名校
解题方法
1 . 已知函数
为偶函数,则实数
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47630cb82f1ffc7111043ad0764add3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2 . 已知函数
.
(1)求不等式
的解集;
(2)若
,不等式
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/276246854dd33691f6798db87faeea0b.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d37dafb12565279285111a5948d835b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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3 . 下列命题中,是真命题的有( )
A.集合![]() ![]() |
B.若![]() ![]() ![]() |
C.![]() ![]() ![]() |
D.![]() |
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4 . 定义域为
的函数
满足
,
,且
时,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab0c6f119137e1b6760d55956d99d963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9da4fdfdddc259dcef9fdd4b826b64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
A.![]() | B.![]() ![]() |
C.![]() | D.不等式![]() ![]() |
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5 . 已知函数
,则满足不等式
的实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07ee415d3b88a2574b7b9814ff059806.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32affbaf32551c10acc6ad0261e08727.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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6 . 在
,
,
,
这四个数中,最大的数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86a5090c79fb53e95131761531acdaf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/316cad4f13431fc25f376a06262baba5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d2c7c3ee454f5b455bf4290705241a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0563ae078853593e25c69c2cf03b2f20.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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7 . 已知函数
则下列说法中,正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b657a78e815866a767d39a3c8b9247cc.png)
A.若![]() ![]() |
B.若![]() ![]() |
C.若方程![]() ![]() |
D.若方程![]() ![]() |
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8 . 记全集
,已知集合
,
.
(1)若
,求
;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/442be389c6471b36eff2652b75beb114.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/126129b13dc3e8817eb0eb2de6dd1cf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/672388bcf46a971284cd2f4763bd37e6.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a69c58edb641bdf02f3685d4f36d793.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7d6537709d1ab4bec43bd14c9ba696.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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9 . 函数
的大致图象是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/502f6178e01dfdfc2d9b6bbaea1937c8.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
10 . 已知函数
.
(1)若
,求不等式
的解集;
(2)若
时,
的最小值为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b23fabe4b8c9810a3e043dfc27ffc7.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9a81e971f501d78f5560c0c3d42f0f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f1a722a2595fdc71462654b764ee49d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24aa16b780156e18f12baa2b8ee0f9a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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