名校
解题方法
1 . 已知
且
,若函数
,的最大值不超过1,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eab873855ed8ca580c0ac1f461ccc3b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 有一组实验数据如表,则体现这组数据的最佳函数模型是( )
2 | 3 | 4 | 5 | 6 | |
1.40 | 2.56 | 5.31 | 11 | 21.30 |
A.![]() | B.![]() |
C.![]() | D.![]() |
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3 . 若lga(
)与lgb(
)互为相反数,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 已知函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db8ee93f7771f73f0303642db5783b21.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1854fd8bf76e74f6414fc8c9a77a0216.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db8ee93f7771f73f0303642db5783b21.png)
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解题方法
5 . 已知函数
若
,且
,则下列关系式一定成立的为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/353372712f9b302d01c9eff8edb1d335.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c71152396d26b0c146e6a3c042bbdae9.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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6 . 若函数
,则函数
的值域为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d7227e1b3a09350c4418aec0b509d7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/772dede203ef1430c85d5704c7be4812.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
7 . 已知函数
定义域为
,且函数
与
均为偶函数,当
时,
是减函数,设
,
,
,则a,b,c的大小关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](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/0e81e15b871dd32b2438ef8025bcc42d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0cd25953d3ae11d09a97e04abba27cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7e23ebe040925723afd72636d468480.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/921592a423a54329d9b2e0708bbcda4e.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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8 . 已知函数
为
上的奇函数,且当
时,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ecc5dc438439a011810a8837a350d22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11386804e36d2e9c61c9803a965c5164.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
9 . 如果对于函数
的定义域内任意的
,都有
成立,那么就称函数
是定义域上的“平缓函数”.
(1)判断函数
是否是“平缓函数”;
(2)若函数
是闭区间
上的“平缓函数”,且
,证明:对于任意的
,都有
成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c2f1ca03ade14de6711c85de8fc5df0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ea19565e4feac073e898ab188fc3f5.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2aeb3ca8cbc4facb2467b1a618f33794.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83a6c0fddb9074dfc96be03b4aa24d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14e9387190a323961884c302798c9e4e.png)
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名校
10 . 已知函数
,则下列有关该函数叙述正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/beae01e9e98359fce02acff8a55902da.png)
A.![]() | B.![]() |
C.![]() ![]() | D.![]() ![]() |
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