1 . 已知函数
.
Ⅰ
求
的定义域;
Ⅱ
解关于x的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a26e8e13d5c3274cbb9cbf584175c784.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e09f4375ca75fc7553ccd3d9c83841d6.png)
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2019-02-20更新
|
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3卷引用:【校级联考】浙江省9+1联盟2018-2019学年高一上学期期中联考数学试题
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2 . 已知不等式ax2-5x+b>0的解是-3<x<2,设A={x|bx2-5x+a>0},B={x|
}.
(1)求a,b的值;
(2)求A∩B和A∪(∁UB).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e83a8e168f3a16a37e2edbccde58524.png)
(1)求a,b的值;
(2)求A∩B和A∪(∁UB).
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2019-01-12更新
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7卷引用:【区级联考】天津市南开区2018-2019学年高一(上)期中数学试题
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3 . 已知函数
,
(1)求函数
的定义域;
(2)判断
在定义域内的单调性,并根据函数单调性的定义证明;
(3)解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e57a6abe840c2e23f2ef6f32079e67cb.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d944af18d20473a6a4f1b7e12b4dfe5.png)
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2018-11-19更新
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2卷引用:【全国百强校】浙江省嘉兴市第一中学2018-2019学年高一上学期期中考试数学试题
4 . 设
是实数,函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aae6633cc8186766bb46f5e46e0254a5.png)
.
(1)求证:函数
不是奇函数;
(2)当
时,解关于
的不等式
;
(3)求函数
的值域(用
表示).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aae6633cc8186766bb46f5e46e0254a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3210274e57cc0487a58b99ea274b8aa1.png)
(1)求证:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb5f421939ee855f25927e7570d82c71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4d3db25341ea76852ad7856c338df1c.png)
(3)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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5 . 已知函数f(x)=lg
,
(1)求f(x)的定义域并判断它的奇偶性.
(2)判断f(x)的单调性并用定义证明.
(3)解关于x的不等式f(x)+f(2x2﹣1)<0.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eba6d2da00c821df38db8024d3638dc.png)
(1)求f(x)的定义域并判断它的奇偶性.
(2)判断f(x)的单调性并用定义证明.
(3)解关于x的不等式f(x)+f(2x2﹣1)<0.
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2018-12-03更新
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6 . 已知函数
其中
,
(1)解关于
的不等式
;
(2)若函数
在区间
上的值域为
,求实数
的取值范围;
(3)设函数
,求满足
的
的集合.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da09117ed440a25d3ac773870c61bfa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7326ea56be82bd616fec7e6aa3c884c8.png)
(1)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aaada27ba11bcd779d26a63b1f91bb4.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/350a1e5e1be56c74f8663d6bffa63819.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d47bbef4b17a6a7b3d9956d661c6b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(3)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb5c421f63c497bc47f2c295fa167ecd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c999436cbae4c822f5c655606c4a956.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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7 . 已知
是定义在R上的奇函数,当
时,
.其中
且
.
(1)求
的解析式;
(2)解关于
的不等式
,结果用集合或区间表示.
![](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/957f62aa6e41c8637e36041d3bace20c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81abf82ae6296fcd89d577641adc8a3a.png)
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2018-11-06更新
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2卷引用:【全国百强校】甘肃省兰州第一中学2018-2019学年高一上学期期中考试数学试题
8 . 已知方程
的两个根为
,
.
(1)求
的值;
(2)若函数
在
上单调递减,解关于
的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d436744147a2f3454b111c3b4951a74b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87a60302649eb940748da818199e55da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b21b78d4ce2b476afd4f1957cf656d2.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e970eee71b5ba7ca8f8b11de66be98f4.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4fabeb5de96ba033fae5a991d07d8f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61575f7c00f25b56c98ca07f5d1eeb60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41b60a4391d6147d32ebb877b65192f.png)
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9 . 化简求值:
(1)
;
(2)已知
,求
的值.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3adb1d6bd42d11fc1c33e14337500f92.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88ccf942db53c0798a9b0db6eb44597a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85db2fd0d56025e6899dbb46b0dbe7c9.png)
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10 . 化简与求值:
(1)
;
(2)若
,求
的值.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1174960db6d5441924d820e68dc4790c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88ccf942db53c0798a9b0db6eb44597a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac877c3c2f6d3a4b0720b5d92e9885bf.png)
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2020-11-12更新
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2卷引用:江苏省扬州市高邮市2020-2021学年高一上学期期中学情调研数学试题