已知函数
.
(1)当
时,求
的值域和单调减区间;
(2)若
关于
对称,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99e1b6f2b9eaffe62a1410817ca8537b.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2730e513f07104396bce68df27f2845a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f56a20bc5fce6b02217627b42249854.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36147b337922582fd05170fefd47cc72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
20-21高一·浙江·期末 查看更多[4]
(已下线)【新东方】在线数学38(已下线)【新东方】在线数学 (18)浙江省嘉兴市桐乡市高级中学2021-2022学年高一(7-17班)12月阶段教学质量检测数学试题1.10本章小结(作业)-2020-2021学年高一数学北师大版2019必修第二册
更新时间:2021-01-19 12:52:58
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【推荐1】如图所示,
分别是单位圆与
轴、
轴正半轴的交点,点
在单位圆上,
,点
坐标为(-3,0),平行四边形
的面积为
.
![](https://img.xkw.com/dksih/QBM/2021/7/21/2769114699841536/2778151199064064/STEM/9b2509bf-8303-4954-9d8b-68274ff95550.png?resizew=273)
(1)求
的最大值;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b18271ef43d1dc2d41de35e1113a6469.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8501d0d0917907b3b1a3d73516a1d4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://img.xkw.com/dksih/QBM/2021/7/21/2769114699841536/2778151199064064/STEM/9b2509bf-8303-4954-9d8b-68274ff95550.png?resizew=273)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/001bd1cc323b30c06aee42b124333f76.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/926413579a78389bae43da2ed725524d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cff1a39b4d24e007eada80b8af808b35.png)
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【推荐2】已知向量
,
,函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa57b05c7b6ae990dfa166eeee7b1c74.png)
(1)求
的最小正周期和单调增区间;
(2)求
在区间
上的最大值和最小值,并求出相应
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e8d519546aa3d263848a512f439d192.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48ae2ac03974e5e1e13acaadc649d24e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa57b05c7b6ae990dfa166eeee7b1c74.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18c9aeed3c8c5a04e48d011c607f9142.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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【推荐1】已知函数
图象的一个对称中心为
,其中
为常数,且
.
(1)求函数
的解析式;
(2)已知函数
,若存在
,均有
,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/520b2ed85136b0db0407c3d6d6d8646b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62ecd99ecc761ae5bde5b9712833a9ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d146b35aafbdf1191e16672217cea74d.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/833ebd4583bd00c97e396c3dd0383afc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0a345a94ef886f49d7e3517b0bd4fbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e63bbadc6250f7139836ede33205550.png)
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【推荐2】已知函数
,
;
(1)用“五点作图法”画出函数在一个周期内的图像(体现作图过程);
(2)若
的图像关于点
对称,且
,求
的值;
(3)不等式
对任意的
恒成立,求实数
的取值范围;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eed4cbe855cac33fc5c17e3b561422f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
(1)用“五点作图法”画出函数在一个周期内的图像(体现作图过程);
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc2ae5a4c0e26403de012495d5207ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3038a4b8c02b12b821fbd0fd69145900.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d40b0c4fd043d372c463db08659e779.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(3)不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab66dbadf24162e3db57849591073717.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e9c48e36f2c35dd8308029445332aa8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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【推荐3】
的内角
的对边分别为
,已知函数
一条对称轴为
,且
.
(1)求
的值;
(2)若
,求
的面积最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/975730366abd311a378f04bd29ea7207.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24db7b603aebdee8e298d1fe49c848e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3819e3abe5ba10dc15142a6a8a616ef6.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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【推荐1】函数
在一个周期内的图象如图所示,
为图象的最高点,
、
为图象与
轴的交点,且
为正三角形.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/13/556cd18e-8583-4889-9a4c-c24425b4f4cf.png?resizew=187)
(1)求
的值及函数
的单调减区间;
(2)若
,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb54d6fc408d2c8d3ac5cd112867f99d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/13/556cd18e-8583-4889-9a4c-c24425b4f4cf.png?resizew=187)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fed3f0c5b41b4ae5373994d114b7a567.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f524442daa200dc136dfbb50e8aeaf3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79d73d3435312ad9933e55bb07b85455.png)
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【推荐2】函数
的部分图象如图所示.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/3/e3034552-ee56-4319-81b4-edcd8c25cdb8.png?resizew=167)
(1)求函数
的解析式;
(2)先将
的图象向右平移
个单位长度,再将得到的图象上各点的横坐标变为原来的2倍(纵坐标不变)得到函数
的图象,求
的单调递增区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48799b5df4c0a98f929f9301cca322ba.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/3/e3034552-ee56-4319-81b4-edcd8c25cdb8.png?resizew=167)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)先将
![](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/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
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