高一上学期期末数学试题辽宁省沈阳市第一二〇中学2023-2024学年高三上学期第一次质量监测数学试题(已下线)高一上学期期末考试填空题压轴题50题专练-举一反三系列重庆市万州第二高级中学2023-2024学年高一下学期开学考试数学试题黑龙江省哈尔滨师范大学附属中学2023-2024学年高一下学期开学考试数学试卷(已下线)专题11 不等式恒成立、能成立、恰好成立问题(过关集训)
解题方法
2 . 若一动圆
同时与圆
和圆
相内切.
(1)求动圆圆心
的轨迹方程;
(2)记动圆圆心
的轨迹为
,圆
16上任一点
处的切线l交
于P,Q两点.某研究小组发现:在x轴上存在唯一点![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
,使
的周长为定值.此小组的结论对吗?请给出理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0dc3f0df9773b8eb211a18501917fef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f647dfa9f351bfff70f5a6605515893.png)
(1)求动圆圆心
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)记动圆圆心
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34467523acbd88a876eca784fe2b77d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5fca5749416511b79cb1d40eebb07c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/259109cc9ca4eb140fb92937cb0bfbf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a138fefcb02cc063b48967c0fc9d28f8.png)
您最近一年使用:0次
名校
解题方法
3 . 若函数
为定义域
上单调函数,且存在区间
(其中
),使得当
时,
的取值范围恰为
,则称函数
是D上的正函数,区间
叫做等域区间.
(1)是否存在实数m,使得函数
是
上的正函数?若存在,请求出实数m的取值范围;若不存在,请说明理由.
(2)若
,且不等式
的解集恰为
,求函数
的解析式.并判断
是否为函数
的等域区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d0195f699765021e2c6ea985e487971.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a46e678bf9d2df5ad4c782b3dc22f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e207cf62e3a7e282eac4c4a3455bbf9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
(1)是否存在实数m,使得函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eff0bea1f5a5fb07e1b75796fd9966b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad2edd8edcb21bd41584daf9bb95a5c7.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/574e5f7e33a62cf3d3df853742374a0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98d6042155c8df794673e780cfd420ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c5b6b8572945a8ac7db96a26d5e8311.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
您最近一年使用:0次
2023-09-07更新
|
713次组卷
|
3卷引用:第三章 函数的概念与性质-【优化数学】单元测试能力卷(人教A版2019)
(已下线)第三章 函数的概念与性质-【优化数学】单元测试能力卷(人教A版2019)江苏省南通市海安高级中学2023-2024学年高三上学期阶段测试(一)数学试题山东师范大学附属中学幸福柳分校2023-2024学年高一上学期期中考试数学试题
4 . 已知椭圆![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca2c2c7a8f822a339a40fb724c3be2b1.png)
(1)椭圆
的左右顶点分别为
,点
为椭圆上异于
的任意一点.证明:直线
与直线
的斜率乘积为定值;
(2)过点
的动直线
交椭圆
于
两点,在
轴上是否存在定点
,使以
为直径的圆恒过这个点?若存在,求出点
的坐标,若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca2c2c7a8f822a339a40fb724c3be2b1.png)
(1)椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c8ffe24cf9f327aeb241225ab15ab1a.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6971a4aa620bad9782558effa68f010f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
您最近一年使用:0次
名校
解题方法
5 . 已知函数
(
、
),
.
(1)设
的解集为A,
解集为
,若
,求实数
的取值范围;
(2)已知函数
的图象关于点
对称,当
时,
,若对任意的
,总存在
,使得
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d63aaa178677e179fd17fb87877ccb38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d285a4c557fc9748105b62ccd94b7859.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c174a494bd5543e276f7813df78197.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc9ede2e55724383dd1093fc7fcdb59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df128531a4c909d0d60b4f472da55fa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79d02e5de0c92487382f4b98376e9740.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c832f2474efe89961ef41e884da7660c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1376168658dbe7f5b7f4d75fb1db545a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee0cfceb10b2ff10bf43b56485d67b23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48fa5cb4b09c5042827e90f5b2071665.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0391e39aaeb4e3cc883b0439d7f69d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b56a0bc723618e7cdac994882c807bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
解题方法
6 . 已知抛物线
的焦点为
,准线为
.
