y=1/2 sin(2x-π/4)的①定义域:R
②值域:[-1/2,1/2]
③x∈[0,π/2]的最大值:1/2 最小值:-√2/4
④周期T=π
⑤奇偶性:非奇非偶
⑥单调性增区间:[kπ-π/8,kπ+3π/8]单调性增区间:[kπ+3π/8,kπ+7π/8]
⑦对称轴:x=kπ/2+3π/8,
8:对称中心:(kπ/2+π/8,0)
k∈z
y=1/2 sin(2x-π/4)的①定义域:R
②值域:[-1/2,1/2]
③x∈[0,π/2]的最大值:1/2 最小值:-√2/4
④周期T=π
⑤奇偶性:非奇非偶
⑥单调性增区间:[kπ-π/8,kπ+3π/8]单调性增区间:[kπ+3π/8,kπ+7π/8]
⑦对称轴:x=kπ/2+3π/8,
8:对称中心:(kπ/2+π/8,0)
k∈z