已知函數(shù)y=1/2sin(3x+π/6)+1,(1)求y取得最值時(shí)的x的值,(2)求函數(shù)的單調(diào)遞增區(qū)間,單調(diào)遞減區(qū)間.
已知函數(shù)y=1/2sin(3x+π/6)+1,(1)求y取得最值時(shí)的x的值,(2)求函數(shù)的單調(diào)遞增區(qū)間,單調(diào)遞減區(qū)間.
數(shù)學(xué)人氣:489 ℃時(shí)間:2019-10-24 03:55:50
優(yōu)質(zhì)解答
1)y取最大值時(shí),3x+π/6=2kπ+π/2(k∈Z) 即x=2kπ/3+π/9(k∈Z);y取最小值時(shí),3x+π/6=2kπ-π/2(k∈Z) 即x=2kπ/3-2π/9(k∈Z).2)令 2kπ-π/2≤3x+π/6≤2kπ+π/2,得:2kπ/3-2π/3≤x≤2kπ+π/9(k∈Z);令 2...
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