名校
解题方法
1 . 关于
的方程
恰有两个根为
、
,且
、
分别满足
和
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/675718c3a115076bbd5d8c0235e3fddf.png)
________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0b22d47e4664c5e9a8314e75211a124.png)
![](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/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edd54f568930d6444f77c5088dddc50c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c6d6fe36bb61178084de30f96fa8378.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/675718c3a115076bbd5d8c0235e3fddf.png)
您最近一年使用:0次
名校
2 . 当x∈R,|x|<1时,有如下表达式:1+x+x2+•••+xn+•••=![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91ccc91de52641ad13f3ba1711e8b5e6.png)
两边同时积分得:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07c2f1ae6abfc7d958c384e3a2e5f09.png)
从而得到如下等式:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49cb6e5e022e3ae5fc66bf17fe808979.png)
请根据以上材料所蕴含的数学思想方法,
由二项式定理Cn0+Cn1x+Cn2x2+•••+Cnnxn=(1+x)n计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd9a15ea14bfea46488e1053d87c2bc8.png)
__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91ccc91de52641ad13f3ba1711e8b5e6.png)
两边同时积分得:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07c2f1ae6abfc7d958c384e3a2e5f09.png)
从而得到如下等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49cb6e5e022e3ae5fc66bf17fe808979.png)
请根据以上材料所蕴含的数学思想方法,
由二项式定理Cn0+Cn1x+Cn2x2+•••+Cnnxn=(1+x)n计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd9a15ea14bfea46488e1053d87c2bc8.png)
您最近一年使用:0次
2018-11-15更新
|
688次组卷
|
3卷引用:【全国百强校】山东省日照一中2019届高三上学期第二次质量达标检测数学(理)试题
名校
3 . 设二次函数
(
为实常数)的导函数为
,若对任意
不等式
恒成立,则
的最大值为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/331d5e308cd5469e0f28a8d75f79903f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/509965e5a53579b9cc31245ed14274de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0725b62bfc941e064258af9bafa19f02.png)
您最近一年使用:0次
2019-04-16更新
|
1099次组卷
|
8卷引用:江苏省泰州中学2018届高三10月月考数学(理)试题
江苏省泰州中学2018届高三10月月考数学(理)试题湖南省长沙市第一中学2017届高三高考模拟卷一理科数学(已下线)《2018届优等生百日闯关系列》【江苏版】专题一 第三关 以多参数为背景的填空题【全国百强校】北京师范大学附属实验中学2019届高三3月高考模拟试卷(一)数学(理科)试题(已下线)专题2.4 幂函数与二次函数(练)-江苏版《2020年高考一轮复习讲练测》(已下线)专题7.1 不等式的性质及一元二次不等式(练)-江苏版《2020年高考一轮复习讲练测》【全国百强校】江苏省海安高级中学2018-2019学年高一下学期期中考试数学试题1【全国百强校】江苏省海安高级中学2018-2019学年高一下学期期中考试数学试题4
名校
4 . 若函数
满足:①
的图象是中心对称图形;②若
时,
图象上的点到其对称中心的距离不超过一个正数
,则称
是区间
上的“
对称函数”.若函数
是区间
上的“
对称函数”,则实数
的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02cab1add26335b3cb43d5b54c7c853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a19e03b5a8fb17240de3152ab9ffa5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cd24da2f3276341a8e5f6d2e8690402.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ade9841a8e6840efddcfd8620a6fc1fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2018-12-29更新
|
289次组卷
|
3卷引用:【全国百强校】山东省枣庄市第三中学新城校区2019届高三12月月考数学(文)试题
名校
5 . 对于函数
,若存在
,使
,则称点
是曲线
的“优美点”,已知
,若曲线
存在“优美点”,则实数
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c7028a5fa4d781d382ca3b73b74796e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5cbf1211335bcbc0ebb05414669eda0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/802f4326f9439ae4d897cc37f26c3294.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4dbf098c750fa736e6a6d392fafb5d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b04b789e0b60306caa90e752198ab82f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2014·北京西城·二模
名校
6 . 设
为平面直角坐标系xOy中的点集,从
中的任意一点P作x轴、y轴的垂线,垂足分别为M,N,记点M的横坐标的最大值与最小值之差为x(
),点N的纵坐标的最大值与最小值之差为y(
).若
是边长为1的正方形,给出下列三个结论:
①x(Q)的最大值为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7881094ce2f907c3aaf664318ecd3e2d.png)
②x(Q)+y(Q)的取值范围是
③x(Q)-y(Q)恒等于0.
其中所有正确结论的序号是_________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
①x(Q)的最大值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7881094ce2f907c3aaf664318ecd3e2d.png)
②x(Q)+y(Q)的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d89d3cb58df77b34628cc290b2c91fbb.png)
③x(Q)-y(Q)恒等于0.
其中所有正确结论的序号是
您最近一年使用:0次
2019-12-11更新
|
425次组卷
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6卷引用:2014届北京市西城区高三数学二模理科数学试卷
(已下线)2014届北京市西城区高三数学二模理科数学试卷(已下线)2014届北京四中高三数学二模理科数学试卷北京市西城区第八中学2019-2020学年高三上学期期中数学试题2020届北京市八一学校高三第一学期高三10月月考数学(理科) 试题北京市中关村中学2021届高三十月月考测试数学试题北京市第四十四中学2022届高三上学期开学测试数学试题
名校
解题方法
7 . 已知函数
,
,
均为一次函数,若实数
满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e03b083876c70203065c54957cc54bb.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd330acca8e17f5ff9aca1f0f312df50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff6c8b2a543df633d7ec8a3bd3c1ebb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f964ded2a6ee8b239cf18eae7aa6b977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e03b083876c70203065c54957cc54bb.png)
您最近一年使用:0次
2018-09-05更新
|
444次组卷
|
3卷引用:【全国百强校】浙江省台州中学2018届高三模拟考试数学试题
名校
8 . 设
表示正整数
的所有因数中最大的奇数与最小的奇数的等差中项,数列
的前
项和为
,那么
的值为_________ .
![](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/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/b3505e1c60ee386b67c2ff40673ae52c.png)
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9 . 若函数
图象的对称中心为
,记函数
的导函数为
,则有
,设函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/206bfc32c236573f555b684afb722948.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cfe96abb2424379059cf1a0c2c4217f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f70ccb86c1d6ce17d0e0354afe1e4403.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e08554a10bc205d289d3359068ef030e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789c5a8a2fb3b6c4951b762aab04606.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/206bfc32c236573f555b684afb722948.png)
您最近一年使用:0次
2018-11-15更新
|
1202次组卷
|
6卷引用:2020届四川省绵阳市三台中学实验学校高三入学考试数学(文)试题
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10 . 对于函数
,若存在区间
,当
时,
的值域为
,则称
为
倍值函数.下列函数为2倍值函数的是__________ (填上所有正确的序号).
①
②![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ec63fee3cbb9137686d29194f3f491.png)
③
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4776c85b79df196f606d3ebf3697fbc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70128385b9ab66ac44614af35a0dcdce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25d078ac5689d10dd91835c2b2426bea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/318a16f1950d06e5500c76d8f81a507f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ec63fee3cbb9137686d29194f3f491.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21d813266142d4ee0c6ffd7d1ef1611a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cae9174bb27aac8686e477710499639b.png)
您最近一年使用:0次
2018-07-15更新
|
604次组卷
|
4卷引用:2020届黑龙江省哈尔滨市第三中学高三综合题(三)数学(文)试题