1 . 定义在
上的函数
(
且
)为奇函数.
(1)求实数
的值;
(2)若函数
的图象经过点
,求使方程
在
有解的实数
的取值范围;
(3)不等式
对于任意的
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8254a9fe09d5e3940ad8c1c1c62c105c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2139c88e2a08e9b9917cc5c8bb08b971.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84532b607117396a7a8fcdf06a91a69a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/406185f4ad8bcd99e23adc8d289088ed.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2c3dd8fa2dc8c0c7e255bfb054ad34c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/510fc16cc2fe1f08c2486971a779f5f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced8b5e452c8831e536e0a98f2b757c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6ef54e78ade34b9998305703bb7e816.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cd0f1e3e3b41948f1b3d287c4b0cb44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
解题方法
2 . 已知
是定义在
上的奇函数,且函数
为偶函数,当
时,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5baf5c9394ed9d0a7ec21f3690e0e186.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c09c5c89b0c2a92f8c4b70e69b0eada.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b6e80db7f2d705016809640d5c30dc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3daad3a31a3597f75fa109736ed2ebf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5baf5c9394ed9d0a7ec21f3690e0e186.png)
您最近一年使用:0次
解题方法
3 . 已知函数
,则方程
的实数根的个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d969973b5654075a2c8bf300a9e2c6ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5a2f32be7144780a7842c82fb39184a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
4 . 已知
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/804b3fbb7d43cd507d9c47ad31b4641e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5af75f78d2700123b0f3fa5a316505bd.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
5 . 已知函数
是偶函数,且
,
.
(1)当
时,求函数
的值域;
(2)设
,
,求函数
的最小值
;
(3)设
,对于(2)中的
,是否存在实数
,使得函数
在
时有且只有一个零点?若存在,求出实数
的取值范围;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3067e2ce6964dd8a4657f33ff1020e42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7266302e4bcdec779069599b8a60819c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f76a0407dc64862b341524e8f3d7164.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0eac2b31a19918895e5af2d316490e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df0a357d2b5b8a4762b35cd999a0185a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0eac2b31a19918895e5af2d316490e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be55c8f2760d6db125f46691a3de48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01b3ae7e5228fd1acb0d46f6941143a7.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aeae227ddcd963101c96448b12a69d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01b3ae7e5228fd1acb0d46f6941143a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50282be6dd45d22a1d8fbb13520cb76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a65f98fb31af1299a4d4b31d67a240b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
2022-04-13更新
|
521次组卷
|
3卷引用:四川省攀枝花市2020-2021学年高一上学期期末数学试题
解题方法
6 . 某药物研究所开发了一种新药,根据大数据监测显示,病人按规定的剂量服药后,每毫升血液中含药量y(微克)与时间x(小时)之间的关系满足:前1小时内成正比例递增,1小时后按指数型函数y=max−1(m,a为常数,且0<a<1)图象衰减.如图是病人按规定的剂量服用该药物后,每毫升血液中药物含量随时间变化的曲线.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/7/51dd04b0-dd28-4e9f-a5e7-36823adbf1ca.png?resizew=150)
(1)当a=
时,求函数y=f(x)的解析式,并求使得y≥1的x的取值范围;
(2)研究人员按照M=
的值来评估该药的疗效,并测得M≥
时此药有疗效.若病人某次服药后测得x=3时每毫升血液中的含药量为y=8,求此次服药有疗效的时长.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/7/51dd04b0-dd28-4e9f-a5e7-36823adbf1ca.png?resizew=150)
(1)当a=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d266a04f3dc7483eddbc26c5e487db.png)
(2)研究人员按照M=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/916bb2cc1b29574ff95b47567c59ee0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
您最近一年使用:0次
2022-04-13更新
|
354次组卷
|
3卷引用:四川省攀枝花市2020-2021学年高一上学期期末数学试题
四川省攀枝花市2020-2021学年高一上学期期末数学试题北师大版2019必修第一册综合检测卷-2022-2023学年高一数学北师大版2019必修第一册(已下线)专题4.4 指数函数-重难点题型检测-2022-2023学年高一数学举一反三系列(人教A版2019必修第一册)
解题方法
7 . 已知函数
是定义在
上的偶函数,且
.
(1)求实数
的值,并证明
;
(2)用定义法证明函数
在
上是增函数;
(3)解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72bc1a7f57d5753de947ffe676b93fdd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ea5ef4cc49c6d02ecf88bd7dfe38d5.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d697832e4006f4392113a62cf83b1116.png)
(2)用定义法证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad2edd8edcb21bd41584daf9bb95a5c7.png)
(3)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ca280e73ab6921b821d86e38a909eb1.png)
您最近一年使用:0次
解题方法
8 . 已知全集为实数集
,集合
,
.
(1)求
及
;
(2)设集合
,若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5de89247657d18db38bd8bb2128df82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30c94d67127a374a7515c0184b8c75db.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c93f24face0db72ce26ae8539d93773d.png)
(2)设集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d09cb0bc2d561237ac053af99972576.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c6ca098b764e0366d043b69ae9d8f68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
9 . 已知函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65ead26c43de3435be3de2d146c23761.png)
______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e88ee077aa0bd40919fa5e9ff100dba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65ead26c43de3435be3de2d146c23761.png)
您最近一年使用:0次
名校
10 . 已知函数
,
,若存在
,使得
,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cce427e97019745d570dd2728027fba5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2883d8a8f62fc2cb81d09d730cc8d8c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4169c5f606352788872a03fe5476fea2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e63bbadc6250f7139836ede33205550.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2022-04-13更新
|
616次组卷
|
2卷引用:四川省攀枝花市2020-2021学年高一上学期期末数学试题