解题方法
1 . 已知函数
是
上的奇函数,且过点
,对于一切正实数
,都有
. 当
时,
恒成立,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0d54423c3e960b9ce8e9303f4a4ad3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff44456e5e1d5cc91392aa3901e0ae3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53e036700c90418869c4880f676c207a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
A.![]() |
B.![]() ![]() |
C.![]() |
D.当![]() ![]() |
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2 . 已知
为实数集的一个非空子集,称
是一个加法群,如果
连同其上的加法运算满足如下四条性质:
①
,
;
②
,
;
③
,
,使得
;
④
,
,使得
.
例如
是一个无限元加法群,
是一个单元素加法群.
(1)令
,
,分别判断
,
是否为加法群,并说明理由;
(2)已知非空集合
,并且
,有
,求证:
是一个加法群;
(3)已知非空集合
,并且
,有
,求证:存在
,使得
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd242f355d5128425429a83e4b6632c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8362f15e544684164f38ff9ad7c38ac7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ea5a550b5452df9abdbca776c2ff500.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/509a09a7391de2cc86e5e44ccccc981b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8236622218d4d4012d8637538ac9032.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bef35ae51107e991163ea418c8dec53a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebf00e8864c86c3ce8118ea76bf69773.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc118659264aca9e263cb8edc41e9c44.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebf00e8864c86c3ce8118ea76bf69773.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71f0119b6de9149150071fe7ed848aa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a065a5ddaa18900ee15a8b436f0fcb95.png)
例如
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/178e8cc61b87b4dc63105ab4fca8680c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7cb4e4e98b375294dc1dccbeebbd6c2.png)
(1)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/809b2e00ab8e43a0f886c7f83846d3d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b113752e4f989a338747b95a40cf386.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d18f9bbb6b9feb166f7ecfb49013262d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64ee969e5c3d880e0209235bb9cfc49f.png)
(2)已知非空集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a02a810b3332821bc444f215183c9e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a7d3e3d84e1fdee95574817741d731e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08152bab36dca188978d125e4b7a935a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/489ea5a5f5b5de37e238cbfbb4a01143.png)
(3)已知非空集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d28cc3165eef94c22c442b2f30c87cc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4034552829008c1daaee2701d2afe8dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62e0f9ba8419972cff845bfd91f64297.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93ddc4872d58eaa6bcc432b7b94939f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd5eb4f6f84d264f3403eece1e7c37b7.png)
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3 . 若直线l与曲线
、曲线
分别切于点
,
,则
取最大值时,
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d8db8786498dbd1a57ab35d87444df4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64952ca2dd68282b23e2f5b5109ecd95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d6f5adf13b4214666292dd64b947741.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af405a054bfe7fb7ce40e48d816467e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec12d79744fa34adbfbb91bb6b1ec4e7.png)
A.e | B.1 | C.![]() | D.0 |
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4 . 人们把一元三次方程的求根公式称为卡尔达诺公式,该公式为:对不完全的一元三次方程
的三个根分别为:
,
,
,其中
,
.
(1)求
的三个根;
(2)求
的三个根.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5dd275a6062b21f9c3e9155c7e0ba62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a3ea1dcc88666b3860a1b706209e19d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/298c86367ad93cb50ded80b69bfed5de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3020c8a9c46c7dcae57ac827feeeb98f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eca909e9f398d9b53bcf5fe1bceb0db1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c789a7cd7ac2b8b96dc879c6c8161ee4.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb23fcb39475ffaa01c1a2fcfe1b19f0.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87008ef398e12cbce656eabe57e17876.png)
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解题方法
5 . 若
均为单位向量,下列结论中正确的是_______ (填写你认为所有正确结论的序号)
(1)若
且
,且
,则
的取值范围为
;
(2)若
且
,且
,则
的取值范围为
;
(3)若
且
对任意实数
恒成立,则
的最小值为
;
(4)若
且
对任意实数
恒成立,则
的最小值为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2cc1f1ef9ad32eef62aefa4c3fc3d6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae19a80b97d4dfd1be47844c02980d8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3797ac9ea94855ed77cb9be5b4671874.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a8d6f122739bfe3e5182375b585870a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43c73388e5a836011f59e523130b0784.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2cc1f1ef9ad32eef62aefa4c3fc3d6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae19a80b97d4dfd1be47844c02980d8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e29119d4f3ee3426a24700ff7b4ba3e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a8d6f122739bfe3e5182375b585870a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93188fdb80dbd006ff8e940f048896a7.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/960fffaf9d3cee05667705c83419380e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8891c4e0d2d98d3070164b4a48f5d692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c279eca88d292dd0573b49efae2e07f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
(4)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/960fffaf9d3cee05667705c83419380e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8891c4e0d2d98d3070164b4a48f5d692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2aafdbb391ae0050cef40c8d590cabe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
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解题方法
6 . 已知圆
,过
的直线与圆
交于
两点,过
作
的平行线交直线
于
点.
(1)求点
的轨迹
的方程;
(2)过
作两条互相垂直的直线
交曲线
于
交曲线
于
,连接弦
的中点和
的中点交曲线
于
,若
,求
的斜率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77178147cc153b64efca477304749b89.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/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/254d90ef7eba319615e1fd6e01f6abd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d96ef8e714af322b2513088d1e39d90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ce8e311fba25aaed846ad7f80565f0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82482c50f0eb9786dcaf880fbd7c24f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28a2ac80f00802614863923e1acf580b.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/2c4fd083f28b75df5b833752121d9895.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
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7 . 给定正整数
,任意的有序数组
,
,定义:
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1fb7a18149d91f94f0df6809403f9ed.png)
(1)已知有序数组
,
,求
及
;
(2)定义:n行n列的数表A,共计
个位置,每个位置的数字都是0或1;任意两行都至少有一个同列的数字不同,并且有只有一个同列的数字都是1;每一行的1的个数都是a;称这样的数表A为‘
表’.
