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1 . 函数
值域是
,则实数
的取值范围是__________ ;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c66165fee1637b792c4b4469473247e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b9907b9f5f5b560bfdfbff24513d026.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2卷引用:贵州省铜仁市沿河民族中学2022-2023学年高一上学期期中测试数学试题
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2 . 关于
的不等式![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea7b38bbaa9eb31894415dd58ad61138.png)
(1)当
求不等式的解集;
(2)解关于
的不等式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea7b38bbaa9eb31894415dd58ad61138.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87676cc3ca413d9ba64fab2cd45c909c.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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解题方法
3 . 函数
是定义在
上的函数,对
,都有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd384d86840b7b158af41f56fe29c7d1.png)
(1)求证:
是奇函数;
(2)若
时,
,求证:函数
在
上单调递增;
(3)在条件(2)下,关于
的不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/933093b52cca887f597cbe22a5467b11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e6e2c4b5ca7f58c7c495c4af3bc7a68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd384d86840b7b158af41f56fe29c7d1.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db053b743c6ecbf87eb04fd8041b4c48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a1b1fdcdde97a8c9e9339b2f33c5d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/933093b52cca887f597cbe22a5467b11.png)
(3)在条件(2)下,关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d099b832b6af1f0b97aa92a95616ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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4 . 已知集合M={
│
}, N={
│
},则“
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/118b964bf1e90b069d087e95737b113b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e85d071547ff5f304ebc96feb31f8892.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acfc595518cf752e1c7903dfff93dbda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ca06304795e9c2c1fd0b4a52eb8d5b9.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分以不必要条件 |
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5 . 一批救灾物资随17列火车以
km/h的速度匀速直达900km外的灾区,为了安全起见,两列火车之间和距离不得小于
,问这批物资运到灾区至少要_____ h.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc13a607ac0c7f76d252d7cb1bb040fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ac6520c56391a15fadc3784691dadde.png)
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6 . 设
为定义在R上的奇函数,当
时,
为常数),则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afd0d44a53a0e17385724c502ad25f0b.png)
A.![]() | B.![]() |
C.![]() | D.函数![]() |
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4卷引用:贵州省铜仁市沿河民族中学2022-2023学年高一上学期期中测试数学试题
贵州省铜仁市沿河民族中学2022-2023学年高一上学期期中测试数学试题湖南省衡阳市衡阳县第五中学2022-2023学年高一上学期期末数学试题(已下线)8.1 二分法与求方程近似解 (3)(已下线)第05讲 4.5.1函数的零点与方程的解(2)-【帮课堂】
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7 . 不等式
的解集是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7e44da0f7e9e6aeacb7e765163392bf.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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8 . 下列命题中是真命题的个数是( )
(1)
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdcb7ab16d11a31f469ed93ae7f241f0.png)
(3)若
为真命题,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10ede78fd7ac619ea597856254bb5d75.png)
(4)
为真命题,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2cc93465f7cc3ff974a8b90a51a0155.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f900f11e0682037114f9a8488ca549c.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdcb7ab16d11a31f469ed93ae7f241f0.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8193772c3985f74d23b37d57905c6ef1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10ede78fd7ac619ea597856254bb5d75.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38bc3408db09acb4b44b7196d8f67b46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2cc93465f7cc3ff974a8b90a51a0155.png)
A.1 | B.2 | C.3 | D.4 |
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解题方法
9 . 用
表示
两个数中的较小值,设
,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bcf98ae4aff5b41b9356ee67ad9f562.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a936198c3e046eb0e972b552260ed9bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
A.4 | B.5 | C.6 | D.7 |
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4卷引用:贵州省铜仁市沿河民族中学2022-2023学年高一上学期期中测试数学试题
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解题方法
10 . (1)若
求函数
的解析式,并写出其定义域.
(2)求函数
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a780a0fb1e2ea3ad26c943e9c495dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f2d8302722f260dcc5a38d3e438029e.png)
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