1 . 已知函数
,其中
.
(1)若
,
,求
的对称中心;
(2)若
,函数
图象向右平移
个单位,得到函数
的图象,
是
的一个零点,若函数
在
(
,
且
)上恰好有8个零点,求
的最小值;
(3)已知函数
,在第(2)问条件下,若对任意为
,存在
,使得
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc83360ee915013086a987281278639.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deb73539af255bde55d682b0d0ca735f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa9ceace94f41fcf47aa3ba6ca444a6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83f95e85ce6707ff4161cc675665c557.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037fb348109dc2063a268b10eb925a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9895bf4192f5c55c16f8270d53c49b13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8440725e1df5ca0990b572dd84127914.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb7961cbe98aac6a5fdee94582c341b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64da75a02173c2a5eb40f4c68d0f4f36.png)
(3)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b0d3f5247aced48d54b594ec3522628.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e538686939002a2ba06670615144c73d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83caece05b586ec9e2d6f1ec69449550.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b56a0bc723618e7cdac994882c807bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
2 . 设函数
.
(1)当
时,解不等式
;
(2)若
,则
在闭区间
上有实数解,求实数
的取值范围;
(3)若函数
的图象过点
,且不等式
对任意
均成立,求实数
的取值集合.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21248b0f3d3ae1495574a88181d20db8.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e94f16d5ed858699bfea5039a7bf8ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6818d478d5712c1b33034da904d69985.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e61c9a7ed0961f8977a21dab37aab396.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87b28776c37c352e4beb47a11a3420f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9210e75c35fb455d0446eb7ddba7d79c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/facb8c43b7857be3ceb72cce699e4686.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d19195d1adf801090bcdc5d48b4b8554.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c229aec38946b710076588b7710381c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
3 . 函数
,则以下说法正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e2e6ab649676f105587b7042fec2bbd.png)
A.若![]() ![]() ![]() |
B.若![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() |
您最近一年使用:0次
4 . 函数
在区间
上有3个零点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e6b8482894110adeb1e35d4c6b853d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71163f419555f2ed76075c8ff659fbfc.png)
A.![]() ![]() |
B.![]() ![]() |
C.![]() ![]() |
D.已知![]() ![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
名校
5 . 已知函数
,对
都有
,且
是
的一个零点.若
在
上有且只有一个零点,则
的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78f993629eba609365f688398301bb29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c1324f3d9dc861bd382ef65d8c1f678.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c54f212fc8b30b78c3c9913081f8389.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea3b6748c18b4b8d66350bb9fdfdbdb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec270afb8bfe12737ef8a8f7dd4bf1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
您最近一年使用:0次
2023-09-24更新
|
635次组卷
|
3卷引用:四川省遂宁市射洪市四川省射洪中学校2023届高三上学期12月月考理科数学试题
四川省遂宁市射洪市四川省射洪中学校2023届高三上学期12月月考理科数学试题四川省绵阳市三台中学校2023-2024学年高三上学期第二学月测试理科数学试题(已下线)专题17 三角函数两种情况ω卡根原理(期末填空题3)-题型秒杀技巧及专项练习(人教A版2019必修第一册)
解题方法
6 . 某同学所在的课外兴趣小组计划用纸板制作一个简易潜望镜模型(图甲),该模型由两个相同的部件拼接粘连制成,每个部件由长方形纸板
(图乙)沿虚线裁剪后卷一周形成,其中长方形
卷后为圆柱
的侧面.为准确画出裁剪曲线,建立如图所示的以
为坐标原点的平面直角坐标系,设
为裁剪曲线上的点,作
轴,垂足为
.图乙中线段
卷后形成的圆弧
(图甲),通过同学们的计算发现
与
之间满足关系式
,现在另外一个纸板上画出曲线
,如图丙所示,把沿虚线裁剪后的长方形纸板卷一周,求该裁剪曲线围成的椭圆的离心率为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/29/45257ed5-70b8-4c15-8a6c-24c2d4261e8a.png?resizew=441)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bbb96f406684e10112e653e32db1e3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d37a8d182d88a137e3b65710d2c30c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e65ac334119ccd6204402a7aba29a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44ee82573986d4fa6a7ee1b5f397edae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59fbd9b5e5d8be69373850d7faebdaf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4cd68cc82e90a5e2049a7ea3171b84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5111b111c0b62990a650a817dbff416d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9856bf8499f6e26394f438c220507c44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2408900cfe417ec88c1531de004d4188.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/20/ea8cf1bd-b1ab-4ccf-9c8f-0238602164fa.png?resizew=152)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/29/45257ed5-70b8-4c15-8a6c-24c2d4261e8a.png?resizew=441)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-09-19更新
|
951次组卷
|
4卷引用:云南省大理白族自治州大理市辖区2024届高三区域性规模化统一检测数学试题
云南省大理白族自治州大理市辖区2024届高三区域性规模化统一检测数学试题云南省三校2024届高三高考备考实用性联考卷(三)数学试题(已下线)第十一章 数学建模综合测试B(提升卷)(高三一轮)北京朝阳区六校联考2024届高三12月阶段性诊断数学试题
名校
解题方法
7 . 已知向量
.
