1 . 设正整数
,且满足
,
={98,183,37,122,14,124,65,y},对于给定的x,y,记
为
的最小值,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fee5f4c22851841800db924b442b8152.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58004e1a88a606c01d1725fe53d8163d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eed7768749d799ed7f2a99dcff0cddcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b09ce783d4a9b49285ae00d72ea5dd63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa0b7b6798e3f3a96d832c224aa191f9.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
2 . 若向量
满足
,则
的最大值是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0efdaa8008b9c3759465bea0c2a388c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e278fc2cf207dd6152c4e1cde076e8c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/088d43ece77c828188ef333570b55b4b.png)
您最近一年使用:0次
3 . 已知平面向量
,
,
满足
,
.若
,则
的最大值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb573cc0f30d5c32cdad1510793f0e7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/595e58f64c5694b954da5a0eed107a71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7753ff49e30ff625b37cc2e7590a0cb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af1e43c20b707ef973fa82222e220e52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3479bb706e42358008f712fd488c02c5.png)
您最近一年使用:0次
4 . 已知定义在R上的函数
的图象是一条连续不断的曲线,且在任意区间上
不是常值函数.设
,其中分点
将区间
分成
个小区间
,记
称为
关于区间
的n阶划分的“落差总和”.当
取得最大值且n取得最小值
时,称
存在“最佳划分”
.
(1)已知
,求
的最大值
(不必论证);
(2)已知
,求证:
在区间
上存在“最佳划分”
的充要条件是
在区间
上单调递增.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2775ffdf695af2d263f0ea93ac5904.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2775ffdf695af2d263f0ea93ac5904.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46bba6c64cf0ba9cf41d820c1f4a6739.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0402967f2c4db0692f713303c06f93f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4776c85b79df196f606d3ebf3697fbc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098afe75dd67aa4c2d1f0b6616c4c1ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5810d8724bf005247c3a75a756468c3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86e8b12a48ff6d675c67b843132522bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2775ffdf695af2d263f0ea93ac5904.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4776c85b79df196f606d3ebf3697fbc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce5d760f3a7148a9cd0413eb3867b4ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d7e9f86738335a22298559db41037a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2775ffdf695af2d263f0ea93ac5904.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd8653b2a0f72f531e24ea1368f91b20.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42ef85125cb753352d02781b621ac3b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/514d3e0c59cbfec0a877ec5d13069cb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fb44db1dc864ff4901be1e10da79747.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f6678ae99d8fe18fe615993bf3ad70c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2775ffdf695af2d263f0ea93ac5904.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4776c85b79df196f606d3ebf3697fbc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f4b6c4fb400d835efe1f10e67d005ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2775ffdf695af2d263f0ea93ac5904.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4776c85b79df196f606d3ebf3697fbc3.png)
您最近一年使用:0次
5 . 若不等式
对于
,
上恒成立,则
的最大值是__ ,若
对于
,
上恒成立,则
的最大值是__ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e6cee1ba235db8c1ce76c3eb55bbfe3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/837c6667703301c00e24bf589fa36c92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ad04b9df1032e5d2953e45d238da08d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a343d47de28db5748a6f0a8c6f4715d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e6cee1ba235db8c1ce76c3eb55bbfe3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b8794392226135e30dd0bbc84e253bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ad04b9df1032e5d2953e45d238da08d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c80587db89817c17a46bd0ebd93b87a.png)
您最近一年使用:0次
2020-09-25更新
|
543次组卷
|
3卷引用:浙江省浙北四校2020届高三下学期二模数学试题
6 . 已知函数
,当
时,
的最大值为
,则
的最小值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b869a4d4557c11784e24c3b0a166f8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/365114c53aa12abda1004c8e4cb4ca0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2d6bb01f1044358cc5fee441bc62489.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2d6bb01f1044358cc5fee441bc62489.png)
您最近一年使用:0次
7 . 设
,若
,
,
,则
的值不可能为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8d7ed6f4b0e08cd887d2fdc2a5e37e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36c8cef5386fbe3367564f9ebbc811cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/897f9f5f44fe210d22abe4cbe719847d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6de87cccecadfae19f11358010521f96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95900d6a37046c1c8b4b93e86a482378.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
8 . 已知函数
.当
,
的最大值为
,则
的最小值为______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f20d5def8c525c6d855c4b0816cb09f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790daaa89fc9d093f45023becf765697.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2d6bb01f1044358cc5fee441bc62489.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2d6bb01f1044358cc5fee441bc62489.png)
您最近一年使用:0次
2020-05-25更新
|
737次组卷
|
3卷引用:2020届浙江省杭州市高三下学期教学质量检测数学试题
9 . 已知函数
,
,函数
,记
.把函数
的最大值
称为函数
的“线性拟合度”.
