名校
解题方法
1 . 已知
的定义域为
,且满足:对于任意的
时,都有
,
,则下列说法正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da5ff7399f56d9fcb3465d5d7df6079d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a02cdd2d61ef8488ed5b6c18a768264a.png)
A.![]() | B.函数![]() |
C.对于任意的![]() ![]() | D.若![]() ![]() |
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2 . 已知函数
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b201baafadb8cdcd6fe0ebef01ca1f98.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
名校
解题方法
3 . 给出以下三个条件:
①直线
,
是
图象的任意两条对称轴,且
的最小值为
,
②
,
③对任意的
,
;
请从这三个条件中任选一个将下面的题目补充完整,并求解.
已知函数
,
,______.
(1)求
的表达式;
(2)将函数
的图象向右平移
个单位后,再将得到的图象上各点的横坐标伸长为原来的
倍,纵坐标不变,得到函数
的图象,求
的单调递增区间以及在区间
上的值域.
①直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/971905ea129aec0ca7c325f60260c7e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd86badb20015aa65328fda1e43a117.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24acaad3e4a83c102702155e5df281e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d998db584559996d1a463562ebfc83cd.png)
③对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33b186f5b59118edded81fefe9d878a7.png)
请从这三个条件中任选一个将下面的题目补充完整,并求解.
已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/599e2770c9a9d6d891fd156f0a4f9485.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1e4ac856b7ac1c163cced5db3f2b219.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5e24f048f9a87274863ba2c037d7a5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb2faa63899873813748f6a28b8a92e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42017367e7f9fc70f99d70551852d6e6.png)
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4 . 已知向量
,且函数
.在
上的最大值为
.
(1)求常数
的值;
(2)求函数
的单调递增区间;
(3)求使
成立的
的取值集合.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43be13058d93f72b02d2b32e6dc1f8bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3722f65a1bc560703e1a54e0cd4d3657.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47cfe4e08c06bde245e58aa22485044c.png)
(1)求常数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)求使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6acb0f1ac694dd177e99fc385f23318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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名校
解题方法
5 . 已知函数
的定义域为
为奇函数,且对于任意
,都有
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f79a9d20a20a0d5040d15a777f4e3b1.png)
_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9103c3be569d9298e20868fae00ff402.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92fcea5d5d04fef690da53cd17463f59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f79a9d20a20a0d5040d15a777f4e3b1.png)
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名校
解题方法
6 . 已知函数
.
(1)求不等式
的解集;
(2)设函数
的最小值为
,且
,
,
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cccdd687604a04f9575ea9fb1d19585e.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3a075dce77c9a6b964a8a3fc1ee6e8c.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8610232c77741a37463feba1a66c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5d7846b4f08eee0725e2d5024a27b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55db12bc9a3b7bd2e6decaaea6ba387e.png)
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名校
解题方法
7 . 已知函数
的定义域为
,
是偶函数,
是奇函数,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e356a6e54a669fda721085096c8416db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d7661d3fc28f785b438ad8c8f9d240a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5215a578933ba72022450a6d3a37d14.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
8 . 已知函数
在区间
上至少存在两条对称轴,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b00a4179f4a0381087795289b311faa1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10632a0ef5e0ef164cc4eaad2805d0ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
A.6 | B.![]() |
C.![]() | D.![]() |
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解题方法
9 . 已知命题
:对于任意
,不等式
恒成立,命题
:实数
满足
.
(1)若命题
为真命题,求实数
的取值范围;
(2)若命题“
”为真命题,“
”为假命题,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9322dd8f56b5f8d2c667fdf0d4a9f9aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c9a11b5ed4416fa40c30a760c9aaefd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77b88fd68d6d0d7439b06730f0a846c7.png)
(1)若命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若命题“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f675824e539f50cec53120959d32e554.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13472bf0353e16784a22e1f890fba40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2024-02-20更新
|
57次组卷
|
2卷引用:四川省雅安市天立学校2022-2023学年高二下学期期中教学质量测试数学(文)试题
名校
10 . 已知函数
的图象在区间
内至多存在3条对称轴,则正实数
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c350cc3aa0da7ea2636dc781f7ad25e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1e4ea387d312c373970434e84779364.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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