名校
解题方法
1 . 已知函数
,
.
(1)设
.若
恰有两个零点
、
,且
.判断函数
的奇偶性(只需给出结论,不需写证明过程),并求实数
的值;
(2)若
,
,
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8c1435ac112f1a98c40725d361d20b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd055fc5fdc69045fd6d4bca7c37eab3.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1298b16851618bb8884791817a78d0a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ab0fdded94776c7e330d6c21ab4860a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9159bc3e165a4f2ee9d67f8f5180e7bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/544f91d4fb22c571db9f8481b72a0419.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35eac3ba2858adffcd1f8052cd795269.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ea7936ad4048b3fc87a81d5469ec33e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61649f88b8cbbb573713ff3fe3097d0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
名校
解题方法
2 . 已知函数
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/27/2b0866b7-c24c-43f4-800c-ce9dc3afa557.png?resizew=199)
(1)求当
取得最大值时,
的取值集合;
(2)完成下列表格并在给定的坐标系中,画出函数
在
上的图象.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8dea3b38dad6a6b31bf09babc6c221e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/27/2b0866b7-c24c-43f4-800c-ce9dc3afa557.png?resizew=199)
(1)求当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)完成下列表格并在给定的坐标系中,画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb4b61d912f99e5583e7e17cf8fef558.png)
您最近一年使用:0次
2024-02-21更新
|
576次组卷
|
3卷引用:湖北省十堰市丹江口市第二中学2023-2024学年高一下学期开学考试数学试题
湖北省十堰市丹江口市第二中学2023-2024学年高一下学期开学考试数学试题(已下线)1.5 正弦函数、余弦函数的图象与性质再认识3种常见考法归类-【帮课堂】(北师大版2019必修第二册)辽宁省鞍山市第一中学2023-2024学年高一下学期第三次月考数学试卷
名校
解题方法
3 . 已知函数
满足:对
,都有
,且当
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53b0337b2d14c529ae61d4fd9a975459.png)
函数
.
(1)求实数
的值,并写出函数
在区间
的零点
无需证明
;
(2)函数
,
,是否存在实数
,使得
恒成立?若存在,求出
的取值范围;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ad5fe274cfc8da2dacfb65801f344ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4c68e603ad17bf72634d2cc6d785ca5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20111317cfd9de576cb594063b92acb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53b0337b2d14c529ae61d4fd9a975459.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/804c08d1b45ecee648f2f745884c0874.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b7c2420c387be8882df4359ac10b86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/788273681f22dd4f097e90c5de1821e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd995178601c2ad7b40f973d268c7bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5cee84381134d1937627d7b4eff6308.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de535172010550ecee49cfcbfd752897.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
名校
解题方法
4 . 已知函数
,
.
(1)若
的最小值为
,求实数
的值;
(2)当
时,若
,
,都有
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b37d731c58d6aae3a7feff8fdb8b94d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf95eab8ecee97f99978e83b0c8f0d19.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81fb134b2b48acc99213fff6ccfee65f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200f24e682c93e02a87f3f9d57dc5d40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/703c71e301b4bdaef96da0c9769adbe7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/287e397fd53dc63328299a520281facc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6cd6de7210a634d1a083ca941c741ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024-02-17更新
|
706次组卷
|
5卷引用:湖北省宜荆荆随恩重点高中教研协作体2023-2024学年高一下学期3月联考数学试卷B卷
湖北省宜荆荆随恩重点高中教研协作体2023-2024学年高一下学期3月联考数学试卷B卷福建省三明市2023-2024学年高一上学期期末质量检测数学试题广西南宁市第二中学2023-2024学年高一下学期开学考试数学试卷重庆市璧山来凤中学校2023-2024学年高一下学期3月月考数学试题(已下线)专题02三角函数的图像与性质期末10种常考题型归类-《期末真题分类汇编》(人教B版2019必修第三册)
解题方法
5 . 已知
,集合
,
.
(1)若
,求
;
(2)若“
”是“
”的充分不必要条件,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e37c35e33ffa1a55a0693ae2319da91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b3cbe0e66f91954f02b91dd70e7a4f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97657d2f5d3c313bb612addd773cb4e0.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aeec5a1f1bb49c8270e206fa892f372.png)
(2)若“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
您最近一年使用:0次
2024-02-17更新
|
444次组卷
|
4卷引用:湖北省黄冈大光华高级中学2023-2024学年高一下学期第二次半月考数学试卷
6 . 已知函数
.