(1)设函数
,
,
,求此时函数
的“线性拟合度”
;
(2)若函数
,
的值域为
(
),
,求证:
;
(3)设
,
,求
的值,使得函数
的“线性拟合度”
最小,并求出
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1adbb025e3b6634c2f5e1a40889d9604.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/689a2fa2ec3e37c5acf786658697b8a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/311cff9a7159c55c44aa8be7a28bfc8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(1)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ced7931e3e2e2bb9dc6d38c822c9453.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a10f45674432012334770166a3df28fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/914cb6f0947d79aa0805aafcf8bac008.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1adbb025e3b6634c2f5e1a40889d9604.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34094c493719582b4020ccb9599b374b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb7961cbe98aac6a5fdee94582c341b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3a4cb45ca6e42ced4a5c4026e2290f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88cdc21c30123b045d389610607a5b7d.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/771003aed4d4b3b7d25ef8c4eb178b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a10f45674432012334770166a3df28fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
您最近一年使用:0次
名校
10 . 已知
是定义在
上的函数,记
,
的最大值为
.若存在
,满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a3572457f6eb45b5d49138da4cd0d7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ec65b538f7ba2d5f636623ee85955e2.png)
,则称一次函数
是
的“逼近函数”,此时的
称为
在
上的“逼近确界”.
(1)验证:
是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fc04a40b5a7fd2504316a164190beeb.png)
的“逼近函数”;
(2)已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f906bab9959325ca0d2dd54b57786bb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef7a3dbf513ce40befb25a801e6cf7a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7316f2f1cf67a610e31adfa12ef50d6d.png)
.若
是
的“逼近函数”,求
的值;
(3)已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f906bab9959325ca0d2dd54b57786bb0.png)
的逼近确界为
,求证:对任意常数
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db527571cfd256c515424c6f9d114284.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1291ecd1ed0c05219d47f05fb585bd52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90cd32efb968fbe9782f556ba6e5ae99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6d8a4cf957865fad1cb648fcd2cbaa0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da3b73875f5ded5e57738d7575f085b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a3572457f6eb45b5d49138da4cd0d7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ec65b538f7ba2d5f636623ee85955e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bfa3b19dbc87544ec8e57606cb067d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e136e7637543c8ae92c8dcd55b31924.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6d8a4cf957865fad1cb648fcd2cbaa0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db527571cfd256c515424c6f9d114284.png)
(1)验证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b4b0eba587d0af5c665a8f909df5104.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fc04a40b5a7fd2504316a164190beeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fbb01a7f5e9861aa185c6c63fcd58c0.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f906bab9959325ca0d2dd54b57786bb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef7a3dbf513ce40befb25a801e6cf7a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7316f2f1cf67a610e31adfa12ef50d6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/106e346ccfc716b38eba9e2404a5ea8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e136e7637543c8ae92c8dcd55b31924.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f906bab9959325ca0d2dd54b57786bb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc868a2077000982bd4594d95cfc351.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d266a04f3dc7483eddbc26c5e487db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ba58ee96c397a0e865e5ec333a664bb.png)
您最近一年使用:0次
2020-01-30更新
|
330次组卷
|
5卷引用:2017届上海市浦东新区高考三模数学试题
2017届上海市浦东新区高考三模数学试题2017届上海市浦东新区高三下学期5月练习数学试题上海市川沙中学2021-2022学年高二下学期期末数学试题(已下线)上海高二下学期期末真题精选(压轴60题35个考点专练)-【满分全攻略】2022-2023学年高二数学下学期核心考点+重难点讲练与测试(沪教版2020选修一+选修二)上海市南汇中学2024届高三上学期期中数学试题