名校
解题方法
1 . 已知函数
.
(1)求证:
;
(2)若
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1af17a5abe1c3f8ce4d1d7a16ccc643f.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3a075dce77c9a6b964a8a3fc1ee6e8c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7561672145e37fe20547e2f24baff6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94b3abf6b51e5a7fe8899aef3500ac59.png)
您最近一年使用:0次
2023-09-05更新
|
93次组卷
|
4卷引用:安徽省安庆市第一中学2022届高三第三次模拟考试文科数学试题
解题方法
2 . 已知函数
.
(1)求证:在区间
上函数
的图象在函数
图象的下方;
(2)请你构造函数
,使函数
在定义域
上,存在两个极值点,并证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f886e44ef2d6fa7cec3cf0afb74ea9a.png)
(1)求证:在区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d6243e93c41978871cb23d8e66148d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02966b47f20fa9a0eef0c8839412c9a.png)
(2)请你构造函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce3570be50a8ded2a1382e725914a138.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
您最近一年使用:0次
名校
解题方法
3 . 在①
,②
,③
,这三个条件中选择一个,补充在下面问题中,并给出解答.如图,在五面体
中,已知 ,
,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/21/47d66193-d472-4a05-813a-c89c2a7e3d39.png?resizew=182)
(1)设平面
与平面
的交线为
,证明:
平面
;
(2)求证:平面
平面
;
(3)线段
上是否存在一点
,使得平面
与平面
夹角的余弦值等于
,若存在,求
的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30b0393ce62b24aa5f9b740d4cc6743b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfc1f76257275ab4b04f9bc913535670.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f57cb0d726cc25a350dc792b539ff2f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9142a8490de14a87eda628ffa7e28982.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a03a2548e3c09b3b52ad24b0892f10c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbf3b4a2f3fb035a2412258e52f2f954.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/21/47d66193-d472-4a05-813a-c89c2a7e3d39.png?resizew=182)
(1)设平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34be4e71cabf458f17a6cd7f24bc70af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23976db53f05b3d5d791c4d736a7184d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b9d54cbbf601f4583659771eb534997.png)
(2)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed5f0cfc1049f84a04c81bd213afb8d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
(3)线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03428a8f91a5674cb8f54766c165f7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20af148464904e21f4374cc8fb886fba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/293a2e244834864e78e93d8c13be6905.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72acf5ee54c89dede4358c61ecd7a101.png)
您最近一年使用:0次
名校
解题方法
4 . 记
的内角
所对的边分别为
,已知
.
(1)求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e717c243991f038d7bc21a0fdad985b.png)
(2)若
的面积
,求
的最大值,并证明:当
取最大值时,
为直角三角形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce7af7c5df749c6fa9bbe87faa72c66d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88f2599ca8b6b683e57a82699c8b1ebb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55abde5108e7846f496584016ce82286.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e717c243991f038d7bc21a0fdad985b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3a88d9c428cc72bdf012746e2781a64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2022-12-06更新
|
755次组卷
|
3卷引用:安徽省皖优联盟2022-2023学年高三上学期12月第二次阶段性联考数学试题
解题方法
5 . 已知各项均为正数的数列
、
满足
,
,且
,
,
成等差数列,
,
,
成等比数列.
(1)证明:数列
为等差数列;
(2)记
,且数列
的前
项和为
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86fc336b4a83bf6d66c4afcc431597f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/385275d29d8c8a7841eaeaa3dfab2cdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e95931effbd59c43e8ed1ea09962b84f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e95931effbd59c43e8ed1ea09962b84f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/090426eb29836bc30c006b3739c08057.png)
(1)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac3c908fff3de3f31eacff9e2ada4dc2.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01a7e265a92cb2d50eb4628be69668a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38ef4c4439b36c2847b0056a116d56d4.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/105de1b20942840a12712c6795a05e1b.png)
您最近一年使用:0次
2022-07-29更新
|
696次组卷
|
3卷引用:安徽省黄山市2021-2022学年高二下学期期末数学试题
安徽省黄山市2021-2022学年高二下学期期末数学试题浙江省金华十校2022-2023学年高二上学期期末联考模拟数学试题2(已下线)第四章 数列章末检测卷(二)-【帮课堂】2022-2023学年高二数学同步精品讲义(人教A版2019选择性必修第二册)
名校
解题方法
6 . 已知
均为正实数.
