名校
解题方法
1 . 已知函数
满足:①对任意
,都有
;②函数
的图象关于点
对称.若实数a,b满足
,则当
时,
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/396a1e488ef539bb911acd5b07d130b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/717a1efcded39ade5c5e98eeb21013e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99ca0904d12f8dc4b3956645ae3ae2f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd243fab0af865af67a2ab817e909cf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7f26e0d781b64e7a75d9240de930e5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2143a6cfd3526c4f5795328baa51b0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aefd09f80733a8c98bd8c51905d15fe5.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-07-23更新
|
1698次组卷
|
6卷引用:2020届河北省衡水中学高三临考模拟(一)数学(文)试题
2020届河北省衡水中学高三临考模拟(一)数学(文)试题(已下线) 专题14 基本初等函数中含有参数问题(讲)-2021年高三数学二轮复习讲练测(新高考版)(已下线)2021年高三数学二轮复习讲练测之讲案 专题十六 基本初等函数中含有参数问题(文理通用)(已下线)专题7-1 线性规划归类-2022年高考数学毕业班二轮热点题型归纳与变式演练(全国通用)湖北省武汉市江汉区2022-2023学年高一上学期期中模拟数学试题湖北省武汉市江汉区2022-2023学年高一上学期期中数学试题
解题方法
2 . 已知函数
的最小值为2.
(1)求a的值以及f(x)的单调区间;
(2)设
,n∈N*,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce55a06cc9a35535da04ae52eb31e463.png)
(1)求a的值以及f(x)的单调区间;
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6ff5cb0a1f5ad74e711bd8883988a0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1278f778598dd2db64cdcd8120bfb87.png)
您最近一年使用:0次
2020-07-23更新
|
1967次组卷
|
7卷引用:河南省新乡市2020届高三年级第三次模拟考试数学(文科)试题
河南省新乡市2020届高三年级第三次模拟考试数学(文科)试题河南省新乡市2020届高三高考数学(文科)三模试题2020年普通高等学校招生全国1卷高考模拟大联考数学(文科)试题河南省部分重点高中2019-2020学年度高三高考适应性考试数学文科(已下线)专题22数列求和方法的求解策略解题模板(已下线)专题15 函数、数列、三角函数中大小比较问题(测)-2021年高三数学二轮复习讲练测(新高考版)(已下线)2021年高三数学二轮复习讲练测之测案 专题十七 函数、数列、三角函数中大小比较问题(文理通用)
解题方法
3 . 已知椭圆
的左、右焦点分别为
、
,直线
与椭圆
交于
、
两点,
,
为椭圆
上任意一点,且
的最大值为
.
(1)求椭圆
的方程;
(2)过椭圆
的上顶点
作两条不同的直线,分别交椭圆
于另一点
和
(异于
),若直线
、
的斜率之和为
,证明直线
恒过定点,并求出定点的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c16eafcd77c758af3534886b1c8e365.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/81ea0e7989a2709fdd0e9f89f9946d70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e3df14e8b1b02dbda69bfbb06269cbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c748e40ba21ac5063d3bccaa57ef278.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5845ffc7d1af9053b027cf9e726f5367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3171b3d11c6f4619e189677345357508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8c4c029e552954bd493b49aeab82d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
您最近一年使用:0次
解题方法
4 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5220c1d29955df47343122a463c46a92.png)
(1)若函数
区间
上存在极值点,求实数
的取值范围;
(2)当
时,不等式
,恒成立,求实数
的取值范围;
(3)求证:
(
,
为自然对数的底数,
……).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5220c1d29955df47343122a463c46a92.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5898e7d08ab9c447f45bc315176f6cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2fb40a36a293471742ce75f6b9635b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bf0aab66798e1f60dc23c693c14e5a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f906a6300ee7f37065d38c53f259df3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9405dfcca25b76af059fb4c308983eae.png)
您最近一年使用:0次
解题方法
5 . 已知数列
的通项公式
,
.设
,
,...,
(其中
,
)成等差数列.
(1)若
.
①当
,
,
为连续正整数时,求
的值;
②当
时,求证:
为定值;
(2)求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e59efda76f4efc2abd2c912495643a99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/718becd70c94d6876d6e33d6dcd476c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdc291ae9071d0d3ebde20a1cd507577.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0de7e144aac0a2af66d7abfbb3d1da4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3c5b4de1ea4b841ba07d3bc12cb0dd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68efb961550a83f5a52a4fd16917d27c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66884efff7400f92b530d69d029778d.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27c44826e58f11a58d3a6c233fc5df2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/215b1424b299b737554386b090af8316.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70f2244d643d2393618288de6c13e6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27c44826e58f11a58d3a6c233fc5df2d.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fa76688cca7aa76df079c62409ac30e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31ea4c578d6489e453a543ead5f7d347.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
6 . 设
(
,
).
