三角函數(shù)圖像及性質(zhì)總結(jié) sin函數(shù)圖像性質(zhì)?
sin函數(shù)圖像性質(zhì)?正弦函數(shù)的圖像性質(zhì):①周期性:最小正周期為2π②奇偶性:奇函數(shù)③對(duì)稱性:對(duì)稱中心為(Kπ,0),K∈Z;對(duì)稱軸為直線x=Kππ/2,K∈Z④單調(diào)性:在[2Kπ-π/2,2Kππ/2
sin函數(shù)圖像性質(zhì)?
正弦函數(shù)的圖像性質(zhì):
①周期性:最小正周期為2π
②奇偶性:奇函數(shù)
③對(duì)稱性:對(duì)稱中心為(Kπ,0),K∈Z;對(duì)稱軸為直線x=Kππ/2,K∈Z
④單調(diào)性:在[2Kπ-π/2,2Kππ/2]上單調(diào)遞增,K∈Z;在[2Kππ/2,2Kπ/2][3π/2]上單調(diào)遞增,在K∈Z
定義域上單調(diào)遞減:R
取值范圍:[-1,1
]最大值:當(dāng)x=2Kπ(K∈Z)時(shí),y取最大值1;當(dāng)x=2Kπ3π/2(K∈Z)時(shí),y取最小值-1