名校
1 . 已知函数
.
(1)讨论
的单调性;
(2)设
,
分别为
的极大值点和极小值点,记
,
.
(ⅰ)证明:直线AB与曲线
交于另一点C;
(ⅱ)在(i)的条件下,判断是否存在常数
,使得
.若存在,求n;若不存在,说明理由.
附:
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ef3e79110067a46276f0869bea25af5.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45dddee525114c09ee0d1205aed6e7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b3b54e0dcdc081d45fb3df933cddc29.png)
(ⅰ)证明:直线AB与曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(ⅱ)在(i)的条件下,判断是否存在常数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06318573bd8cf7f9b3ff443b31803df5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/397471107e2d3a5ccedda940a29a361a.png)
附:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac45788afe168a32cfc51ad8e1429577.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b4427f76042503d0ba2302a55fe33d.png)
您最近一年使用:0次
2024-02-20更新
|
978次组卷
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6卷引用:上海市浦东新区上海实验学校2024届高三下学期开学考试数学试题
2 . 已知椭圆
:
的左焦点为
,
为曲线
:
上的动点,且点
不在
轴上,直线
交
于
,
两点.
(1)证明:曲线
为椭圆,并求其离心率;
(2)证明:
为线段
的中点;
(3)设过点
,
且与
垂直的直线与
的另一个交点分别为
,
,求
面积的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b747db7eaf469c6d1607e4b0d028299f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.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/3292c481782fcaa94f1deb888f1c80a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c2293f93791a597bf0162411f3395f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)证明:曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(3)设过点
![](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/c5db41a1f31d6baee7c69990811edb9f.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/b1ed4c4e8edbd179f3fc38a6653f18c1.png)
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2024-02-13更新
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3卷引用:上海市宜川中学2024届高三下学期2月开学考试数学试题
名校
3 . 已知
,函数
在点
处的切线均经过坐标原点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a72228506f0ab7d8d4179fd0ca82d34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7f9b35017daa8b524c5717a355834a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa89a2010f813feaaf42256d0742f71a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-02-04更新
|
2651次组卷
|
7卷引用:上海市浦东新区上海实验学校2024届高三下学期开学考试数学试题
上海市浦东新区上海实验学校2024届高三下学期开学考试数学试题安徽省阜阳市阜阳一中2023-2024学年高二下学期开学检测数学试题浙江省温州市2024届高三上学期期末考试数学试题湖南省2024届高三数学新改革提高训练五(九省联考题型)(已下线)新题型01 新高考新结构二十一大考点汇总-3(已下线)黄金卷02(2024新题型)甘肃省兰州市西北师范大学附属中学2024届高三第三次诊断考试数学试题
名校
解题方法
4 . 已知关于的
函数
,
与
在区间上恒有
,则称
满足
性质.
(1)若
,
,
,
,判断
是否满足
性质,并说明理由;
(2)若
,
,且
,求
的值并说明理由;
(3)若
,
,
,
,试证:
是
满足
性质的必要条件.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f786a5701dc1a8a015e8843c3360151b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/212983432fdb9bb12719fc9be4b410d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c8ea55046932a0d89fe49398fb72abb.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e355deaa8001aa142ead41e794e92ae0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff9dfd083bbfe31bff27c7b8908985c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e00f7dcf1f2fee358dbab591b4a7197e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92aa8ff612fad750c2a0fd6b67e034e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c8ea55046932a0d89fe49398fb72abb.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ff6838d84b68c6f0d3b93b196d9b08d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecc321cc4636ec3895b3462115af44ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b90551ed750a9e91f39d9b5079d9fef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ff6838d84b68c6f0d3b93b196d9b08d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/642f2deb22e5b3bb1a7de07fc6067699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d3d02d205a7ae8eb618ad0e9dd1139d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4d0a51632e4821be8823927b56ff038.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/480db4ea21e9f26ba5e527716477d0c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c8ea55046932a0d89fe49398fb72abb.png)
您最近一年使用:0次
2023-05-26更新
|
789次组卷
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2卷引用:上海市黄浦区格致中学2024届高三下学期开学考试数学试题
5 . 设集合
,其中
,
,在M的所有元素个数为K(
,2≤K≤n)的子集中,我们把每个K元子集的所有元素相加的和记为
(
,2≤K≤n),每个K元子集的最大元素之和记为
(
,2≤K≤n),每个K元子集的最小元素之和记为
(
,2≤K≤n).
(1)当n=4时,求
、
的值;
(2)当n=10时,求
的值;
(3)对任意的n≥3,
,给定的
,2≤K≤n,
是否为与n无关的定值?若是,请给出证明并求出这个定值:若不是,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8aa469da8a950d471de1ab21529b7dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bcfc48f9bc23cc43085bdb910e7a136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac69e6db1df13ed64756b4f391ae9fac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d5ef39c5b9867c447caba74d308f18a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ca2f42085784f69dce4d8df6c2751cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d5ef39c5b9867c447caba74d308f18a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e6b7d9861f405144acc112dbaa83719.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d5ef39c5b9867c447caba74d308f18a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d109d041d18da77fa4bc8e8df8513d08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d5ef39c5b9867c447caba74d308f18a.png)
(1)当n=4时,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57483e04fd1840c87ac5325157149877.png)
(2)当n=10时,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2114a0fe21dc0e5bf831c146ef02b113.png)
(3)对任意的n≥3,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac69e6db1df13ed64756b4f391ae9fac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d5ef39c5b9867c447caba74d308f18a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0f7a3c9c8561ec934c904389b712fcf.png)
您最近一年使用:0次
名校
6 . 定义在
上的函数
满足:若对任意的实数
,有
,则称
为
函数.
