1 . 定义方程
的实数根
叫做函数
的“新驻点”.
(1)设
,则
在
上的“新驻点”为_____ .
(2)如果函数
与
的“新驻点”分别为
、
,那么
和
的大小关系是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35679c97cf16aa592343787a756c7c75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c410d77654ba5d20a0061e6e01473a87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71163f419555f2ed76075c8ff659fbfc.png)
(2)如果函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd685585c6c06d17688ae9abbea26ef1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d2fbc94070fcd25c339611a7c5fc788.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
您最近一年使用:0次
2024-04-12更新
|
206次组卷
|
2卷引用:四川省达州市万源市万源中学2023-2024学年高二下学期4月月考数学试题
名校
解题方法
2 . 已知函数
.①若
,则a的值为______ .
②若不等式
对任意
都成立,则实数a的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b51e6c2069fcad18659cad364ffe9f15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93d8379ce4b10175fb00d01186980ffd.png)
②若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00f78bc5234bf294884a2f5465ad2ff3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
您最近一年使用:0次
2022-11-15更新
|
245次组卷
|
2卷引用:四川省达州市万源中学2023-2024学年高一上学期12月月考数学试题
名校
解题方法
3 . 某公司售卖某件产品的标准为每个代理商每月购买少于1000吨,每吨10元,每月购买不少于1000吨,每吨7元.已知甲、乙两代理商该月一共购买了2000吨,设甲购买了
吨,甲、乙两代理商购买产品共花费了
元,则
关于
的函数为______ ,若甲、乙两代理商购买产品共花费了14000元,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb3b521c359d5a9b04b004b3a2ee267a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
您最近一年使用:0次
2022-11-04更新
|
161次组卷
|
5卷引用:四川省峨眉第二中学校2022-2023学年高一上学期11月月考数学试题
四川省峨眉第二中学校2022-2023学年高一上学期11月月考数学试题福建省仙游县枫亭中学2022-2023学年高一上学期10月月考数学试题河南省豫南名校2022-2023学年高一上学期期中联考数学试题(已下线)第13讲函数的应用(二)(5大考点)(1)(已下线)重难点03函数(15种解题模型与方法)(2)
名校
解题方法
4 . 对
,
表示不超过x的最大整数.十八世纪,
被“数学王子”高斯采用,因此得名为高斯函数,人们更习惯称之为“取整函数”.例如:
,
.对任意实数x,令
,
,进一步令
.
(1)若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/353812581c743c7f264fc9de12f9ef79.png)
______ ;
(2)若
,
同时满足,则x的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ad5fe274cfc8da2dacfb65801f344ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7179c645736d68c90023f83d7f11ed01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797715acd30d07aabbed52bd10b234e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2a6c086cd67c729ec094c21c0d45a5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b68a5ab679a821f2946504322b8ad201.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90aa0e5570bf4537beb04ea0a43d4928.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24511ec05889083dc061247188d27644.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91ab3398c49fe2c426dea5ee5360b548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/353812581c743c7f264fc9de12f9ef79.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0001eeed6d8da4c2b51f7f8bf8c181e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6de0cf78f2ad33125510a35f0b3a2192.png)
您最近一年使用:0次
名校
解题方法
5 . 在
的展开式中,含
的系数是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e077d2a31db1bbb1bce4b4ed30bbb03.png)
_______ ;若对任意的
,
恒成立,则实数λ的最小值是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8b3be7745145925ed19852ca494bc67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0a89e3c30f6e4d4c5db4378b05d987.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e077d2a31db1bbb1bce4b4ed30bbb03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e97769855336d73371930df1f187875e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1158ea0ddaf056c22bd3675424a9d794.png)
您最近一年使用:0次
2022-03-08更新
|
369次组卷
|
5卷引用:四川省绵阳中学2023届高三上学期综合质量检测数学试题
6 . 已知函数
.则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb0820c9733e8c613b490c1d40a7f9e4.png)
________ ;不等式
的解集是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79c7e5774fb773c49f8b362a7300b3f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb0820c9733e8c613b490c1d40a7f9e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e7e80073a2e9b1bfef7e7b270239725.png)
您最近一年使用:0次
名校
解题方法
7 . 已知函数
(x∈[2,6])则f(x)的最大值为___________ ,最小值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bcc6436de66b3254001d1859b3f7d70.png)
您最近一年使用:0次
名校
8 . 在数列
中,
,
为
的前
项和.关于
的方程
有唯一的解.
则(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
________ ;
(2)若不等式
对任意的
恒成立,则实数
的取值范围为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e0a142c2928a1b81f7d72f703fee66a.png)
则(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acd5dce3936b0f0eabdc15913a0d835d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2020-12-27更新
|
471次组卷
|
2卷引用:四川省乐山市2020-2021学年高三上学期第一次调查研究考试理科数学试试题
名校
解题方法
9 . 已知
,函数
.①若
,则
之值为___________ ;②若不等式
对任意
都成立,则
的取值范围是___________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90a88f4f975ccd86a5ed635cfebf6975.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a089bbc48a1539b3cc52614ae6cdaf37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02d6d352c07ed3d04873a19b32fe562a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2020-05-08更新
|
1026次组卷
|
7卷引用:四川省成都市第七中学2019-2020学年高一上学期期末热身考试数学试题
名校
解题方法
10 . 已知
,函数
①若
,则
的值为__________ .
②若不等式
对任意
都成立,则
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5470266c16f972511f37f5e516fbde78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a089bbc48a1539b3cc52614ae6cdaf37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
②若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02d6d352c07ed3d04873a19b32fe562a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次