(1)判断并证明函数
的奇偶性;
(2)判断函数
在定义域上的单调性,并用单调性的定义证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66762b46532b9c7224ce11eb3265f60.png)
(1)判断并证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
7 . 我们知道:设函数
的定义域为D,那么“函数
的图象关于原点成中心对称图形”的充要条件是“
,
”.有同学发现可以将其推广为:设函数
的定义域为D,那么“函数
的图象关于点(m,n)成中心对称图形”的充要条件是“
,
”已知
.
(1)利用上述结论,证明:
的图象关于点
成中心对称图形;
(2)判断
的单调性(无需证明),并解关于x的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc1da2db85b44ae9ced8c09cd19593e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a57eb010ff662d57396d079222c0cdad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc1da2db85b44ae9ced8c09cd19593e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0381746695cc95095bd5f248b707ea1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc8f7c92dca9e48db1da75fbad2a7287.png)
(1)利用上述结论,证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a49a26cf164e6f90fbd6fadd34bb82fc.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5246be48b0389b4a60952950875d352d.png)
您最近一年使用:0次
解题方法
8 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53cadfb35fdf4783758891e8b4bb928c.png)
(1)当
时,解不等式
;
(2)已知
,当
时,若对任意的
,总存在
,使
成立,求正实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53cadfb35fdf4783758891e8b4bb928c.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e38c541dec8fce1d26886e5ef7d21f.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/163cc6095a37649c9f31656f5d77aa53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/204687ff0d957eece42db00f067f15a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/983e07314433b8a027b766efeb2c9202.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48bd584305648283baacc9d04d013eba.png)
您最近一年使用:0次
名校
解题方法
9 . 已知角
的终边经过点
,求:
(1)
的值
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/111fc953684b51df437ef2bc02290ad5.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7aee715ac87a76f7a00996af77481ed.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e1df096ac7f80c2b11d2ad83b2134a3.png)
您最近一年使用:0次
2024-02-13更新
|
655次组卷
|
6卷引用:湖北省A9高中联盟2023-2024学年高一上学期期末联考数学试题
湖北省A9高中联盟2023-2024学年高一上学期期末联考数学试题(已下线)1.4-1.5 正余弦函数的图象和性质(1)-同步精品课堂(北师大版2019必修第二册)(已下线)1.4 正弦函数和余弦函数的概念及其性质7种常见考法归类(2) - -【帮课堂】(北师大版2019必修第二册)江西省吉安市泰和中学2023-2024学年高一下学期第一次月考数学试题(B)(已下线)专题6 考前优质试题精选练(6)(北师大版高一期中)(已下线)第7章:三角函数章末综合检测卷-【帮课堂】(人教B版2019必修第三册)
名校
解题方法
10 . 已知函数
和函数
.
(1)若函数
的定义域为
,求实数
的取值范围;
(2)是否存在非负实数
,
,使得函数
的定义域为
,值域为
,若存在,求出
,
的值;若不存在,则说明理由;
(3)当
时,求函数
的最大值
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/679da8a975f3a340f456d205b9da9a42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ddc9f36b8445e3a76b256fb3c993739.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cabfffc9b4a998a011f8e119dac168e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)是否存在非负实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f07fe3c25bebd35177f91805c6a78492.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/119b20f27ee885c82edf447d24cc0cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a959e5ffc2a5c0d8f6c4f1bc6e824885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0867d838f1ce9d5055c2f45d38cb4db7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a90170d7ef5ff6d1d63517c166f7a9.png)
您最近一年使用:0次
2024-02-13更新
|
537次组卷
|
3卷引用:湖北省武汉市新洲区部分学校2023-2024学年高一上学期期末质量检测数学试卷
湖北省武汉市新洲区部分学校2023-2024学年高一上学期期末质量检测数学试卷四川省绵阳南山中学2023-2024学年高一下学期入学考试数学试题(已下线)专题02三角函数的图像与性质期末10种常考题型归类-《期末真题分类汇编》(人教B版2019必修第三册)