第二章函数与基本初等函数I2.4指数与指数函数理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"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"\\\\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"\*MERGEFORMATINET1.二次函数(1)二次函数解析式的三种形式①一般式:f(x)=ax2+bx+c(a≠0).②顶点式:f(x)=a(x-m)2+n(a≠0).③零点式:f(x)=a(x-x1)(x-x2)(a≠0).(2)二次函数的图象和性质解析式f(x)=ax2+bx+c(a>0)f(x)=ax2+bx+c(a<0)图象INCLUDEPICTURE"E:\\莫成程\\2017\\一轮\\数学\\人A\\Word\\2-11.TIF"\*MERGEFORMATINETINCLUDEPICTURE"E:\\莫成程\\2017\\一轮\\数学\\人A\\Word\\2-11.TIF"\*MERGEFORMATINETINCLUDEPICTURE"E:\\莫成程\\2017\\一轮\\数学\\人A\\Word\\2-11.TIF"\*MERGEFORMATINETINCLUDEPICTURE"E:\\莫成程\\2017\\一轮\\数学\\人A\\Word\\2-11.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\\2-11.TIF"\*MERGEFORMATINETINCLUDEPICTURE"E:\\莫成程\\2017\\一轮\\数学\\人A\\Word\\2-12.TIF"\*MERGEFORMATINETINCLUDEPICTURE"E:\\莫成程\\2017\\一轮\\数学\\人A\\Word\\2-12.TIF"\*MERGEFORMATINETINCLUDEPICTURE"E:\\莫成程\\2017\\一轮\\数学\\人A\\Word\\2-12.TIF"\*MERGEFORMATINETINCLUDEPICTURE"E:\\莫成程\\2017\\一轮\\数学\\人A\\Word\\2-12.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\\2-12.TIF"\*MERGEFORMATINET1INCLUDEPICTURE"\\\\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\\2-11.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\\2-12.TIF"\*MERGEFORMATINET定义域(-∞,+∞)(-∞,+∞)值域单调性在x∈上单调递减;在x∈上单调递增在x∈上单调递增;在x∈上单调递减对称性函数的图象关于x=-对称2.幂函数(1)定义:一般地,函数y=xα叫做幂函数,其中x是自变量,α是常数.(2)幂函数的图象比较INCLUDEPICTURE"E:\\莫成程\\2017\\一轮\\数学\\人A\\Word\\2-13.TIF"\*MERGEFORMATINETINCLUDEPICTURE"E:\\莫成程\\2017\\一轮\\数学\\人A\\Word\\2-13.TIF"\*MERGEFORMATINETINCLUDEPICTURE"E:\\莫成程\\2017\\一轮\\数学\\人A\\Word\\2-13.TIF"\*MERGEFORMATINETINCLUDEPICTURE"E:\\莫成程\\2017\\一轮\\数学\\人A\\Word\\2-13.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\\2-13.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\\2-13.TIF"\*MERGEFORMATINET(3)幂函数的性质①幂函数在(0,+∞)上都有定义;②幂函数的图象过定点(1,1);③当α>0时,幂函数的图象都过点(1,1)和(0,0),且在(0,+∞)上单调递增;④当α<0时,幂函数的图象都过点(1,1),且在(0,+∞)上单调递减.【知识拓展】1.若f(x)=ax2+bx+c(a≠0),则当时恒有f(x)>0,当时,恒有f(x)<0.2.幂函数的图象和性质(1)幂函数的图象一定会出现在第一象限内,一定不会出现在第四象限,至于是否出现在第二、三象限内,要看函数的奇偶性.(2)幂函数的图象过定点(1,1),如果幂函数的图象与坐标轴相交,则交点一定是原点.2【...