求画函数f(x)=根号2sin(2x+π/4)在【π/3,4π/3】图像函数f(x)=根号2sin(2x+π/4)在【π/3,4π/3】图像(我们老师给的横坐标是π/3,5π/8,7π/8,9π/8,4π/3.如果可以的话麻烦给我个图.要最大值和最小值的啦.然

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/15 06:45:49
求画函数f(x)=根号2sin(2x+π/4)在【π/3,4π/3】图像函数f(x)=根号2sin(2x+π/4)在【π/3,4π/3】图像(我们老师给的横坐标是π/3,5π/8,7π/8,9π/8,

求画函数f(x)=根号2sin(2x+π/4)在【π/3,4π/3】图像函数f(x)=根号2sin(2x+π/4)在【π/3,4π/3】图像(我们老师给的横坐标是π/3,5π/8,7π/8,9π/8,4π/3.如果可以的话麻烦给我个图.要最大值和最小值的啦.然
求画函数f(x)=根号2sin(2x+π/4)在【π/3,4π/3】图像
函数f(x)=根号2sin(2x+π/4)在【π/3,4π/3】图像(我们老师给的横坐标是π/3,5π/8,7π/8,9π/8,4π/3.如果可以的话麻烦给我个图.要最大值和最小值的啦.然后要是顺便告诉我下过程就更好啦!谢谢啦!

求画函数f(x)=根号2sin(2x+π/4)在【π/3,4π/3】图像函数f(x)=根号2sin(2x+π/4)在【π/3,4π/3】图像(我们老师给的横坐标是π/3,5π/8,7π/8,9π/8,4π/3.如果可以的话麻烦给我个图.要最大值和最小值的啦.然

答:

f(x)=√2sin(2x+π/4)

x=π/3, 2x=2π/3,2x+π/4=11π/12

x=5π/8,2x=5π/4,2x+π/4=3π/2,sin(2x+π/4)=-1

x=7π/8,2x=7π/4,2x+π/4=2π,   sin(2x+π/4)=0

x=9π/8,2x=9π/4,2x+π/4=5π/2=2π+π/2,sin(2x+π/4)=1

x=4π/3,2x=8π/3,2x+π/4=35π/12=2π+11π/12

所以:

f(x)最大值为√2,最小值-√2