(1)若
为双曲线
的一个焦点,求双曲线
的方程;
(2)设
与
轴的交点为
,点
在第一象限,且在
上,若
,求直线
的方程;
(3)经过点
且斜率为
的直线
与
相交于
、
两点,
为坐标原点,直线
、
分别与
相交于点
、
.试探究:以线段
为直径的圆
是否过定点,若是,求出定点的坐标;若不是,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75d41bd21b19b7e1ba41d904104a9229.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6862886e9d7443014485693f3d97f57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设
![](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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a76af4a094edcdc6bd9900f26481372.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f541f7ae7c39082d202efd28805c54e.png)
(3)经过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2799abb64fd7bfce9dfa7228aa460564.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13dea1bd3d0dd84b8b6f6ff634c5600c.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/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.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/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
名校
7 . 已知集合
且
,
是定义在
上的一系列函数,满足
.
(1)求
的解析式.
(2)若
为定义在
上的函数,且
.
①求
的解析式;
②若关于
的方程
有且仅有一个实根,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/755b680439164ef0d05c2fcf1a021dc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad1b25d5e0b16a6d3e305f852b2ef8a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0ef1feb87a1e4f5ab1970d0b84d869b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5813bbf76bf6048e858b5bbb17e1ec9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b87ef0ed87ae71055f9b0beec5b032e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b020f0de733d3d6b468a9967f56960ad.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
②若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/496e8a69f9722008da27aa500e3809eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2023-09-30更新
|
496次组卷
|
4卷引用:第4章 指数函数、对数函数与幂函数-【优化数学】单元测试能力卷(人教B版2019)
(已下线)第4章 指数函数、对数函数与幂函数-【优化数学】单元测试能力卷(人教B版2019)广东省广州市第六中学2023-2024学年高一上学期期中考试数学试题江西省宁冈中学2022-2023学年高三上学期期中考试数学(理科)试题湖北省新高考联考协作体2023-2024学年高一下学期5月联考数学试题
解题方法
8 . 已知定义在R上的函数
满足:
为奇函数,
,且对任意
,都有
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870968d882ce3dda098f58a67c8563c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddcba9234b3f3aeb8a00dcb5f915be3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e3c99ca3d73d87d3fdbef88c859dd6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07e2d50bd324256177aee3c04bf55a1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c64dba78d6ea1dfc620aaebac9b76a5f.png)
A.![]() | B.![]() | C.![]() | D.1 |
您最近一年使用:0次
名校
解题方法
9 . 在
中,角A、B、C所对的边分别为a、b、c,且
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c37677dd1a224d6fa41bfb59cd315805.png)
A.若![]() ![]() ![]() |
B.若![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
2023-09-02更新
|
2075次组卷
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16卷引用:第11章《解三角形》单元达标高分突破必刷卷(培优版)
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名校
10 . 已知初始光线
从点
出发,交替经直线
与
轴发生一系列镜面反射,设
(
不为原点)为该束光线在两直线上第
次的反射点,
为第
次反射后光线所在的直线
(1)若初始光线
在
轴上,求最后一条反射光线的方程;
(2)当斜率为
的反射光线
经直线
反射后,得到斜率为
的反射光线
时,试探求两条光线的斜率
之间的关系,并说明理由;
(3)是否存在初始光线
,使其反射点集
中有无穷多个元素?若存在,求出所有
的方程;若不存在,求出点集
元素个数
的最大值,以及使得
取到最大值时所有第一个反射点
的轨迹方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c34517f479fb08f6096d2fb0362f3ad0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f13bf66fc845b115de4ec45b4be0e23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c037b199f33cbed1efcffdd2376d8c10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e819b87f90651d89fcd258c276294e43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ca6287501a3d79aefd845164d5202ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6ff0c35b59d76cda6ae82cd55095b0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
(1)若初始光线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3808db4b57d3157c3fba1946f03a5bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)当斜率为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa09d646d1c245d94e3edefbcbf9808.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c7c5e7bd6bac51402ffa04b4144ec78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c037b199f33cbed1efcffdd2376d8c10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86e65ba4223047a29f91513493ee30eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29a5b0f908cdae073db61be5b42fbcf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/048c3f3c6eec78ad16fc9e87c80444ba.png)
(3)是否存在初始光线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c34517f479fb08f6096d2fb0362f3ad0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6469859fe1d1262dd32212fe251b8593.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c34517f479fb08f6096d2fb0362f3ad0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6469859fe1d1262dd32212fe251b8593.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
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