解题方法
1 . 已知函数
.
(1)若
,求函数
在
上的值域;
(2)若关于
的方程
恰有三个不等实根
,且
,求
的最大值,并求出此时实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3110f2cdce3db75f34c0b15f9f728cc.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/374cecac391fcb30f89eb77dc632b0ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b8ec9d4206ea66a02de5c4a1e1e911.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/957a8f753786ffb9ae62c618aed6916d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
2 . 我们知道,函数
的图象关于原点成中心对称图形的充要条件是函数
为奇函数.有同学发现可以将其推广为:函数
的图象关于点
成中心对称图形的充要条件是函数
为奇函数.
(1)求函数
图象的对称中心;
(2)若函数
的图象关于点
对称,证明:
;
(3)已知函数
,其中
,若正数
,
满足
,且不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bec550c01b4f075f22ab67f5e55ed5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05d0969cb7acbeaa05a101a385348a00.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba76aea9da4c2b01f761de20b5733990.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bec550c01b4f075f22ab67f5e55ed5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d9667f0dc84f4e0ff0bcc9fdc4e2206.png)
(3)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dd2f8c2b6f4e72b9eb836a84cdd3e5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cec12441802f71e803efaf2c62ee588.png)
![](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/58b645f14176b63dd425178c4fe0061e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d925a16cb4b1d402a4b315533c7baeeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
名校
解题方法
3 . 已知函数
.
(1)当
时,判断函数
的奇偶性并证明;求出
值域;
(2)给定实数
,
,问是否存在直线
,使得函数
的图象关于直线
对称?若存在,求出
的值(用
表示),若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c78d75473a3f39c67b2c9f577a8e3b6d.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)给定实数
![](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/11abb76da45ffa52b47c3a6b9a03ac7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11abb76da45ffa52b47c3a6b9a03ac7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
19-20高一·浙江·期末
解题方法
4 . 已知定理:“若
、
为常数,
满足
,则函数
的图象关于点
中心对称”.设函数
,定义域为
.
(1)试求
的图象对称中心,并用上述定理证明;
(2)对于给定的
,设计构造过程:
、
、
、
.如果
,构造过程将继续下去;如果
,构造过程将停止.若对任意
,构造过程可以无限进行下去,求
的取值范围.
![](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/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/848df4eb73fcb06c262064e1049db419.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19d3cad7a698206f02af6c3382c6edfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6870328a995dcf00880b3a15f5b541f6.png)
(1)试求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)对于给定的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fa273c6bf06db59f93c900e6bf8eb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9232e8b0604c039d1291c082a2271a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eb4d4251ee23b1d635cf8d1080dceef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc85a01f2a5b003d545aabd58658f430.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b77df1f16087bbc58065d7892bcddd9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cedd176503d53573b0d7ceb03d933700.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fa273c6bf06db59f93c900e6bf8eb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2020-11-28更新
|
273次组卷
|
5卷引用:【新东方】在线数学22
(已下线)【新东方】在线数学22浙江省浙北G2(嘉兴一中、湖州中学)2020-2021学年高一上学期期中联考数学试题浙江省浙北G22020-2021学年高一上学期期中联考数学试题广东省深圳市宝安区2020-2021学年高一上学期期末数学试题(已下线)专题7.2 函数综合 B卷(常考题型精选)-2021-2022学年高一数学单元卷模拟(易中难)(2019人教A版必修第一册)
19-20高一·浙江·期末
5 . 已知定理:“实数
为常数,若函数
满足
,则函数
的图像关于点
成中心对称”(此时也称点
为函数
的图像的对称中心)
(1)直接写出 函数
的图像的对称中心;
(2)试判断函数
的图像是否成中心对称,若是,求出其对称中心坐标;若不是,请说明理由;
(3)已知函数
满足
,当
时,都有
成立,且当
时,
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27c97d54952104950bfd7afc0176bbd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8c1efdcde7a72ff6fdd56c091258e37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/951b05c96af4f7704de24ac541b3f172.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a64d924836b4292239d9726c6473d7f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a64d924836b4292239d9726c6473d7f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/951b05c96af4f7704de24ac541b3f172.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53b61608d785aa5aab652b78217b1708.png)
(2)试判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c022abb80e97099c5a607b4f70a97fa3.png)
(3)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1664cb3ef42b80e256d9d91c3f49c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fbb01a7f5e9861aa185c6c63fcd58c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eef0e031cf71bd223cc26e3c0fa5623a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1376168658dbe7f5b7f4d75fb1db545a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdec30e00fa005b956156de45ee635c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次