1 . 如果对任意的整数x,y,不等式
恒成立,求最大常数k.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3c0252c0000385c3f7bfb989f266c87.png)
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2 . 已知函数
在区间
上恒正,则实数a的取值范围为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a2f9503336c3bf788cdc5e3c91ffdcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae976d6c9c48eb578f1e37394c6709c6.png)
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3 . 已知
,
.设
,则
的整数部分为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7360cd8a3b80d6b572255042528f0740.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3625fa11729e51745eee9ed2cfa29be6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53ee923e5c38b4cef1df8fd9f0f30e9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ffb694021b52653de5141ae27ba6d0.png)
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4 . 已知二次函数
有两个不同的零点.若
有四个不同的根
,且
,
,
,
成等差数列,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e0be5afa2a9e64ec663846e1b4c1404.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f7a9ef0a7eab052019086506c70bd40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3604274ad6707a906eba371a9e884144.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/365b38a7689a8eede6820cd6f1fe952b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9f2416d1f75a45a314331146550832e.png)
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5 . 已知函数
,记M(a,b)是|f(x)|在区间[-1,1]上的最大值.当a、b满足M(a,b)≤2时,
的最大值为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aa1d3a1cf44dd03bcf70678b2999e16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efd73344268aa345e9be954264a45c87.png)
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6 . 已知
且
,则
的最大值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65fe60e0b50b68ab801e534fb93396bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e13bb19a321f581d72531f74fa23faa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3131f74b00b2f04ac3b3200bc5d5ccf.png)
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7 . 设椭圆
(
)的右顶点为
.如果椭圆上存在一点
使得
(
为坐标原点),则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8019255571cab57db04d6872d1591c5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c6ce02259a85ea191541f4a708738f1.png)
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8 . (1)表1是在一次物体的平抛实验中测得的数据.
表1
假定物体的轨道方程是
,求实数
的值,使得每个测点
到所求的轨道曲线上的点
的距离平方和
最小.
(2)在(1)的要求下,对表2的数据,求轨道曲线
的方程(系数
要求精确到0.01).
表2
表1
![]() | 0 | ![]() | ![]() | ![]() | ![]() |
![]() | 0 | ![]() | ![]() | ![]() | ![]() |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cf210c8c9e83e70f2d3ede1e18a5f3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49ec9ae81bd6466160bf49895da6179e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1bb3cf3a28d586f33625fb82912a08d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/341e3acd5491f4c6b610e8aa7b5aafc7.png)
(2)在(1)的要求下,对表2的数据,求轨道曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cf210c8c9e83e70f2d3ede1e18a5f3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
表2
![]() | 0 | 1 | 2 | 3 | 4 |
![]() | 0 | -2.60 | -9.90 | -22.60 | -39.80 |
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9 . 求下面关于
混合组的解
其中,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2e647c14561826ba9e396acc5a3792c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbcbdfb3c89d2e619f27e27dd5d8b881.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec92a7b2634be88c05cb62166dc09c64.png)
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10 . 不等式组:
的解集非空.则正整数n的最大值为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c7874dbb5cc29c2652ebe2cb1b3507f.png)
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