名校
解题方法
1 . 已知函数
.
(1)求不等式
的解集;
(2)设函数
的最小值为m,当a,b,
,且
时,求
的最大值.
![](https://img.xkw.com/dksih/QBM/2020/3/9/2415737295060992/2416062545199104/STEM/34c49c58bd714133920bb56a98d7f14a.png?resizew=177)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4509817be39bef4bcde115996ee39e8.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ac49619543ace1f24754240fcf6cb09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d86be2de99fbf7f99cd54ab399146b00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e644e75022aa5372e81410c95f393b10.png)
您最近一年使用:0次
2020-03-09更新
|
991次组卷
|
15卷引用:【市级联考】吉林省长春市普通高中2019届高三质量检测(三)数学(理)试题
【市级联考】吉林省长春市普通高中2019届高三质量检测(三)数学(理)试题【市级联考】吉林省长春市普通高中2019届高三质量检测(三)数学(文科)试题【省级联考】东北三省四市2019届高三第一次模拟数学(文)试题【市级联考】东北三省四市2019届高三第一次模拟数学(理)试题1【市级联考】辽宁省大连市2019届高三第一次模拟考试数学(理)试题【市级联考】东北三省四市2019届高三第一次模拟数学(理)试题2【市级联考】东北三省四市2019届高三第一次模拟数学(文)试题江西省南昌市第二中学2019-2020学年高三第四次月考数学(文)试题2020届四川省泸县第一中学高三下学期第一次在线月考数学(理)试题2020届四川省泸县第一中学高三下学期第一次在线月考数学(文)试题河北省石家庄市第二中学(南校区)2019-2020学年高三下学期教学质量检测模拟数学(理)试题2020届湖南省长沙市长郡中学高三下学期4月第三次适应性考试数学(文)试题(已下线)理科数学-2020年高考押题预测卷03(新课标Ⅱ卷)《2020年高考押题预测卷》(已下线)文科数学-2020年高考押题预测卷03(新课标Ⅱ卷)《2020年高考押题预测卷》(已下线)专题23 不等式选讲-2020年高考数学(文)母题题源解密(全国Ⅲ专版)
2 . 已知函数
.
(1)求函数
在区间
上的最值;
(2)求证:
且
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd78609a8ee676b503340a7558a3669d.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/390c620c0fd4a2cd8622171bdaf05f5d.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/669ec52f272b84c2fae0e705d8994719.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba2be31d987108fba76dbca933b92d8c.png)
您最近一年使用:0次
2019-12-28更新
|
1214次组卷
|
2卷引用:吉林省长春六中、八中、十一中等省重点中学2019-2020学年高三12月联考数学(理)试题
名校
解题方法
3 . 已知点
都在直线
上,
为直线
与
轴的交点,数列
成等差数列,公差为1.
(1)求数列
,
的通项公式;
(2)若
问是否存在
,使得
成立?若存在,求出
的值;若不存在,说明理由.
(3)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fa6678f7e2bb62d299fcadfc082a336.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dace86986ffbf59a49b3f840e244e630.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91c8fe8bcfec71a51db8b18d90afd0c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46b6d151d3f864bae873987f6db9327a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2728edc41c63346445e24273842baba4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c6d5c4c0045d46891f119a405b50e6b.png)
您最近一年使用:0次
12-13高三上·吉林·期末
4 . 已知数列
的前
项和
,且
.
(1)求数列
的通项公式;
(2)已知定理:“若函数
在区间
上是凹函数,
,且
存在,则有
”.若且函数
在
上是凹函数,试判断
与
的大小;
(3)求证:
.
![](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/ca409be386d331e96ee1bf9e387f7b51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/340e5f81421c5214622a42a1f6ae1003.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)已知定理:“若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e122d4233c67cc9d8ce76e38404f582.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44a1ae60bd9a4901070ad5aed0766a7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb1bdde2f1e8604196cb7dc8a1acd944.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e95931effbd59c43e8ed1ea09962b84f.png)
(3)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24f469527f0a1faf217882d0d060b3e7.png)
您最近一年使用:0次
5 . 已知二次函数
(
、
、
均为实常数,
)的最小值是0,函数
的零点是
和
,函数
满足
,其中
,为常数.