(1)当
时,函数
取得最大值,求
的最小值及此时
的解析式;
(2)现将函数
的图象沿
轴向左平移
个单位,得到函数
的图象.已知
是函数
与
图象上连续相邻的三个交点,若
是锐角三角形,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c921ab3e208d45b41f17ef584751a3b.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70c6cb0cc172657611e286e7fa669584.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)现将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e33b8da413a3b009e3b3a60db3117d25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
您最近一年使用:0次
2023-07-13更新
|
708次组卷
|
3卷引用:河南省驻马店市2022-2023学年高一下学期期末数学试题
名校
解题方法
8 . 已知
在
上的最小值为
,则
的解有( )个
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d1f4c1db06cbbd2b22dfbeb73e037ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c6c37ce441a8ed77c8e3953e8fe1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e329215ec2d6f4e7c8121899e9ac6b71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
2023-06-11更新
|
920次组卷
|
6卷引用:湖北省荆、荆、襄、宜四地七校考试联盟2022-2023学年高一下学期期中联考数学试题
湖北省荆、荆、襄、宜四地七校考试联盟2022-2023学年高一下学期期中联考数学试题江西省湖口中学2022-2023学年高一下学期7月期末考试数学试题(已下线)专题突破卷11 求三角函数中ω的取值范围-1(已下线)第五章 三角函数(压轴题专练)-速记·巧练(人教A版2019必修第一册)(已下线)专题08 活用三角函数的图象与性质(6大核心考点)(讲义)四川省德阳市外国语学校2023-2024学年高一下学期入学考试数学试题
名校
解题方法
9 . 设函数
在
上的值域为
,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f248d54aad38a6d53ca10523bcffd29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b960323bac73b2e8dffbb37e7c2d60f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c9635c58e5df20634af8f685475809.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71297b58283eecdd3449b10b71f5a6be.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
10 . 设函数
定义域为
,对于区间
,如果存在
、
,
,使得
,则称区间
为函数
的“保
区间”.
(1)给出下面3个命题:
①
是函数
的“保
区间”;
②
是函数
的“保
区间”;
③
是函数
的“保
区间”.
其中正确命题的序号为______ .
(2)若
是函数
的“保
区间”,则
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e12acf98cbc2b084041352d558c6821.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c28e384ba050b238e11f7c74d3002aab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2698a5500308daa68bc4c38d5caab41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
(1)给出下面3个命题:
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2372f424431ce7b547a66b7d61d75421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cb2619aeb65a4d542263ef477fe0510.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5585ba3f4ce2fd0d3e150ef5a816ab7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b9643da0c0fea4f099f9a9133d6076.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b448fe164c2c2931805e3b3847dcdd75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c59c0a20e2dc3390392719fd7d06e78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
其中正确命题的序号为
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6257a9864ba40e27ef9cd745522d9ca8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b33fff0def2be3a5ac4a46904173f3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
您最近一年使用:0次
2023-02-14更新
|
688次组卷
|
3卷引用:北京市海淀区中国人民大学附属中学2023届高三下学期开学摸底练习数学试题