1 . 设
.
(1)
,证明:
;
(2)若
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2684b72f9f38f5046c8ecd4280b7b14b.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/114b1d85a3f52a2959c49ec25630dfaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ec307143b4bf45106369f256a796d61.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2504fe7020ff898ca5955a423bed0096.png)
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名校
2 . 已知集合
,对于![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecfb4290cab93c0521d2596031625448.png)
,
,定义
与
的差为
;
与
之间的距离为
.
(1)若
,试写出所有可能的
,
;
(2)
,证明:
;
(3)
,
三个数中是否一定有偶数?证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0434848a72cd9ca6ebf073ad9c83b4c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecfb4290cab93c0521d2596031625448.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f59d8bf2d6b9555064ef53b2fbb009.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9d22720c8b8fbbf1b8e4406400b135f.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/6335f9452b2b0b05bdfd44fae2c7648e.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/e911e37c5e38ad98871864a82b887567.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e89f28120d4bc09dd4e4fcbeca223bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5318f129bfbfca89f51c03144251ce79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8513f18376e4e456b939d0f1cdb6e602.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5318f129bfbfca89f51c03144251ce79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8430e22ff50167e4de289cc378c0bc3f.png)
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2020-04-14更新
|
262次组卷
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4卷引用:2020届北京市朝阳区六校高三四月联考数学(B卷)试题
3 . 已知
、
、
是正实数,求证:
![](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/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2d715e807f4ba78a5e3b90bc2ea8671.png)
您最近一年使用:0次
2019-10-30更新
|
400次组卷
|
2卷引用:江苏省镇江一中、大港、南三等八校2019-2020学年高三年级上学期调研数学试题
4 . 已知函数
.
求不等式
的解集;
若函数
的最小值为
,整数
、
满足
,求证
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbea50b9ee9088ba9c3b474a893fc52b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52b129b5d2d8cdcfea1264af1f3e45d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc713d4fc815eee685c381b88528f97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd56a22d0ebd2a79d681b80abd681c8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/293f26097d1b66b1a00b6ebf08746c6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](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/ab04de6651256f6281e9f4c1dc3c7955.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/194067e19bd8bb3d27299c072397b7b4.png)
您最近一年使用:0次
2017-12-10更新
|
386次组卷
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6卷引用:广西柳州高级中学、南宁市第二中学2018届高三上学期第二次联考数学(文)试题1
广西柳州高级中学、南宁市第二中学2018届高三上学期第二次联考数学(文)试题1广西柳州高级中学、南宁市第二中学2018届高三上学期第二次联考数学(文)试题2广西柳州高级中学、南宁市第二中学2018届高三上学期第二次联考数学(理)试题1广西柳州高级中学、南宁市第二中学2018届高三上学期第二次联考数学(理)试题2安徽省合肥市肥东县高级中学2020届高三下学期5月调研考试数学(文)试题(已下线)2017-2018学年第一学期期末复习备考之精准复习模拟题高三年级(文)人教版数学试题(B卷)