名校
解题方法
1 . 已知函数
.
(1)当
,
时,若“
,
”为真命题,求实数a的取值范围;
(2)若
,
,解关于x的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/239ea0e903fbb4c8ce04133b9969578c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8645952ea14b25443f411d39bdec641e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2a7df955fc17e92fd86302f8c34664a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50532602bcd530a2e8ec373949a80f2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e768f6d07a30c490a1011a8256548bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a57458464618fcf619375a93d3c66d69.png)
您最近一年使用:0次
2022-10-31更新
|
904次组卷
|
4卷引用:四川省内江市资中县第二中学2022-2023学年高一上学期10月月考数学试题
20-21高二·全国·单元测试
解题方法
2 . 已知二次函数
,关于
的不等式
的解集为
,其中
为非零常数,设
.
(1)求
的值;
(2)
如何取值时,函数
存在极值点,并求出极值点.
(3)若
,且
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3289d2e4520c5b872e814959bc3bed4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08bbe508332272fd1769bb2b87de3805.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987ee644169ad93379283ae715d8ebf9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cbd77a292834deca9109cfeae8d00e9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6944a8bd2626880b18de6424a4400c60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13e965748980da1f255beabd63032e56.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fff88dfd467a01b177854545de17534a.png)
您最近一年使用:0次
名校
解题方法
3 . 已知函数
,
.
(1)若
,试判断函数
的奇偶性,并用奇偶性定义证明你的结论;
(2)当
时,求不等式
的解集;
(3)若存在
使关于x的方程
有四个不同的实根,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72bc09352dfb8a9a9df6d97a7a49beb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f22a4a0dd7307a1323d25331e60782d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e38c541dec8fce1d26886e5ef7d21f.png)
(3)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c93d770f34594693cba4e160fc4687d.png)
您最近一年使用:0次
名校
解题方法
4 . 已知函数
,
.
(Ⅰ)若
,解不等式
;
(Ⅱ)设
是函数
的四个不同的零点,问是否存在实数
,使得其三个零点成等差数列?若存在,求出所有
的值;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e49948cb5d0925be201ed086845f1d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7fcc1dbd7485c0ff2a6e1ad4d871d34.png)
(Ⅰ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30e9fa864472349a0094a4c8328e4536.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b666663ce3537a634a3b427b418eb62.png)
(Ⅱ)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8ccd22fd0ca1a8e1468329284f91b6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/190a6120c3330c51d0823c8bd8991b2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2020-11-08更新
|
813次组卷
|
5卷引用:浙江省丽水市2018-2019学年高一下学期期末数学试题
浙江省丽水市2018-2019学年高一下学期期末数学试题广东省执信中学2019-2020学年高二上学期9月月考数学试题(已下线)【新东方】杭州新东方高中数学试卷323(已下线)第23讲 零点问题之三个零点-突破2022年新高考数学导数压轴解答题精选精练浙江省宁波市北仑中学2022-2023学年高二(1班)下学期期中数学试题
名校
解题方法
5 . 已知
,
为常数,函数
.
(1)当
时,求关于
的不等式
的解集;
(2)当
时,若函数
在
上存在零点,求实数
的取值范围;
(3)对于给定的
,且
,
,证明:关于
的方程
在区间
内有一个实数根.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8c498b4bb96685af346a68d41a97c12.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e384e19e1354861e7cc690ec86ee8d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9819a0c66d958a63009c3484ef719ffb.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edba05ba11ee8720c2ab52599000e646.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7489ec7a8834ed7520fc58806d6bc6e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(3)对于给定的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4439535cb9b863d0de5107bf0a22769a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/823b887d172640b1ed3ad334e398eb7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3379346227decdac3b2461cdef56b07c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6db789c6a68761a5446ff724edc96f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebd19f709748d6ac9ba39dca27b57f4b.png)
您最近一年使用:0次
名校
6 . 解关于
的不等式
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c46b5038e7aae0eac90dbee8140b0793.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
您最近一年使用:0次
12-13高三上·江苏扬州·阶段练习
解题方法
7 . 已知集合
.
⑴是否存在实数
,使得集合
中所有整数的元素和为28?若存在,求出
,若不存在,请说明理由;
⑵以
为首项,
为公比的等比数列前
项和记为
,对任意
,均有
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90b2485d1e0a5bfd1075ef1767506f0.png)
⑴是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
⑵以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.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/29d5ec9ad92f37e64eccce922ab1b14e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35eb4fe67d5a6378c3ac14def93d0d8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次