1 . 若实数
满足
,则称
比
远离
.
(1)若
比
远离1,求实数
的取值范围;
(2)若
,试问:
与
哪一个更远离
,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d32d4403d0e81eacfbe429dc51f07f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b782dd2de9c9caa840838cd63d817de.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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/384644d7bf34625fd3af5083436f5e25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29ebc856291255f2d4a6c20b982a2442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
解题方法
2 . 若实数
满足
,则称x比y远离m.
(1)解不等式![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d1f58b806a0de27d9ae9adc8a3ec87b.png)
(2)若
比
远离
,求实数x的取值范围;
(3)若
,
,试问:
与
哪一个更远离
,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e8a3ecc83be0bce799d728f0db009f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17d41b744a89e1a50c96ca75bf090830.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d1f58b806a0de27d9ae9adc8a3ec87b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/347c62b44fae618a37c145b3b5d1f1db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45900deae0489e87fe448948e8091c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29ebc856291255f2d4a6c20b982a2442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
3 . 已知
.
(1)试比较a与b的大小,并证明你的结论;
(2)求证:对任意正数x,y以a,b,c为三边可构成三角形的充要条件是
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eccdb75ef09710f647f0c63ebe14830.png)
(1)试比较a与b的大小,并证明你的结论;
(2)求证:对任意正数x,y以a,b,c为三边可构成三角形的充要条件是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7564582f840149d802de3adf3a1ae67b.png)
您最近一年使用:0次
名校
4 . 已知
.
(1)若函数
在
单调递减,求实数
的取值范围;
(2)令
,若存在
,使得
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6448fb8bc3bb2666ce99537370af2bde.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3163334392282974bc6161638c063df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed667e08886341dd52e4b128543d5b37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1531fcd63d2f76e9ce76bf276108c074.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e95621c29cd8922ebe5f2b79383f3fed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2017-03-06更新
|
1718次组卷
|
2卷引用:2016-2017学年重庆市巴蜀中学高一上学期期末考试数学试卷2
解题方法
5 . 已知数列
满足:
,
.
(1)求数列
的通项公式;
(2)若
,试比较
与
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3559bdc919fce302d4c7ca2dece39326.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74ba3f0402daf172fdc126010cf6c17e.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fff6e7e2b9f2b68b1647f6350b98dc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/090426eb29836bc30c006b3739c08057.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
您最近一年使用:0次
2016-12-04更新
|
786次组卷
|
3卷引用:2015-2016学年重庆市巴蜀中学高一下期中理科数学试卷
9-10高三·重庆·期中
名校
解题方法
6 . 设数列
的前
项和为
,对任意的正整数
,都有
成立,记
(
),
(1)求数列
的通项公式;
(2)记
(
),设数列
的前
和为
,求证:对任意正整数
,都有
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7b3ec1726461d5ad9c7e19004dff67c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e279470de7f4cf3e35cdefcf006bb76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1933b7c3ace69622339353431c519b13.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ee77bfceb2d1e15120ba31621f9c86a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1933b7c3ace69622339353431c519b13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ef8539a7a09303a95b4e79fb9949fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6828a1cf75f19bb74a0e0490bd65c168.png)
您最近一年使用:0次
2016-11-30更新
|
784次组卷
|
5卷引用:2011届重庆市西南师大附中高三期中考试理科数学卷
(已下线)2011届重庆市西南师大附中高三期中考试理科数学卷(已下线)2010-2011学年湖南省师大附中高一下学期期末考试(数学)(已下线)2013-2014学年广东省汕头市金山中学高一下学期期末考试数学试卷2016届安徽省六安市一中高三上学期第四次月考理科数学试卷福建省厦门六中2018-2019学年高二上学期期中考试数学(文科)试题
真题
解题方法
7 . 已知各项均为正数的数列{
}的前n项和满足
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2601e41c06e1603f21c7995b4bb7f051.png)
(1)求{
}的通项公式;
(2)设数列{
}满足
,并记
为{
}的前n项和,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9ab3ad3eab551995ffba49295b21247.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2601e41c06e1603f21c7995b4bb7f051.png)
(1)求{
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)设数列{
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a184a2c27de2c7e013dff54a9c9d657c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f87820fb0305b20e21e5f8579bcd673c.png)
您最近一年使用:0次
2016-11-30更新
|
2007次组卷
|
3卷引用:2007年普通高等学校招生全国统一考试理科数学卷(重庆)