(1)判断
和
是否为
函数,并说明理由;
(2)当
时,
函数
的图像是一条连续的曲线,值域为
,且
,求证:关于
的方程
在区间
上有且只有一个实数根;
(3)设
为
函数,且
,定义数列
:
,
,证明:对任意
,有
.
![](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/a11a069688e4c797fcf527eab15afa82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1cd9b780602fac532153308d4624433.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04beea76c59a6c5b096d8c5a3b77f8a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cde7575ff5459f1fd619d9b1ae9321bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e207cf62e3a7e282eac4c4a3455bbf9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/402c2cc85801ce96bd570723624d3d9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e44284cb19805a584880a686ac3df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20e7e2521bc77d291d6bcbd1195c865c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/115da54f93de5e89d1e7f443fccb61f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce5db38507a175a223a12be5cf3be0e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e97769855336d73371930df1f187875e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b2b672625afc7a8db05e12f63eb4ed8.png)
您最近一年使用:0次
7 . 已知函数
满足
,当
时,
.
(1)当
时,求函数
的图像与x轴所围成的图形面积;
(2)当
时,求函数
的最大值;
(3)当
时,函数
与
的图像有交点,将从左向右的交点的横坐标依次记为
、
、
、…,数列
是否可能为等比数列,若可能,请求出对应的m值,若不可能请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74a940e5f45501eba9b07b73b2248bf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/356d300456f7f1c5fd6c90005aadeedb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efb13318f27e55da0b1235027cff5f9f.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028fc8d6c0d37e57d5ceb33b707a59f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/536e30616558446d4a6db6917296128e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4318a47d7e83d587e74bab4d3d1f6883.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07d4d0b32b13857630f986eabb11bc78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8d42f3fa4f3982fee6a5d57bda6e352.png)
您最近一年使用:0次
8 . 对于有限集
,如果存在函数
(
除外),其图像在区间D上是一段连续曲线,且满足
,其中
,那么称这个函数
是P变换,集合S是P集合,数列
,
,
,…,
,
是P数列.
例如,
是P集合,此时函数
是P变换,数列1,2,3或3,2,1等都是P数列.
(1)判断数列1,2,5,8,9是否是P数列?说明理由;
(2)若各项均为正数的递增数列
是P数列,若P变换
,求
的值;
(3)元素都是正数的有限集
,若
,总有
,其中
,
.试判断集合S是否是P集合?请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bc03f09d70cf1d5f795be460113683f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a18ca67c2770b98f36dbfd802595a95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18afe769b390cf22a2966f57433bd8b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dc638ead454671be2670181c69e7b58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30de4943aa77db7dc0b92b29b2aa93f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/681ae1522a36768618f7ddaf74abbb7e.png)
例如,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/862353b1d19b5e38a60c4ceeb2b01913.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f06c36bdce8f8aabfa43588e788c78f.png)
(1)判断数列1,2,5,8,9是否是P数列?说明理由;
(2)若各项均为正数的递增数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e676948d6ad2214846f47fe69a203a2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5024f1c5a1299a0e882a6af20478901.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e21103c30ed5a157ecd99ddd101b8e2c.png)
(3)元素都是正数的有限集
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bc03f09d70cf1d5f795be460113683f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/431acf301f0cf1e414b532de94708474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cef9f1a6fa4360433681655475ac70c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9612cb52aacd0b66fc1ba1297267c9c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09eb0632d3219f2b7cdcf04df8fe945a.png)
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2021-05-06更新
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2卷引用:上海市嘉定区第二中学2022届高三下学期开学考试数学试题
名校
解题方法
9 . 已知函数
的定义域为
,值域为
, 函数
具有下列性质:(1)若
,则
;(2)若
,则
.下列结论正确的是( )
①函数
可能是奇函数;
②函数
可能是周期函数;
③存在
,使得
;
④对任意
,都有
.
![](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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4496b6dc110a079d8164cc1fb0f933ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70e2adedc216f343e2d8df4d40829d10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4496b6dc110a079d8164cc1fb0f933ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e990af66705cbda7c03d41d5ab5fad5c.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
③存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02cab1add26335b3cb43d5b54c7c853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b665a1329dcb5c9904dd1b3eb9c671c.png)
④对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02cab1add26335b3cb43d5b54c7c853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b327deb9ee8c04433c03b92b6548c575.png)
A.①③④ | B.②③④ | C.②④ | D.②③ |
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2021-05-05更新
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4卷引用:上海市实验学校2023届高三下学期开学考试数学试题