解题方法
1 . 设函数
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e7ac51387bee683bfda4fd6c66f8fb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd88a9a631a4bd403443fe500a0dfe9e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
2 . 已知函数
,若函数
有且仅有两个不同的零点,则实数a的取值范围是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/514b04a64480808478c8d032879f21cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee74589d2315942a29327b8397482530.png)
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3 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb0f55e98adff5f32fdd7cc57bca294a.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb0f55e98adff5f32fdd7cc57bca294a.png)
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4 . 已知集合
,
,则
中元素的个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/246926220869334b7117a2c1b97fc8a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9cbeeafc8d65626f4a399da2a787fdd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
A.1 | B.2 | C.3 | D.4 |
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5 . 对于正整数集合
(
,
)如果去掉其中任意一个元素.
之后,剩余的所有元素组成的集合都能分为两个交集为空集的集合,且这两个集合的所有元素之和相等,就称集合
为“和谐集”.
(1)判断集合
是否是“和谐集”,并说明理由;
(2)求证:若集合
是“和谐集”.则集合
中元素个数为奇数;
(3)若集合
是“和谐集”,求集合
中元素个数的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bcbde10b7bc82536072ca38f32b2f8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cca1d86c9f078347773f700fee49d1d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bcfc48f9bc23cc43085bdb910e7a136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/701281aafdb6f984a3bcbc1418e46ff1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(1)判断集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f37ab30f2e841f260e46be2714954d0e.png)
(2)求证:若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(3)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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解题方法
6 . 函数
的定义域是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a68be46743b06938fc55aec8b433f23.png)
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解题方法
7 . 若
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2b27b00d0193886cb9a2981e93edcdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56fbe26e7eaaeddc721c1da9190cdbae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5e7ac02845df853d360578fd84cebc7.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
8 . 设函数
,当
时,
的最大值为______ ;若
无最大值,则实数
的一个取值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf067013acfc1b55f2e146951148b6d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
9 . 函数
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8053cc02b6ef5842abf1d4201e8866f.png)
_________ ;若函数
是
上的增函数,则
的取值范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc601ce56905d327e3567deed0b4b911.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4c355f11471a38f5583a434a1ddeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8053cc02b6ef5842abf1d4201e8866f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2372f424431ce7b547a66b7d61d75421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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10 . 下列四个函数中,在
上单调递减的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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