①求证:当
时,不存在‘
表’;
②求证:所有的‘
表’的任意一列有且只有a个1.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2ed67043f7ad15e42d9e92b58adf81c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cfcca94c8524dfefe471fd55be83736.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f00e0cc3c5765444157900fee292f7a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1fb7a18149d91f94f0df6809403f9ed.png)
(1)已知有序数组
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3500e2bc7384abda0ca78edaec3f6d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/778b1b95b10df70df052e1e1ceaca2c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4ac911432046e3e6c58c5c599d54216.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/468eb380831acf6234e8b8aac2267daa.png)
(2)定义:n行n列的数表A,共计
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ceef1abeeef220b4fe5f7d96feedd90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b1ef8b58951134267aea088bb1ca4c4.png)
①求证:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fac3649308b528fd56545ba102dc42d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b1ef8b58951134267aea088bb1ca4c4.png)
②求证:所有的‘
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b1ef8b58951134267aea088bb1ca4c4.png)
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8 . 半正多面体是由两种或两种以上的正多边形围成的多面体.半正多面体体现了数学的对称美.如图在一个棱长为4的正方体中,
,
,……,
,过
三点可做一截面,类似地,可做8个形状完全相同的截面.关于截面之间的位于正方体正中间的这个几何体,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d36fb8219ce5186e7bb59a132eb881ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3ff01e2d34ecd3a793aefca53539ba1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05700c3d8a6eddac23d7ff80dcccccc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2e2fff17f81d5d24e3c76039b7ed51b.png)
A.当此半正多面体是由正八边形与正三角形围成时,边长为2 |
B.当此半正多面体是由正方形与正三角形围成时,表面积是![]() |
C.当此几何体为半正多面体时![]() ![]() |
D.当此几何体是半正多面体时,可能由正方形与正六边形围成 |
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解题方法
9 . 在函数极限的运算过程中,洛必达法则是解决未定式
型或
型极限的一种重要方法,其含义为:若函数
和
满足下列条件:
①
且
(或
,
);
②在点
的附近区域内两者都可导,且
;
③
(
可为实数,也可为
),则
.
(1)用洛必达法则求
;
(2)函数
(
,
),判断并说明
的零点个数;
(3)已知
,
,
,求
的解析式.
参考公式:
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/955689923ebe1be46168295644f4a178.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ef9c42b3bfeac3b11f6f2f7c5227967.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e7490f915131bdb436285e3fb284817.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ba30ad5f21a62879bba0aee45b81507.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e530f639eaa27858ed7db451e2ed576.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e4658c5369aa8a25ea8580f524e87da.png)
②在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf90c83ba8da83994264cb5b8b2f15f4.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56af5e590e8152c9a7ded6209e446ced.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0de3f06b6df7b949c5e6b406a661079f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f32baa7d29934cde8a5203388ed18c6.png)
(1)用洛必达法则求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/782ec35f212cb1448863b4b15e806814.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/161ab6e6a97905ea5bb2b3fc390ab7d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deda945164283569437cda6976fe35ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ddd2a1b30b9ad891172f7f21c5a2701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bc2b7be871fef904c94ef6360ee32bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f385eacc118fe9b5f0c23182929d6a50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
参考公式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9005b464218c70a9963452693645cf2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9949db821a880972efbfb32354cd6bd.png)
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2024-04-24更新
|
783次组卷
|
5卷引用:2024届河北省邢台市部分高中二模数学试题
2024届河北省邢台市部分高中二模数学试题(已下线)模块4 二模重组卷 第3套 全真模拟卷(已下线)专题14 洛必达法则的应用【练】河南省郑州市宇华实验学校2024届高三下学期5月月考数学试题河北省衡水中学2023-2024学年高三下学期期中自我提升测试数学试题
10 . 设A,B为两个非空有限集合,定义
其中
表示集合S的元素个数.某学校甲、乙、丙、丁四名同学从思想政治、历史、地理、物理、化学、生物这6门高中学业水平等级性考试科目中自主选择3门参加考试,设这四名同学的选考科目组成的集合分别为
,
,
,
.已知
{物理,化学,生物},
{地理,物理,化学},
{思想政治,历史,地理},给出下列四个结论:
①若
,则
{思想政治,历史,生物};
②若
,则
{地理,物理,化学};
③若
{思想政治,物理,生物},则
;
④若
,则
{思想政治,地理,化学}.
其中所有正确结论的序号是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/069ec439d599e7989e74f4c4ac91d65f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/911cdb689ca80557ce076cb49b3ee498.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6899bf9cadae2ccdb14cbc87d4f280ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f30f56664446f32dbbc2c5f12a99374.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3dabace330ccdd9755fbcf32d5d6343.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1b625192d7398634a02ea24fa78ed87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef354e5c5ff828cc8d27c71badd40f98.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d10b9f228c9a255aca3ace899db760d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9620357ea5be4037cfdccd09a27d3862.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9b4f81050636eac5b4f064fa0f06313.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9620357ea5be4037cfdccd09a27d3862.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9620357ea5be4037cfdccd09a27d3862.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a41bbaf9ee8f16ee2ab343dc164a8e48.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/231bca548a6ffe3013474743e1b5d039.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9620357ea5be4037cfdccd09a27d3862.png)
其中所有正确结论的序号是
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