解题方法
1 . 已知正实数x,y满足
,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed5d63f865352531df918b0682a7f93a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3674724efbdf3b66807d135765d3ccc0.png)
A.![]() | B.0 | C.1 | D.2 |
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5卷引用:广西玉林市部分学校2024届高三上学期12月模拟数学试题
广西玉林市部分学校2024届高三上学期12月模拟数学试题广西壮族自治区贵港市2024届高三上学期12月模拟考试数学试题(已下线)热点2-2 函数的最值(值域)及应用(8题型+满分技巧+限时检测)(已下线)专题3.2 函数的单调性、极值与最值【七大题型】(已下线)模块2专题5 函数同构 化繁为简练
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2 . 已知函数
,若
的最小值为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b37f9c6f1fd628fba4efbea9cd688c12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
3 . 若集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0a960496cdcfc4feb7f334154009fca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de900cafc61bbddc8de6e2f574d3e1d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 已知
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b681e84f53ef6f5990becbbe5d55c787.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . 化简求值:
(1)
;
(2)
.(
为自然对数的底数)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5e03e0c60889f1e13295ab1a35ed63d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed219570e5a0b45b221e4788107cffc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
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6 . 已知函数
满足
,函数
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b289b7441399cf56529d74581d122c06.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9dbb70efb53fdd394d7eb8f7720629c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc83bb993e5cce304c8cea67c13d4862.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d470cc3189414bd37765dbf17487462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a7037a80ac257e708d93faf650e0bbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b289b7441399cf56529d74581d122c06.png)
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7 . 血氧饱和度是血液中被氧结合的氧合血红蛋白的容量占全部可结合的血红蛋白容量的百分比,即血液中血氧的浓度,它是呼吸循环的重要生理参数.正常人体的血氧饱和度一般不低于
,在
以下为供氧不足.在环境模拟实验室的某段时间内,可以用指数模型:
描述血氧饱和度
(单位:%)随给氧时间
(单位:时)的变化规律,其中
为初始血氧饱和度,
为参数.已知
,给氧1小时后,血氧饱和度为80.若使得血氧饱和度达到正常值,则给氧时间至少还需要__________ 小时(取
,
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f452908e724c9966128657203147834.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f452908e724c9966128657203147834.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00d46cf4499886e3718f7cfc668954d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbf37898700f118daeac10fe61b10c43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54f562eb3c2a45d65cba066d712825a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3834d7ec7531f3c3c0ce9b286f7a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3da0888330e19bacdd4fc642c00c2b55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45b7a9fc55ba40fafe34c089cc4bf10b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2180d763b96804f2d4fed0130fdb66bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc726a9ef70f5120d72acb5f73a90f88.png)
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8 . 函数
的大致图象是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06ccd8e03af9f8a6fc0b30c424b07b02.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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422次组卷
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4卷引用:广西三新学术联盟2023-2024学年高一上学期12月联考数学试题
9 . 已知集合
,集合
.
(1)若
,求
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d86b1fec9a9ba0c1e1e17d6f67a0971b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f42199526888d32a98b451ecbf586c13.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b05d2be27e8f53e4de3071846dffb41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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10 . 已知函数(
且
).
(1)若当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200f24e682c93e02a87f3f9d57dc5d40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d344f1f34ccddbf69d7fdd7180e21383.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d6243e93c41978871cb23d8e66148d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57d3db0fbbcc4d4139bea308d35c7242.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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4卷引用:广西三新学术联盟2023-2024学年高一上学期12月联考数学试题