真题
1 . 设函数
.已知
,
,且
的最小值为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2a62b7e41b73f9a06ee27633f48306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0663422c0bd6ae0701b5d6ed0d60dd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034a7215ac688db86d901dae78dfdf53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc6abf3f9b0ebcdc47a028c781b7edb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
A.1 | B.2 | C.3 | D.4 |
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7日内更新
|
2452次组卷
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4卷引用:专题04三角函数与解三角形
2 . 函数
,其部分图象如图所示,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2dc8f71f48a0b43ad8b6ae69b95a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d868c98c70bc65f0fc77a951d60063d4.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
3 . 已知函数
,如图
是直线
与曲线
的两个交点,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8ca1100b456583c791b802ea0b12cda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2f3fa679bb55ded25a9b72a8e788cb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ccc13ec368d58da2c177c6c36adf888.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59991883c80590e38de4b112f85ae1d7.png)
A.0 | B.![]() | C.![]() | D.![]() |
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2024-05-29更新
|
958次组卷
|
3卷引用:模块三 易错点4 已知图象求三角函数解析式时选点不当
(已下线)模块三 易错点4 已知图象求三角函数解析式时选点不当吉林省长春市东北师范大学附属中学2024届高三下学期第五次模拟考试数学试题甘肃省兰州市西北师大附中2024届高三第五次诊断考试(三模)数学试题
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4 . 已知函数
在
处取得最大值,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99bdec6f9e90568310dae65694b5205d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa57640e87f3dcc59f35182e4bd46a26.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
5 . 已知函数
,其中
.再从条件①、条件②、条件③中选择一个作为已知,使
存在,并完成下列两个问题.
(1)求
的值;
(2)若函数
在区间
上的取值范围是
,求
的取值范围.
条件①
;
条件②
是
的一个零点;
条件③
.
注:如果选择多个条件分别解答,按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd20824c1690dfddfbb2b874b637547f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9531427f246890e815b7ed47e78daa78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbae0d22d931ac42b565c7990764a2c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57e254a7d08060fb2655d5b07df06e7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
条件①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165a8711673aec9f3dcf75d7ed00a25.png)
条件②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b61e73c2ecd98d278404b688654b3038.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
条件③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21af7b21fbf7076b2fd4834aed038f95.png)
注:如果选择多个条件分别解答,按第一个解答计分.
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6 . 设函数
,
.
(1)求函数
的单调递减区间;
(2)若函数
在区间
上有最小值
,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cda9d2ac6f362df4c0d4c0ba1baf4ec2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90df0e0e54f4129f46cbe6f8f7879a67.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/257b5cac000fa7c846215d986d6aa90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
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2024高三·全国·专题练习
7 . 已知函数
在区间
上单调,其中
为正整数,
,且
.
(1)求
图象的一条对称轴;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc1a15385fae7a39110f34587b3119d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96211a67d20cf24c42fe5c2328b162f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51d65b6b24f2b83a74a2a6f7afb1df89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/043b7edee5325518785164f372f2966c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de7c73ca145e7701a64e21a1f2d60a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
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8 . 已知函数
的最小正周期为
.
(1)求
的值及函数
的单调递增区间;
(2)若函数
在区间
内既有最大值又有最小值,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4363d0742afe8690b750e9e58106176.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30226d5e28b3a9a7e5167e4d1a8e66a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
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名校
解题方法
9 . 已知函数 ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea6f3878d070793e59aca4ea04bc7721.png)
在区间
上的最大值为3.
(1)求A的值并解不等式
;
(2)将函数
图象上所有的点向下平移1个单位长度,再向右平移
个单位长度,得到函数
的图象,若
,且
求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea6f3878d070793e59aca4ea04bc7721.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d37c35a8ae5caef9c99712e789cd3c10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e202311386b920f5b269ae0fda0c4fe.png)
(1)求A的值并解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94cc25a7cf28ed096549fbae97fce40a.png)
(2)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e01809470db997330f904486a4078cfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6b312036dd843e9ee62d08bfd14936f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eebb6b1d1bda9fc97bd8860513dbccc2.png)
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名校
解题方法
10 . 某同学用“五点法”画函数
在某一个周期的图像时,列表并填入了部分数据,如表:
选择下面三个条件之一,完成作答.
条件一:①
,②
;条件二:①
,③
;条件三:④
,⑤
.
(1)我选择条件______,请直接写出函数
的解析式和最小正周期;
(2)求函数
在
上的最值,并写出相应的
值;
(3)若对
,不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e6e933c323da8610a76bdd7e1e8868a.png)
0 | |||||
① | ② | ③ | ④ | ⑤ | |
0 | 2 | 0 | -2 | 0 |
条件一:①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aeb076bad84890e24dbdc945ad543cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aeb076bad84890e24dbdc945ad543cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/730511e5c675812664f9c7b297ad0a13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76dde16b05fba6fc61779511e63f34fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/856408b57ec26c833422c65e58e76662.png)
(1)我选择条件______,请直接写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b672f564d03ed46d092bb130f229ad8.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b672f564d03ed46d092bb130f229ad8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02880800c31fb84a744209cdc0ec4dc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)若对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1159f4ae6d87adfd4ce3b8d958233967.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ba754f7062d9335e65eddab0e6b81af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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