求画函数f(x)=根号2sin(2x+π/4)在【π/3,4π/3】图像

学习 时间:2026-04-03 08:54:58 阅读:4928
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!

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轻松的香烟

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2026-04-03 08:54:58

答:f(x)=√2sin(2x+π/4)x=π/3, 2x=2π/3,2x+π/4=11π/12x=5π/8,2x=5π/4,2x+π/4=3π/2,sin(2x+π/4)=-1x=7π/8,2x=7π/4,2x+π/4=2π,   sin(2x+π/4)=0x=9π/8,2x=9π/4,2x+π/4=5π/2=2π+π/2,sin(2x+π/4)=1x=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 再问: �ոյ�̫���ˣ���ȷ���ˡ�û�����Ǹ���꣬������һ�龹Ȼ������ش�ٺ١������㻹�Ǹ��ҵĸոո��ҵ��Ƿ�ͼTAT�����й��Ҳ����лл������������������ 再答: �Ǻǣ�����ܰ�ԭ���ṩ���ң������֪����Ŀ���������ͼ���ش���еķ�ʸ

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  • 平常的大象
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    2026-04-03 08:54:58

    答:f(x)=√2sin(2x+π/4)x=π/3, 2x=2π/3,2x+π/4=11π/12x=5π/8,2x=5π/4,2x+π/4=3π/2,sin(2x+π/4)=-1x=7π/8,2x=7π/4,2x+π/4=2π,   sin(2x+π/4)=0x=9π/8,2x=9π/4,2x+π/4=5π/2=2π+π/2,sin(2x+π/4)=1x=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 再问: �ոյ�̫���ˣ���ȷ���ˡ�û�����Ǹ���꣬������һ�龹Ȼ������ش�ٺ١������㻹�Ǹ��ҵĸոո��ҵ��Ƿ�ͼTAT�����й��Ҳ����лл������������������ 再答: �Ǻǣ�����ܰ�ԭ���ṩ���ң������֪����Ŀ���������ͼ���ش���еķ�ʸ

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