求解,高一数学,
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1:
最大值就是4,此时2x+π/3=2kπ+π/2
即:x=kπ+π/12(k∈Z)
2:
增区间,即:2x+π/3∈[2kπ-π/2,2kπ+π/2]
即:x∈[kπ-5π/12,kπ+π/12](k∈Z)
3:
对称轴,即2x+π/3=kπ+π/2
x=kπ/2+π/12(k∈Z)
对称中心,即2x+π/3=kπ
x=kπ/2-π/6(k∈Z)
最大值就是4,此时2x+π/3=2kπ+π/2
即:x=kπ+π/12(k∈Z)
2:
增区间,即:2x+π/3∈[2kπ-π/2,2kπ+π/2]
即:x∈[kπ-5π/12,kπ+π/12](k∈Z)
3:
对称轴,即2x+π/3=kπ+π/2
x=kπ/2+π/12(k∈Z)
对称中心,即2x+π/3=kπ
x=kπ/2-π/6(k∈Z)
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追答
1:
2x+π/3=2kπ+π/2
2x=2kπ+π/6
x=x=kπ+π/12(k∈Z)
2:
2x+π/3∈[2kπ-π/2,2kπ+π/2]
2x∈[2kπ-5π/6,2kπ+π/6]
x∈[kπ-5π/12,kπ+π/12](k∈Z)
3:
2x+π/3=kπ+π/2
2x=kπ+π/6
x=kπ/2+π/12(k∈Z)
2x+π/3=kπ
2x=kπ-π/3
x=kπ/2-π/6(k∈Z)
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