(1)若展开式中第5项与第7项的系数之比为3∶8,求k的值;
(2)设
(
),且各项系数
,
,
,…,
互不相同.现把这
个不同系数随机排成一个三角形数阵:第1列1个数,第2列2个数,…,第n列n个数.设
是第i列中的最小数,其中
,且i,
.记
的概率为
.求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40e015379cb6580f4412dcf1fdfdc3ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c972cbd63decec197aec1bdc306de67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46b6d151d3f864bae873987f6db9327a.png)
(1)若展开式中第5项与第7项的系数之比为3∶8,求k的值;
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dbc79bfe1e18890b15a0f211b3da6dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f35f7dcce39f3d4dc6b7faf84dc1d0a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f255d0395fba51ca2d44293cca42e0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b00f4eb7f1bd2ccefbabf0c1dfa8f69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e90c998886b1483221a5b4941f6e874c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ef835c9ad2636a9662fb6c99e3abc78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b300326e522dc458655079b5dcd0a05f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf83e20035c3afd6d26ebfd53d768a70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d02d6bfc8f3e1c661ba2732a00a6352.png)
您最近一年使用:0次
2020-07-15更新
|
1426次组卷
|
4卷引用:江苏省南通市2020届高三下学期第四次调研测试数学试题
江苏省南通市2020届高三下学期第四次调研测试数学试题江苏省苏州市常熟中学2020届高三下学期校内适应性考试数学试题(已下线)专题9-1 概率与统计及分布列归类(理)(讲+练)-2黑龙江省哈尔滨市第三中学2021-2022学年高二上学期10月月考数学试题
名校
解题方法
7 . 已知函数
.
(1)若
且
,求
的单调区间;
(2)若
在
处取得最大值,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edea43d45e33c7760e7613ef8f8adf80.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92acace17d43431c5d414cdc3b624fe2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6393f6adbb2eeef1080425f58441cb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
8 . 已知函数
.
(1)当
时,求函数
在点
处的切线方程.
(2)若
对任意的
恒成立,求
的值.
(3)在(2)的条件下,记
,证明:
存在唯一的极大值点
,且
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b77ba7d2fd83543ff795ba95a2668b3.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5265d99095b635f62c7915298ec0e963.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff7d632e9ddb7d9857b073978f8314ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)在(2)的条件下,记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2948d1f0476a537e7150e8a8b0d3a421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4df5ea5aebfb463f9e08de0c32c1c739.png)
您最近一年使用:0次
2020-07-11更新
|
708次组卷
|
3卷引用:山东省滨州市邹平市第一中学2023届高三5月数学模拟试题
名校
解题方法
9 . 若对任意
,不等式
恒成立,则实数a的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cc4136bd17997e11a7f8abcb19f9018.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7da997e8c79d3626bd696cb3a684370.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-07-11更新
|
2186次组卷
|
8卷引用:黑龙江省哈尔滨师范大学附属中学2020届高三下学期第三次模拟数学(理)试题
黑龙江省哈尔滨师范大学附属中学2020届高三下学期第三次模拟数学(理)试题东北三省三校(哈师大附中、东北师大附中、辽宁省实验中学)2020届高三高考数学(理科)三模试题湖北省襄阳市第五中学2024届高三第三次适应性测试数学试题(已下线)专题3-4 超难压轴小题:导数和函数归类(1)-2022年高考数学毕业班二轮热点题型归纳与变式演练(全国通用)(已下线)专题08 导数与函数综合压轴(选填题)-2(已下线)专题2-5 函数与导数压轴小题归类-1(已下线)专题07 《导数及其应用》中的最值问题-2021-2022学年高二数学同步培优训练系列(苏教版2019选择性必修第一册) 江苏省连云港市2021-2022学年高一上学期期末调研数学试题(4)
10 . 已知数列
是首项为1的等差数列,数列
是公比不为1的等比数列,且满足
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dbe8fa82ab04f0a4ba4ad1c570c9aa1.png)
(1)求数列
,
的通项公式;
(2)令
,记数列
的前n项和为
,求证:对任意的
,都有
;
(3)若数列
满足
,
,记
,是否存在整数
,使得对任意的
都有
成立?若存在,求出
的值;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/606e55241a2e145d54849129b8ffd20f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039271f3111b0e21bc1282fcc22cf016.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84672a737e1ba65228ffd2f0064a8c9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40751e69baead4a0d5bea384aedfa6c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dbe8fa82ab04f0a4ba4ad1c570c9aa1.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/606e55241a2e145d54849129b8ffd20f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039271f3111b0e21bc1282fcc22cf016.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c442b01e6f3190aa64b3cb1810212a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38ef4c4439b36c2847b0056a116d56d4.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/082dd35c1eebe15ec8d8b060f28cfd98.png)
(3)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d813f3ca8db41a4db6c18eac30fef98.png)
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2020-07-09更新
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2卷引用:江苏省泰州中学2020届高三下学期第五次模拟考试数学试题