函數(shù)的單調(diào)性函數(shù)的單調(diào)性1觀察觀察2課件321函數(shù)的單調(diào)性13課件321函數(shù)的單調(diào)性14函數(shù)的單調(diào)性定義的幾個(gè)說(shuō)明：函數(shù)的單調(diào)性定義的幾個(gè)說(shuō)明：5-5Oxy12345-1-2-3-4123-1-2作圖是發(fā)現(xiàn)函數(shù)單調(diào)性的方法之一.-5Oxy12345-1-2-3-4123-1-2作圖是發(fā)6xy0xy0xy0xy0700008在單調(diào)區(qū)間上，增函數(shù)的圖象是上升的.在單調(diào)區(qū)間上，9在單調(diào)區(qū)間上，減函數(shù)的圖象是降低的.在單調(diào)區(qū)間上，10練一練運(yùn)用圖象法求函數(shù)單調(diào)區(qū)間練一練運(yùn)用圖象法求函數(shù)單調(diào)區(qū)間11課件321函數(shù)的單調(diào)性112方法歸納證明函數(shù)單調(diào)性的常用方法是定義法，利用定義法判斷函數(shù)單調(diào)性的步驟為：方法歸納13課件321函數(shù)的單調(diào)性114課件321函數(shù)的單調(diào)性115課件321函數(shù)的單調(diào)性116課件321函數(shù)的單調(diào)性117課件321函數(shù)的單調(diào)性118

增函數(shù)

減函數(shù)圖象圖象特征自左至右，圖象上升.自左至右，圖象下降.數(shù)量

特征y隨x的增大而增大.當(dāng)x1＜x2時(shí)，y1＜y2y隨x的增大而減小.當(dāng)x1＜x2時(shí)，y1＞y2Oxyx1x2y1y2Oxyx2x1y1y2小結(jié)：增函數(shù)減函數(shù)圖象圖象特征自左至19設(shè)數(shù)設(shè)數(shù)20函數(shù)的單調(diào)性函數(shù)的單調(diào)性21觀察觀察22課件321函數(shù)的單調(diào)性123課件321函數(shù)的單調(diào)性124函數(shù)的單調(diào)性定義的幾個(gè)說(shuō)明：函數(shù)的單調(diào)性定義的幾個(gè)說(shuō)明：25-5Oxy12345-1-2-3-4123-1-2作圖是發(fā)現(xiàn)函數(shù)單調(diào)性的方法之一.-5Oxy12345-1-2-3-4123-1-2作圖是發(fā)26xy0xy0xy0xy027000028在單調(diào)區(qū)間上，增函數(shù)的圖象是上升的.在單調(diào)區(qū)間上，29在單調(diào)區(qū)間上，減函數(shù)的圖象是降低的.在單調(diào)區(qū)間上，30練一練運(yùn)用圖象法求函數(shù)單調(diào)區(qū)間練一練運(yùn)用圖象法求函數(shù)單調(diào)區(qū)間31課件321函數(shù)的單調(diào)性132方法歸納證明函數(shù)單調(diào)性的常用方法是定義法，利用定義法判斷函數(shù)單調(diào)性的步驟為：方法歸納33課件321函數(shù)的單調(diào)性134課件321函數(shù)的單調(diào)性135課件321函數(shù)的單調(diào)性136課件321函數(shù)的單調(diào)性137課件321函數(shù)的單調(diào)性138

增函數(shù)

減函數(shù)圖象圖象特征自左至右，圖象上升.自左至右，圖象下降.數(shù)量

特征y隨x的增大而增大.當(dāng)x1＜x2時(shí)，y1＜y2y隨x的增大而減小.當(dāng)x1＜x2時(shí)，y1＞y2Oxyx1x2y1y2