名校
解题方法
1 . 已知函数
,
.
(1)当
时,用单调性定义证明:
在区间
上单调递减;
(2)若
在区间
内有2个零点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df13cd39eaaaa19cf43244f62139d1e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e33baa45471d4f0be525f9ba73fd6775.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed1a65d88f9823d49da8f3b96ea9ec6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
2 . 已知函数
是定义在
上的奇函数,且当
时,
.
(1)求函数
的解析式;
(2)若
,使得
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8b6e6e85b5c3b48f1de26d527e38b96.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b3cfe0d30dca23488bf069b3edfd280.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
3 . 已知集合
,其中
都是
的子集且互不相同,记
的元素个数,
的元素个数
.
(1)若
,直接写出所有满足条件的集合
;
(2)若
,且对任意
,都有
,求
的最大值;
(3)若
且对任意
,都有
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13757649d1059dabada7fbafde58e6f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a96fa7b00ef7b8cf8e5a42aeb29f5154.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf783a679243d115e602912050e47ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/775adbe6736b3ec038d45a4f209ac290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f71a52871eb36b27836d6b9d72029ac.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/144e563700d35bb31aa51bab681f3118.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04b56e44e4f0424a2b7a45567120a2e4.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45cf86650443d1b86c79b1e3edc7e5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ebd42fc2af57877e06f485b50ae4d87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19eee6183061532e744ef9086ffcb8b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31a245761c2403d38b654894e0c78cec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ebd42fc2af57877e06f485b50ae4d87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d27d4e5e05097560b51f888f8b234bc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024-03-23更新
|
862次组卷
|
4卷引用:海南省海南中学2024届高三下学期第九次半月考数学试题
解题方法
4 . 已知函数
,函数
.
(1)求证:方程
在区间
上有唯一的实数根;
(2)若存在实数
,使得
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cf51d9719b5dba6b64411e961002d3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f608776b92a1cd0f6bc13b865239f96.png)
(1)求证:方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34f16d7a9d2ce1f908ff31e2cdbc8ecb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
(2)若存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47e2302295333e96f24e328bc4e1f9dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
解题方法
5 . 已知函数
(
且
,
为常数)的图象经过点
,
.
(1)求
的值;
(2)设函数
,求
在
上的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e17afd02a58c3d3c25ac4f8cab171e24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/758a8bbcb76c425086a92f133203a433.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7e6445e0fc58359e249fe2fb1edbed7.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51fbe4dcae782f9d4f2ff909ffda9c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dccf1f9faac56117d6d3dd1dddd286d.png)
您最近一年使用:0次
2023-12-23更新
|
845次组卷
|
7卷引用:海南省2024届高三上学期一轮复习调研考试(12月联考)数学试题
海南省2024届高三上学期一轮复习调研考试(12月联考)数学试题山西省部分学校2023-2024学年高一上学期12月联合考试数学试题(已下线)专题04 与指数函数、对数函数有关的复合函数及函数方程综合应用-【寒假自学课】(人教A版2019)福建省福州市九师教学联盟2023-2024学年高一上学期1月联考数学试题(已下线)专题06 幂指对函数的图象与性质(2)-【寒假自学课】(苏教版2019)(已下线)高一数学开学摸底考 01-人教A版2019必修第一册全册开学摸底考试卷(已下线)热点2-2 函数的最值(值域)及应用(8题型+满分技巧+限时检测)
名校
6 . 若函数
满足下列条件:在定义域内存在
,使得
成立,则称函数
具有性质
;反之,若
不存在,则称函数
不具有性质
.
(1)证明:函数
具有性质
,并求出相应的
;
(2)已知函数
具有性质
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/110e5b2f8a412dc6528df8da2ed66cc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(1)证明:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dc4e3775c850f1c1804f9eb7a70153a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7099e54df7bf582badbca0e1d3794b30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
7 . 已知函数
为奇函数.
(1)求
的值;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53d95afec49bce34b4a897c89dc2a0fb.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c06bc1a6ea1df863743cb337cb1f1e04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
名校
解题方法
8 . 一种药在病人血液中的含量不低于
时,它才能起到有效治疗的作用.已知每服用
个单位的药剂,药剂在血液中的含量
(单位:
)随着时间
(单位:
)变化的函数关系式近似为
,其中
.
(1)若病人一次服用2个单位的药剂,求有效治疗的时间;
(2)若病人第一次服用2个单位的药剂,
后再服用
个单位的药剂,要使接下来的
中能够持续有效治疗,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d5a3d07a639adabe58a1d2af855cbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6582b47d4b64afcd227aad67ffbd7fc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3960d67499df76159982657fe3a1cbca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1933311c0c090e1138e4dd388b7adf8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d632213d947f70715d5b23d0e80f9ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8a67307c595704deb8ce642ee54eb47.png)
(1)若病人一次服用2个单位的药剂,求有效治疗的时间;
(2)若病人第一次服用2个单位的药剂,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15694733427d51a02995963186c5c427.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b94884784f3d10ab00f23d942424e4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
名校
解题方法
9 . 已知函数
是定义在
的偶函数,当
时,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/18/010a4f28-c8d4-44e5-9c0c-e92d2b586353.png?resizew=215)
(1)请画出函数
图像,并求
的解析式;
(2)
,对
,用
表示
,
中的最大者,记为
,写出函数
的解析式(不需要写解答过程),并求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c395237799431ccbd691c17d5c78ac3e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/18/010a4f28-c8d4-44e5-9c0c-e92d2b586353.png?resizew=215)
(1)请画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8f907172b5722b38303f01d833f90d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/531bcdb6324cb5a759301daddf9768c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/316f701027f4bd38abca039b3499b498.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/531bcdb6324cb5a759301daddf9768c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/531bcdb6324cb5a759301daddf9768c0.png)
您最近一年使用:0次
名校
解题方法
10 . 已知函数
.
(1)判断函数
的奇偶性,并求函数
的值域;
(2)若实数
满足
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b568413a80f0b4b56bb77e1ef9520ca.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9998f27aca8e31ba479b96858b509c85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
(2)若实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66071a1f896b08521cf6d95b775d6fe7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次