1 . 已知实数
,
,
满足
,则下列说法正确得有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48b883dd712e3d1154cdf2d60a917097.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
解题方法
2 . 已知幂函数y=f(x)的图象过点
.
(1)求函数f(x)的解析式,利用定义法证明函数的单调性;
(2)求满足f(1+a)>f(3-a)的实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e501efaf72113fc8ee3d495004fa980.png)
(1)求函数f(x)的解析式,利用定义法证明函数的单调性;
(2)求满足f(1+a)>f(3-a)的实数a的取值范围.
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3 . 已知函数
,如果关于
的方程
恰有6个不同的实数根,则下列说法一定正确的是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d5529c4cd422853d5f7244414c7d8e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a877ab9d6a59eca86bf22e811553928c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 我们称数集
为数域
,当且仅当数集
中的任意两个元素经过加法、减法、乘法、除法(除数不为0)四则运算后,其运算结果仍在数集
中,则下列数集能称作数域的是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
A.自然数集 | B.整数集 | C.有理数集 | D.无理数集 |
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解题方法
5 . 若函数
在其定义域内满足
,则
的函数表达式为__________ .(含自变量的取值范围)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b97f0d452988f3d8a6f983d84fecbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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6 . 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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7 . 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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8 . 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.![]() |
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9 . 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 |
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解题方法
10 . 已知
,则在下列区间中,
有实数解的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66e9d878a6e7f819f884bacc6731f561.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b92b70365c63607daecdc8deb73ecf.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次