(1)已知实数
、
满足、
,且
,试比较
与
的大小关系,并说明理由;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/331d5e308cd5469e0f28a8d75f79903f.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/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13d46a0b30bc7b90a38ce21bca97a4ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcac5b738cd5ea12f6d93e9c5fc6bcd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf4f277d11a202093539883ffeae4445.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ede9917272b0644b21c11eb04df27b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8e420fa6b63494d0f4e9591158a9a19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c972cbd63decec197aec1bdc306de67.png)
(1)已知实数
![](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/b4bd621648ec149b3ea206ff2acc5264.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73b02d1725ecfb1b08b26203a475c1e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22f0427915ac19bd2f9383d079b2a063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df1f6718b4be26dd3274eddbbdf7dd29.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3f97ff0489790f1f8a6b4b395092fb4.png)
您最近一年使用:0次
2019-11-14更新
|
158次组卷
|
4卷引用:吉林省延边第二中学2019-2020学年高二上学期12月月考数学(文)试题
吉林省延边第二中学2019-2020学年高二上学期12月月考数学(文)试题吉林省延边第二中学2019-2020学年高二上学期12月月考数学(理)试题(已下线)上海市华东师范大学第二附中2018-2019学年高三上学期期中数学试题河北省宣化第一中学2019-2020学年高二上学期12月月考数学试题
10-11高一下·吉林长春·期中
解题方法
6 . 已知数列
的前
项和为
,且对于任意
,都有
是
与
的等差中项,
(1)求证:
;
(2)求证:
.
![](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/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d637866200a82ea682bba7da5a9d9f6.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/456acf42591409e1b7dc6fe08f4672e4.png)
您最近一年使用:0次
7 . 已知函数
(
是自然对数的底数,
).
(I)证明:对
,不等式
恒成立;
(II)数列
的前
项和为
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/331d70266454df40256268b19b055a88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d218992d1942266d7208e476d0c4100.png)
(I)证明:对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c780149aef1bd77162e85f7f8906a6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04a6a4357fbdb4015810df156e1ed559.png)
(II)数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfbae2b0b08f55a23cea77f388381276.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/21a7305b8d7a0930e10b454e3a48bbd5.png)
您最近一年使用:0次
11-12高三下·浙江·阶段练习
8 . 设
,圆
:
与
轴正半轴的交点为
,与曲线
的交点为
,直线
与
轴的交点为
.
(1)用
表示
和
;
(2)求证:
;
(3)设
,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930bc56406e69b785b37a83d48e36724.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcc31dcdb99754fc452ff2b92a2fb8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b34f896988095b77687e2d076f2c2dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aef469c7b7cb9945b984222381b9c000.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b070df5084dc577a54cb709981f3a94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48b045709f0b627247ba171a07eb9425.png)
(1)用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15526f7c892333030073b85fc3baee6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b87de3864d9d0ce93638a99b87590f3b.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9158db048850992ae4cace688253bf4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8755e881abfcee243462d5daa5b32d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32e7a04098f5b165dbeb50969840e68f.png)
您最近一年使用:0次
2016-12-02更新
|
678次组卷
|
5卷引用:2012-2013学年吉林省吉林一中高二4月月考文科数学试卷
(已下线)2012-2013学年吉林省吉林一中高二4月月考文科数学试卷(已下线)2012届浙江省部分重点中学高三下学期2月联考理科数学2016届浙江省慈溪中学高三上学期期中理科数学试卷【全国校级联考】浙江省宁波市六校2017-2018学年高二下学期期末联考数学试题2019年浙江省新高考仿真演练卷(三)
9-10高二下·浙江杭州·期末
9 . 设
,则
与
的大小关系是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/367332abbf48a7aa2460b570a9aad937.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
您最近一年使用:0次
2016-12-01更新
|
984次组卷
|
5卷引用:吉林省白城市洮南市第一中学2019-2020学年高二期末考试数学(文科)试卷
吉林省白城市洮南市第一中学2019-2020学年高二期末考试数学(文科)试卷(已下线)浙江省杭州第十四中学09-10学年度高二下学期期末考试(文)(已下线)2011-2012学年四川省雅安中学高二下期中数学试卷专题11.7 不等式选讲(讲) -江苏版《2020年高考一轮复习讲练测》沪教版(上海) 高三年级 新高考辅导与训练 第二章 不等式 二、不等式证明