f[X]=sin[X-π/4]+4根号2×sinXcosX—cos[X+π/4]—2 X∈[π/4,π/2]求函数最大值我算是2根号2—2,但答案是[17根号2—16]/8请大家算一下到底是哪个正确?我的过程=sin[X-π/4+π/2]+2根号2×sin2X—cos[X+π/4]—2=2根号
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![f[X]=sin[X-π/4]+4根号2×sinXcosX—cos[X+π/4]—2 X∈[π/4,π/2]求函数最大值我算是2根号2—2,但答案是[17根号2—16]/8请大家算一下到底是哪个正确?我的过程=sin[X-π/4+π/2]+2根号2×sin2X—cos[X+π/4]—2=2根号](/uploads/image/z/3708680-32-0.jpg?t=f%5BX%5D%3Dsin%5BX-%CF%80%2F4%5D%2B4%E6%A0%B9%E5%8F%B72%C3%97sinXcosX%E2%80%94cos%5BX%2B%CF%80%2F4%5D%E2%80%942+X%E2%88%88%5B%CF%80%2F4%2C%CF%80%2F2%5D%E6%B1%82%E5%87%BD%E6%95%B0%E6%9C%80%E5%A4%A7%E5%80%BC%E6%88%91%E7%AE%97%E6%98%AF2%E6%A0%B9%E5%8F%B72%E2%80%942%2C%E4%BD%86%E7%AD%94%E6%A1%88%E6%98%AF%5B17%E6%A0%B9%E5%8F%B72%E2%80%9416%5D%2F8%E8%AF%B7%E5%A4%A7%E5%AE%B6%E7%AE%97%E4%B8%80%E4%B8%8B%E5%88%B0%E5%BA%95%E6%98%AF%E5%93%AA%E4%B8%AA%E6%AD%A3%E7%A1%AE%3F%E6%88%91%E7%9A%84%E8%BF%87%E7%A8%8B%3Dsin%5BX-%CF%80%2F4%2B%CF%80%2F2%5D%2B2%E6%A0%B9%E5%8F%B72%C3%97sin2X%E2%80%94cos%5BX%2B%CF%80%2F4%5D%E2%80%942%3D2%E6%A0%B9%E5%8F%B7)
f[X]=sin[X-π/4]+4根号2×sinXcosX—cos[X+π/4]—2 X∈[π/4,π/2]求函数最大值我算是2根号2—2,但答案是[17根号2—16]/8请大家算一下到底是哪个正确?我的过程=sin[X-π/4+π/2]+2根号2×sin2X—cos[X+π/4]—2=2根号
f[X]=sin[X-π/4]+4根号2×sinXcosX—cos[X+π/4]—2 X∈[π/4,π/2]求函数最大值
我算是2根号2—2,但答案是[17根号2—16]/8请大家算一下到底是哪个正确?
我的过程=sin[X-π/4+π/2]+2根号2×sin2X—cos[X+π/4]—2
=2根号2×sin2X—2
区间是 X∈[π/4,π/3]
f[X]=sin[X-π/4]+4根号2×sinXcosX—cos[X+π/4]—2 X∈[π/4,π/2]求函数最大值我算是2根号2—2,但答案是[17根号2—16]/8请大家算一下到底是哪个正确?我的过程=sin[X-π/4+π/2]+2根号2×sin2X—cos[X+π/4]—2=2根号
sin[X-π/4]与—cos[X+π/4]不能抵消
而是=2sin[X-π/4]
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