题目
题型:解答题难度:简单来源:不详
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005709-30646.png)
(1)用五点法在给定的坐标系中作出函数一个周期的图象;
(2)求此函数的振幅、周期和初相;
(3)求此函数图象的对称轴方程、对称中心.
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005709-21067.jpg)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005709-24031.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005709-51307.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005709-86043.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005710-18106.png)
解析
试题分析:(1)利用五点作图法即可做出图像;(2)根据周期、振幅、初相的概念即可求出结果;(3)令
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005710-50378.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005709-51307.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005709-86043.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005710-62623.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005710-77129.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005709-86043.png)
解:(1)列表:
x | ![]() | ![]() | ![]() | ![]() | ![]() |
![]() | 0 | ![]() | ![]() | ![]() | 2![]() |
3sin![]() | 0 | 3 | 0 | -3 | 0 |
描点、连线,如图所示:
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005712-47606.jpg)
(2)周期T=
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005712-45968.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005712-77554.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005709-86043.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005709-24031.png)
(3)令
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005710-50378.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005709-51307.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005709-86043.png)
得x=2k
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005709-86043.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005712-98921.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005709-86043.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005710-62623.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005710-77129.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005709-86043.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005709-51307.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005709-86043.png)
对称中心为
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005710-18106.png)
核心考点
试题【已知函数y=3sin (1)用五点法在给定的坐标系中作出函数一个周期的图象;(2)求此函数的振幅、周期和初相;(3)求此函数图象的对称轴方程、对称中心.】;主要考察你对正弦函数的图象与性质等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005640-35887.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005640-65648.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005640-28206.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005640-20536.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005640-57913.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005641-93472.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005633-31353.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005633-35227.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005633-75888.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005633-96587.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005633-35227.png)
(2)如果
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005634-58640.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005634-56776.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005634-37652.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005634-44227.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005519-52879.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005519-82365.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005446-34772.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005446-32814.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005446-31395.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005447-64381.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005447-64381.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005446-31395.png)
(1)已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005447-18931.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005447-14794.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005447-64381.png)
(2)记向量
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005447-77134.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005448-84318.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005448-84318.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005448-56959.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005448-36884.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005448-40477.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005448-73702.png)
(3)对于函数
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005449-15755.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005449-57034.png)
若不存在,请说明理由.
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005417-21345.png)
(1)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005417-16818.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005417-16818.png)
(2)已知
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005417-70067.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005418-32969.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190830/20190830005418-90422.jpg)
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