1 . 已知函数
的最大值不大于
,又当
时,
,求实数a的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a834346acf79a4ad2b02eccdb20013d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e6486784415f3537c9a13556c05d893.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/072c49a32e8d537004c2b14bc0403539.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d0eef90b394d3e1f7047aa8746f4f4d.png)
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2 . 如果函数
满足
,
且
,那么![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8338331b1eb33d0a1bb9ecc740f28912.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9512bb57be58befcf9ce40780bc993d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9da4fdfdddc259dcef9fdd4b826b64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8338331b1eb33d0a1bb9ecc740f28912.png)
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3 . 已知
,
,且
,则满足条件的集合
的个数为______ 个.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6f7fd721c2d24ea5e562d8b8cc9cd4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a4b0f19b2b9c3759aa2983b1180b781.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad8a5de95ee683ed5af7d57234539841.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c4a9f22d9ac64f7c69a8e4777e1fc02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
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4 . 已知
,若函数
,其中
是
的小数点后的第
位数字,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8c519833e0de1763e982b430d35bfd3.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/995ae4eb9e8b1b743bd38893ea7e2c30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/734d891c452cfc0c257fc5b2b10bb765.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/035852e1ed3477bda79da181b92a13c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e62f5fa80dc25634facc21a37eac034.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8c519833e0de1763e982b430d35bfd3.png)
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5 . 已知偶函数
,则不等式
的解为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db8d7eb6498a67fbeeb75718a96c6e59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fef0a96e0d4ade7c8c08753f561c2265.png)
A.![]() ![]() | B.![]() |
C.![]() ![]() | D.![]() ![]() |
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6 . 定义在
上的函数
满足:
,且当
时,
,则
( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64ba1cfb6b6eedcbf837fcabc4b8fa3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ff43f07bb5c62629a93718193a51583.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45987157289348c4a401551ffd7cb820.png)
A.1006 | B.1007 | C.1008 | D.1009 |
您最近一年使用:0次
7 . 设集合
或
,集合
,且
,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/351c585ecf911021dcc12b3973ee521d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac3e627026a67df982843808f5115d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2161377f24aa900b34b66e375ae54e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0533f17d60a28bb076f03484d97b63a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
A.![]() ![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
8 . 设函数
,已知函数
的最小正周期相同,且
.
(1)试确定
的解析式;
(2)求
的单调递增区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa25985f12d22739fc65c9fac54eb8ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8fd1e808e015f4cb43d2e3a0529ac6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69cf30e6c5b91015150eeef87a8a6806.png)
(1)试确定
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8fd1e808e015f4cb43d2e3a0529ac6a.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
2024-03-23更新
|
126次组卷
|
2卷引用:第六届高一试题(初赛)-“枫叶新希望杯”全国数学大赛真题解析(高中版)
9 . 在不考虑空气阻力的条件下,火箭的最大速度和燃料的质量
、火箭(除燃料外)的质量
的函数关系是
,要使火箭的最大速度可达
,则燃料质量与火箭质量的比值是
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10 . 已知,则
的大小关系是
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