名校
1 . 已知集合
,则
的真子集的个数是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ef28ef83d8fac821a0f182da4e4707d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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解题方法
2 . 函数
的值域为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ec732c73c3a015abb6679a045a89e8f.png)
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3 . 已知
,集合
.则集合
中所有元素之和为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca72a26db57090bba9eb901e694195bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37013abe2917d3a92d070885a0c215f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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4 . 若
,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adeaf76b2e4d02f75701042524773d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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解题方法
5 . 若函数
对于任意
,总存在
使得
,则称
是
上的“
阶依赖函数”.已知函数
是
上的“
阶依赖函数”,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/831e78829eef3525499e87cb9f908c17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51d73f13cccf2bdcdbee8a01ece94282.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0949462abf53799076637580e85bd76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbd8466b576ad34d6ef492599940f4b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b161347f6a2fcfd9bf0acf1e8a03fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62c2cc4cd1e8bcb4b75b6e799156736e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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6 . 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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7 . 已知集合
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5990fe8270a3cd33f089e889f68792db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17d8ba265205c6a6e0bc7d845c386fba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
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名校
8 . 设
,已知函数
的两个不同的零点
、
,满足
,若将该函数图象向右平移
个单位后得到一个偶函数的图象,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f9a5a76582f038a8875d5c8c1b98052.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6ace9551a858f805975f40dc2853136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c88dc86ad6c966febbad5cb0657dd649.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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名校
9 .
,已知
是定义在
上的偶函数,且
时,
,则集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9163ebe812708ee5337d62298c2e3363.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08793fa6cbcd2da8a41618ba4065649c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2628e2dd7a988cc80530e739c22b2280.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/986cda000d28188fbf069d4587c7e23f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb02fa6a94d9dfc5378e2b8a52a3a4a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9163ebe812708ee5337d62298c2e3363.png)
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解题方法
10 . 已知函数
是偶函数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
_________ ,函数
的单调递增区间为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16ad3cd09715e2bd73d6d1f828dfaa6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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