(1)设
,
,求证:
;
(2)若
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/333de134fb62d12d1b62f59bab55fbfb.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b74110bc818c2f5a53d63451c5251eb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/436a2732e9c9d5ce401c448cd9de80e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f663a586008ecff29abc4cba5948830.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0d957381a6902b4d7192f13043aa6a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/660ca2c4e0dc6e567c74066ea95aaeb6.png)
您最近一年使用:0次
2022-10-19更新
|
268次组卷
|
2卷引用:安徽省马鞍山市当涂第一中学2022-2023学年高一上学期11月第一次月考数学试题
名校
解题方法
7 . 证明下列不等式:
(1)已知
,求证![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99a737185eb85ca24cf66409ce1e09bc.png)
(2)已知
,求证
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2684b72f9f38f5046c8ecd4280b7b14b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99a737185eb85ca24cf66409ce1e09bc.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2684b72f9f38f5046c8ecd4280b7b14b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ead56bb8f5e7a72e9f8640e795caf68d.png)
您最近一年使用:0次
2022-10-08更新
|
244次组卷
|
2卷引用:安徽省六安市汇文中学、汇文学校2022-2023学年高一上学期第一次联考数学试题
名校
解题方法
8 . 已知函数
.
(1)求证:函数
在定义域上单调递增;
(2)设区间
(其中
),证明:存在实数
,使得函数
在区间I上总存在极值点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da85eb544f1b8ff532d4c2a3c8764d0f.png)
(1)求证:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)设区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e07062bde69560336def001c925eb7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acb9dfa7ecdfa37e643c51193a388836.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76d8047f0a8bd0cf4e250cd0fe80093b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bbd86a6b6493a67696125835eea5f76.png)
您最近一年使用:0次
解题方法
9 . 在四棱锥
中,底面
为平行四边形,
平面
,
,设平面
与平面
的公共直线为l.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/10/0b73214c-947c-4d7d-90a7-598e26d90aef.png?resizew=202)
(1)写出图中与l平行的直线,并证明;
(2)求证:平面
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebfcf34539673d516eb9b259951a81ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2ffc6952e988d04f22f0fb2f7f0ab7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f526e2fe627bb4ddebe708c07d0a22fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f59502f452fb6a290484608e65a412df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f526e2fe627bb4ddebe708c07d0a22fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49cfd630472bc73bd8c2209376dbe9d1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/10/0b73214c-947c-4d7d-90a7-598e26d90aef.png?resizew=202)
(1)写出图中与l平行的直线,并证明;
(2)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00acc724bbb4569974d4775675a6fda3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af57d63e83ef0e183add10cd6beec65b.png)
您最近一年使用:0次
名校
解题方法
10 . 已知函数
的定义域是
,对定义域的任意
都有
,且当
时,
,
;
(1)求证:
;
(2)试判断
在
的单调性并用定义证明你的结论;
(3)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/938308ceead1a6a87920b457f4646f8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/309c99d0acad93706ab168d1f9c584bb.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c23eb89094be66dc8b8711e5fdb58a4.png)
(2)试判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
(3)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d0a60c52390a20157e60f33c93f75bc.png)
您最近一年使用:0次
2022-04-08更新
|
1892次组卷
|
5卷引用:安徽省合肥市第一中学2022-2023学年高一上学期期中教学质量检测数学试题
安徽省合肥市第一中学2022-2023学年高一上学期期中教学质量检测数学试题(已下线)第14讲 函数的单调性-【暑假自学课】2022年新高一数学暑假精品课(苏教版2019必修第一册)单调性与最大(小)值黑龙江省绥化市第一中学2020-2021学年高一上学期期中考试数学试题广西壮族自治区玉林市博白县中学2023-2024学年高一上学期12月月考数学试题