解题方法
1 . 已知函数
的部分图像如图所示,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
________ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46626b75bd7bc420bf32b66e3253b40b.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/703b4493b66a538140dd12bb3b268a7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46626b75bd7bc420bf32b66e3253b40b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/29/9080df2e-f587-4e67-9314-6b2d6117cb52.png?resizew=151)
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2 . 函数
的部分图象如图所示,则
的单调递增区间为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/30/da5263a9-0135-4415-a6d6-d7b139b042f8.png?resizew=189)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc1a15385fae7a39110f34587b3119d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/30/da5263a9-0135-4415-a6d6-d7b139b042f8.png?resizew=189)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2020-04-28更新
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486次组卷
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4卷引用:2020届北京市密云区高三下学期第一次阶段性测试(一模)数学试题
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3 . 函数
的部分图象如图所示,其中
,
,
.
的解析式;
(Ⅱ)求
在区间
上的最大值和最小值;
(Ⅲ)写出
的单调递增区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5e2a383cb47eb87493e86c8c40caf0.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/a8114625c484d5ecfab3828b0b9c88d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(Ⅱ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e491151109a22b53131ba3203da29837.png)
(Ⅲ)写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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2020-06-15更新
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501次组卷
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5卷引用:北京市鲁迅中学2019-2020学年高二第二学期诊断性测试数学试题
北京市鲁迅中学2019-2020学年高二第二学期诊断性测试数学试题北京市怀柔区第一中学2022-2023学年高一下学期5月期中检测数学试题北京市怀柔区青苗学校普高部2023-2024学年高一下学期期中考试数学试卷北京高一专题03三角函数(第三部分)(已下线)专题5.8 三角函数的图象与性质的综合应用大题专项训练-举一反三系列
4 . 函数
在一个周期内的图象如图所示,其中P,Q分别是这段图象的最高点和最低点,M,N是图象与x轴的交点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
______ ,若
,则A=______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/571cda3966049e6cc2ac6f8b0e1ad24b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3afe666651f907e0a0a93e6dd6ff559.png)
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5 . 已知函数
的部分图象如图1所示,A,B分别为图象的最高点和最低点,过A作x轴的垂线,交x轴于点
,点C为该部分图象与x轴的交点.将绘有该图象的纸片沿x轴折成直二面角,如图2所示,给出下列四个结论:
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/17/8e2738bb-50bd-4451-9836-f1e8fd605a74.png?resizew=161)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/17/7bc18b7f-2cf8-40a7-98b4-b6ec9b7dd4f1.png?resizew=260)
图1 图2
①
;②图2中,
;③图2中,过线段AB的中点且与AB垂直的平面与x轴交于点C;④图2中,S是
及其内部的点构成的集合.设集合
,则T表示的区域的面积大于
.其中所有正确结论的序号是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e1efd63f3476fdab4dd04d0ee34ddec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/17/8e2738bb-50bd-4451-9836-f1e8fd605a74.png?resizew=161)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/17/7bc18b7f-2cf8-40a7-98b4-b6ec9b7dd4f1.png?resizew=260)
图1 图2
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47d47dbed3333b180fce58a6d9e440f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d363758a1cc53a47db20561e40638692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2df93bd15f25096c510b589aad0dfc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/920548c598eaa687886c485c07b249df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5e24f048f9a87274863ba2c037d7a5c.png)
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6 . 某同学用“五点法”作函数
在某一个周期内的图象时,列表并填入了部分数据,如表:
(1)求函数
的解析式;
(2)求
在
上的最大值和最小值;
(3)若
,且
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6df108a6673549ada1d2a2c7e14d30eb.png)
![]() | ![]() | ![]() | |||
![]() | ![]() | ![]() | ![]() | ![]() | ![]() |
![]() | ![]() | ![]() | ![]() |
![](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/44d51992c05a557cf6058664f1f8961e.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ffd1f6bd3686a07efa4086a02b96a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd5e026a565c24617edc36f82fd85e63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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7 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6a1a187bee0ac1a1a7849bfd06b17d.png)
的部分图象如图所示.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/30/7e327287-f805-4713-9319-ecd2bfb0985b.png?resizew=189)
(Ⅰ)求
的值;
(Ⅱ)求函数
在
上的单调区间;
(Ⅲ)若对任意
都有
,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6a1a187bee0ac1a1a7849bfd06b17d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c44497a2639ae7584e66b7030f03045.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/30/7e327287-f805-4713-9319-ecd2bfb0985b.png?resizew=189)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69b5b8c4c24eab782174c5cae1b88a5.png)
(Ⅱ)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3aae9c8988f4a48db69cad3308942c9.png)
(Ⅲ)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a6683763970ec8eea9197321a8c3f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71c16de9e6c788ee69497b8054f6e6db.png)
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2020-02-08更新
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469次组卷
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2卷引用:北京市通州区2019-2020学年高一上学期期末数学试题
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8 . 已知函数f (x) = A sin (ωx + φ)的部分图象如图所示,则f (x)的表达式可以为( )
![](https://img.xkw.com/dksih/QBM/2021/11/6/2845717540069376/2849052873564160/STEM/b160c70a12e8482f9a5282b18e92dfcd.png?resizew=135)
![](https://img.xkw.com/dksih/QBM/2021/11/6/2845717540069376/2849052873564160/STEM/b160c70a12e8482f9a5282b18e92dfcd.png?resizew=135)
A.f (x) = 2sin![]() | B.f (x) =2sin ![]() |
C.f (x) =2sin![]() | D.f (x) = -2sin![]() |
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9 . 函数的图象如图所示,为了得到函数
的图象,可以把函数
的图象
![](https://img.xkw.com/dksih/QBM/2018/4/1/1914872329240576/1915972708294656/STEM/2c910b26c40f4edbb03a547989ae54bb.png?resizew=330)
A.每个点的横坐标缩短到原来的![]() ![]() |
B.每个点的横坐标伸长到原来的![]() ![]() |
C.先向左平移![]() ![]() |
D.先向左平移![]() ![]() |
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2018-04-03更新
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935次组卷
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7卷引用:北京市海淀区2017-2018学年高一上学期期末考试数学试题
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10 . 函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7107b4a0d1ca5eb5f360aed4c4f1306e.png)
的图象如图所示,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4d3984548c2bae2f157c3c9b3812fea.png)
________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7107b4a0d1ca5eb5f360aed4c4f1306e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ea92b4433dc53c97da55719b6ded152.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4d3984548c2bae2f157c3c9b3812fea.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/1b1f1aa1-9f2a-4c9a-8846-009347f867d7.png?resizew=134)
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2021-08-01更新
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2卷引用:北京市八一学校2023-2024学年高二上学期10月月考数学试题