名校
1 . 下列命题正确的个数是( )
①命题“
”的否定形式是“
”;
②函数
的单调递增区间是
;
③函数
是
上的增函数,则实数
的取值范围为
;
④函数
的零点所在的区间
,且函数
只有一个零点.
①命题“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ccf40ed9c1f8664e4df733ac27ab458.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61532ff0cfeee50ba510f37c46cca8de.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b3f59e26390155b7c1224ef66276918.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/697502668f81761b8b9ee1d8f179451b.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31afc8494c97d22152eed9870e0b9af4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fefeac0d38a1a529666ebbb9278835a2.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47c8ed66e857f5ad738cec4150222082.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3654254401fc902c3cb4912969f21f88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
A.1个 | B.2个 | C.3个 | D.4个 |
您最近一年使用:0次
2022-08-15更新
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1236次组卷
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4卷引用:广西钦州市第一中学2022-2023学年高一下学期期中考试数学试题
名校
2 . 已知向量
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10b940311c20893cd48b012e969c3586.png)
(1)当
时,令
,求
的最值;
(2)若关于
方程
在
上有6个不等的实根,求
的取值范围;
(3)当
对
恒成立时,
的最大值为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/750effc6e9ac491d37913b5b2ffee9ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10b940311c20893cd48b012e969c3586.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ff5eb42415495e3df113c9002e45810.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b672f564d03ed46d092bb130f229ad8.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dee113821d5312247f9d1cd9264518e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e2b4ae1c8c9f18a28876ca096b5ed25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/834d8a92bea79cdbfe989b6d9ac8b300.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5918225ea59ff46602bc255fa7daf72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93c54705d32dc6820f1a90eec2225dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0203d236c53db2cbcbe00b7ffe5fe57d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
3 . 已知函数
的图象在定义域
上连续不断.若存在常数
,使得对于任意的
,
恒成立,称函数
满足性质
.
(1)若
满足性质
,且
,求
的值;
(2)若
,试说明至少存在两个不等的正数
,同时使得函数
满足性质
和
.(参考数据:
)
(3)若函数
满足性质
,求证:函数
存在零点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/094f977194228bed828f3507f5898934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2a2c48c3896c9f07bc82434e30020fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c1ff5cb5a9d88ed7db2c06683c3e355.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bea0dd7e474bcd04db2544427ba0488.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/196be101149acfb6a6c4ceca7fc96828.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0feacb36911be3ca27b87449754b28d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/842d905700b5635303a740bd0109ff0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f5dd698ddbe275267809650dc551e34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad9b41127e7230a15dcdc5cae08739c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/879f7ee2372a171567ae512f66216d38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f3ab85db456b851bb7bed23fc9a187f.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c1ff5cb5a9d88ed7db2c06683c3e355.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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2021-12-15更新
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8卷引用:北京市海淀实验中学2021-2022学年高一下学期期中数学试题
北京市海淀实验中学2021-2022学年高一下学期期中数学试题北京市日坛中学2023-2024学年高一上学期期中考试数学试题北京市海淀区2019-2020学年高一上学期期末调研数学试题(已下线)第8章 函数应用 单元综合检测(难点)(单元培优)-2021-2022学年高一数学课后培优练(苏教版2019必修第一册)广东省茂名高州市2021-2022学年高一上学期期末数学试题福建省莆田第一中学2021-2022学年高一下学期期初学科素养能力竞赛数学试题广西钦州市2022-2023学年高一上学期期末教学质量监测数学试题江西省宜春市宜丰县宜丰中学2022-2023学年高一下学期期末考试数学试题
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4 . 下列命题中正确的是( )
A.函数![]() ![]() |
B.若定义在![]() ![]() ![]() ![]() ![]() |
C.![]() ![]() ![]() |
D.函数![]() |
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2021-08-17更新
|
387次组卷
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2卷引用:辽宁省大连市第一中学2020-2021学年高一上学期期中数学试题
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5 . 方程
的解的个数为__________ ,若有解,则将其解按四舍五入精确到个位,得到的近似解为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f14d4c40c52c341072a37e98bcf0fc1.png)
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