名校
1 . 已知函数
的图象与直线
连续的三个公共点从左到右依次为
,
,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/212693a989c3c470084ba63488f46432.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df182205783e6014e3eb3770ddcb37f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7259b54e70ea3afea40feac967445fba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c6922bf92b4ef2b89f11b727d7d0a27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/212693a989c3c470084ba63488f46432.png)
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2023-09-09更新
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2卷引用:江西省宜春市丰城中学2023-2024学年高一下学期4月期中考试数学试题
名校
2 . 已知等差数列
的公差为
;集合
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0d525ae46e5026cbf761c3ce8849f0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d620c72ee3c16c8fa2c1b0e45882c3a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
A.![]() | B.0 | C.![]() | D.1 |
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3卷引用:北京市第十三中学2024届高三上学期期中测试数学试题
3 . 已知函数
满足
.若
在
上恰好有一个最小值和一个最大值,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
__________ ;若
在
上恰好有两个零点,则
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35a8d739a3f8e5aaa6962538c5c4fd82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/441f0cd93a81547f300a298344739106.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6056614589cdbe3302a25c148f955b88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6056614589cdbe3302a25c148f955b88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
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2023-11-10更新
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3卷引用:天津市部分区2023-2024学年高三上学期期中数学试题
名校
4 . 已知函数
的部分图象如图所示.则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e658113eadee1b45111b2a927c24e2f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/28/8806fb37-e21b-42d2-8f28-378d37917fd3.png?resizew=151)
A.![]() |
B.![]() ![]() |
C.函数![]() ![]() ![]() |
D.A,B,C是直线![]() ![]() ![]() ![]() |
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3卷引用:广东省佛山市南海区艺术高级中学2024届高三上学期期中数学试题
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解题方法
5 . 函数
在
上的零点从小到大排列后构成数列
.
(1)求
的通项公式;
(2)设
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7aff68251bcb02e177198deef934a42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b25b075f3002d83c9bedb113dc04b4f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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2023-10-31更新
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7卷引用:新疆兵团地州学校2024届高三上学期期中联考数学试题
6 . 已知函数
的最小正周期是
.
(1)求
和
的对称中心;
(2)将
的图象向右平移
个单位后,得到函数
的图象,求
在
时的最大值和最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d81257448bd93bdc3f22f8012d25862c.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)将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb48434bdcafb5e084fc0b6396cb9469.png)
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2卷引用:福建省福州市金桥学校2024届高三上学期期中数学试题
7 . 已知函数
(
,
,
)同时满足下列四个条件中的三个:①最小正周期为
;②最大值为2;③
;④![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f43032fdea313ae19f30ac1c3e633273.png)
(1)给出函数
的解析式,并说明理由;
(2)已知
,求
的最值及相应的
值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ec89c3bc454d209007c2b29baeeb3b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13378be06b6b01bcad1d261ff14e87cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af87a22a39bd12c4734b0bdf1596b42a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc32c2bbc0a4ea29784c84bed56c07ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f43032fdea313ae19f30ac1c3e633273.png)
(1)给出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31aba8ca22579a6d5eed632aecff4548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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4卷引用:河南省驻马店市环际大联考“逐梦计划”2022-2023学年高一下学期期中数学试题
河南省驻马店市环际大联考“逐梦计划”2022-2023学年高一下学期期中数学试题(已下线)专题3 考前优质试题精选练(3)(北师大版高一期中)(已下线)7.3 三角函数的图象和性质(十六大题型)(3) - -【帮课堂】(苏教版2019必修第一册)广东省珠海市大湾区2023-2024学年高一上学期1月期末联合考试数学试题
解题方法
8 . 写出一个同时具有下列性质①②③的函数:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba99a5c5661eedaef4b36ade1a7c5c5.png)
___________ .
①最小正周期为
;②
的最大值是4;③
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba99a5c5661eedaef4b36ade1a7c5c5.png)
①最小正周期为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e17ee5f43412795671704ab0e8d0b2f5.png)
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3卷引用:山西省大同市云冈区汇林中学2024届高三上学期期中数学试题
9 . 已知函数
的最小正周期为
.
(1)求函数
单调递增区间;
(2)当
时,求函数
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fa9b07e272cb3a6b95e865b12220ff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ec5d200b561e4be52ccaaebdc3105d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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6卷引用:广东省深圳市龙岗区德琳学校2022-2023学年高一下学期期中数学试题
名校
10 . 把函数
图象上所有点的横坐标都伸长为原来的2倍,纵坐标不变,再把所得图象向右平移2个单位长度,得到函数
的图象,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a29f026fc1f7bebd55d625c2eb7319e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b265b3d86f7de8d25b1e1baa3799a57f.png)
A.-1 | B.![]() | C.0 | D.1 |
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3卷引用:陕西省安康市汉阴中学2022-2023学年高一下学期期中数学试题