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1 . 若实数
、
、
满足
,则称
比
接近
.
(1)若
比
接近
,求
的取值范围;
(2)对于任意的两个不等正数
、
,判断并证明
和
哪个更接近
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b2f36a11b3ee72115629252bcdbe61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b958bc8c214008f62c46bbd993b513d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)对于任意的两个不等正数
![](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/20d6fc9b90f370fbb27552876b650f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e2bd4da6f51c9a9b0ead06cfdf89d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92db8e1e24c0ca83f98aa6d44b35852e.png)
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2 . 满足不等式
的实数
的集合叫做
的
邻域,若
的
邻域是一个关于原点对称的区间,则
的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03a1e41dfab19ea4c8f1824827d0e726.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e96056d539eea51d56e5f92d5475d04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce460941cf3ff54ccb6aec5085689a91.png)
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2020-01-30更新
|
173次组卷
|
3卷引用:上海市金山中学2016-2017学年高一上学期期中数学试题
名校
3 . 不等式
的解集是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a28084f16fa96c301373fe619cb4bc8.png)
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4 . 不等式
的解集为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71f9eec98e2377ca0c6fbb5bb753a0d1.png)
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5 . 已知函数
.
(1)写出一个奇函数
和一个偶函数
,使
=
+
;
(2) 若
对于任意的
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c7bad122bb5ff018ec5a9b4bdb30c98.png)
(1)写出一个奇函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
(2) 若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dc25389dd06a7926ef7dddb74d0a911.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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16-17高一上·上海浦东新·阶段练习
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6 . 若
对一切
恒成立,则实数
的取值范围为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f881bbebcc5ccae801e99b91c300f9aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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7 . (1)解不等式
;
(2)若不等式
的解集为
,
,求
的取值范围,并求
的值;
(3)若关于
的不等式
的解集
中恰有5个不同的整数,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f51c0e0b7b42c8a2ec0749fe18a6f99.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c29714ba3a3271aa861087d82677c87a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6119839211a465f62c5ba0aeed0af21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9060e10284dd3f903752eb17c8e6382f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa2263769a401cc0be4b25a4e7856b05.png)
(3)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67b80f37310557463cfad15788af16f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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8 . 若对于任意实数
,关于
的方程
有解,则实数
的取值范围为______ ;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/900e6cc093bccdbd2e1505bb9ac8c3b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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9 . 已知集合
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74e7633b5e64a396e2efcec2e5c67ca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9f6ab1852f6a39bbd11ab808798c4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
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10 . 当
时,不等式
恒成立,则实数
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a134ad7577b6c0a637cc9d1d8b11ebe7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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