解题方法
1 . 王者荣耀是一款风靡全国的MOBA手游,其中上官婉儿的连招“2133333”能画出一个五边形,体现数学之美.如图所示,凸五边形ABCDE,
,△BDE是以BD为斜边的等腰直角三角形,若△ABE是以BE为斜边的等腰直角三角形,P在线段BD上运动,则tan∠APE的取值范围是____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639175b74300dc8bf931899f4a3545e1.png)
您最近一年使用:0次
2020-07-24更新
|
2205次组卷
|
5卷引用:浙江省2020届高三新高考模拟试题心态卷数学试题
浙江省2020届高三新高考模拟试题心态卷数学试题浙江省温州市瑞安市上海新纪元高级中学2019-2020学年高一(内部)下学期期末数学(1)试题福建泉州科技中学2020-2021学年高二年第一学期第一次月考数学试题(已下线)压轴小题14 定角类解三角形问题(已下线)高一数学下学期期末精选50题(压轴版)-2021-2022学年高一数学考试满分全攻略(人教A版2019必修第二册)
解题方法
2 . 函数
,若方程
有三个根,且
是
和
的等差中项,则a=___ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b4d6430ecef696455ae7de30a50fffe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a3bc83c74212c8a4f81963d4972fc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e010ae1e3a31fe1008d7ba1238cc832.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
您最近一年使用:0次
2020-07-24更新
|
1448次组卷
|
2卷引用:浙江省2020届高三新高考模拟试题心态卷数学试题
解题方法
3 . 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
4 . 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)
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解题方法
5 . 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
6 . 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
7 . 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
|
1427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
8 . 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
9 . 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:浙江省绍兴市柯桥区鲁迅中学2019-2020学年高二下学期期中数学试题
名校
10 . 已知函数
,其导函数为
.
(1)讨论函数
在定义域内的单调性;
(2)已知
,设函数
.
①证明:函数
在
上存在唯一极值点
;
②在①的条件下,当
时,求
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52c79728eda595218be2154adf12590b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3740ce51fa1ac918d51ffd5e5725ce70.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4db313896b6c71da7e26673caf359654.png)
①证明:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab5e0524def52baf53480b8726784ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
②在①的条件下,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ffe2de7c50324b59c93f9f85acadd5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d132b0451d85491efaf9ea293b88745.png)
您最近一年使用:0次
2020-07-11更新
|
469次组卷
|
3卷引用:黑龙江省哈尔滨师范大学附属中学2020届高三6月复课线下考查数学(理)试题
黑龙江省哈尔滨师范大学附属中学2020届高三6月复课线下考查数学(理)试题黑龙江省哈尔滨市第六中学2022-2023学年高三上学期8月月考数学试题(已下线)山东省青岛第二中学2022-2023学年高三上学期1月期末测试数学试题变式题17-22