第四章三角函数、解三角形4.3三角函数的图象与性质理INCLUDEPICTURE"E:\\莫成程\\2017\\一轮\\数学\\人A\\Word\\基础知识自主学习.TIF"\*MERGEFORMATINETINCLUDEPICTURE"E:\\莫成程\\2017\\一轮\\数学\\人A\\Word\\基础知识自主学习.TIF"\*MERGEFORMATINETINCLUDEPICTURE"E:\\莫成程\\2017\\一轮\\数学\\人A\\Word\\基础知识自主学习.TIF"\*MERGEFORMATINETINCLUDEPICTURE"E:\\莫成程\\2017\\一轮\\数学\\人A\\Word\\基础知识自主学习.TIF"\*MERGEFORMATINETINCLUDEPICTURE"\\\\张红\\e\\张红\\看PPT\\2017\\一轮\\一校\\大一轮\\数学人A(理)\\WORD1.1~5.3成程\\基础知识自主学习.TIF"\*MERGEFORMATINETINCLUDEPICTURE"E:\\张红\\看PPT\\2017\\一轮\\一校\\大一轮\\数学人A(理)\\WORD1.1~5.3成程\\基础知识自主学习.TIF"\*MERGEFORMATINET1.用五点法作正弦函数和余弦函数的简图正弦函数y=sinx,x∈[0,2π]的图象中,五个关键点是:(0,0),(,1),(π,0),(,-1),(2π,0).余弦函数y=cosx,x∈[0,2π]的图象中,五个关键点是:(0,1),(,0),(π,-1),(,0),(2π,1).2.正弦函数、余弦函数、正切函数的图象与性质函数y=sinxy=cosxy=tanx图象INCLUDEPICTURE"E:\\莫成程\\2017\\一轮\\数学\\人A\\Word\\4-19.TIF"\*MERGEFORMATINETINCLUDEPICTURE"E:\\莫成程\\2017\\一轮\\数学\\人A\\Word\\4-19.TIF"\*MERGEFORMATINETINCLUDEPICTURE"E:\\莫成程\\2017\\一轮\\数学\\人A\\Word\\4-19.TIF"\*MERGEFORMATINETINCLUDEPICTURE"E:\\莫成程\\2017\\一轮\\数学\\人A\\Word\\4-19.TIF"\*INCLUDEPICTURE"E:\\莫成程\\2017\\一轮\\数学\\人A\\Word\\4-20.TIF"\*MERGEFORMATINETINCLUDEPICTURE"E:\\莫成程\\2017\\一轮\\数学\\人A\\Word\\4-20.TIF"\*MERGEFORMATINETINCLUDEPICTURE"E:\\莫成程\\2017\\一轮\\数学\\人A\\Word\\4-20.TIF"\*MERGEFORMATINETINCLUDEPICTUREINCLUDEPICTURE"E:\\莫成程\\2017\\一轮\\数学\\人A\\Word\\4-21.TIF"\*MERGEFORMATINETINCLUDEPICTURE"E:\\莫成程\\2017\\一轮\\数学\\人A\\Word\\4-21.TIF"\*MERGEFORMATINETINCLUDEPICTURE"E:\\莫成程\\2017\\一轮\\数学\\人A\\Word\\4-21.TIF"\*MERGEFORMATINETINCLUDEPICTURE1MERGEFORMATINETINCLUDEPICTURE"\\\\张红\\e\\张红\\看PPT\\2017\\一轮\\一校\\大一轮\\数学人A(理)\\WORD1.1~5.3成程\\4-19.TIF"\*MERGEFORMATINETINCLUDEPICTURE"E:\\张红\\看PPT\\2017\\一轮\\一校\\大一轮\\数学人A(理)\\WORD1.1~5.3成程\\4-19.TIF"\*MERGEFORMATINET"E:\\莫成程\\2017\\一轮\\数学\\人A\\Word\\4-20.TIF"\*MERGEFORMATINETINCLUDEPICTURE"\\\\张红\\e\\张红\\看PPT\\2017\\一轮\\一校\\大一轮\\数学人A(理)\\WORD1.1~5.3成程\\4-20.TIF"\*MERGEFORMATINETINCLUDEPICTURE"E:\\张红\\看PPT\\2017\\一轮\\一校\\大一轮\\数学人A(理)\\WORD1.1~5.3成程\\4-20.TIF"\*MERGEFORMATINET"E:\\莫成程\\2017\\一轮\\数学\\人A\\Word\\4-21.TIF"\*MERGEFORMATINETINCLUDEPICTURE"\\\\张红\\e\\张红\\看PPT\\2017\\一轮\\一校\\大一轮\\数学人A(理)\\WORD1.1~5.3成程\\4-21.TIF"\*MERGEFORMATINETINCLUDEPICTURE"E:\\张红\\看PPT\\2017\\一轮\\一校\\大一轮\\数学人A(理)\\WORD1.1~5.3成程\\4-21.TIF"\*MERGEFORMATINET定义域RR{x|x∈R且x≠+kπ,k∈Z}值域[-1,1][-1,1]R单调性在[-+2kπ,+2kπ](k∈Z)上递增;在[+2kπ,+2kπ](k∈Z)上递减在[-π+2kπ,2kπ](k∈Z)上递增;在[2kπ,π+2kπ](k∈Z)上递减在(-+kπ,+kπ)(k∈Z)上递增最值当x=+2kπ(k∈Z)时,ymax=1;当x=-+2kπ(k∈Z)时,ymin=-1当x=2kπ(k∈Z)时,ymax=1;当x=π+2kπ(k∈Z)时,ymin=-1奇偶性奇函数偶函数奇函数对称中心(kπ,0)(k∈Z)(+kπ,0)(k∈Z)(,0)(k∈Z)对称轴方程x=+kπ(k∈Z)x=kπ(k∈Z)周期2π2ππ【知识拓展】21.对称与周期(1)正弦曲线、余弦曲线相邻两对称中心、相邻两对称轴之间的距离是半个周期,相邻的对称中心与对称轴之间的距离是个周期.(2)正切曲线相邻两对称中心之间的距离...