函數(shù)的奇偶性學(xué)案2

1、〖教學(xué)目的教學(xué)目的〗使學(xué)生理解函數(shù)奇偶性的概念并能判斷一些簡單函數(shù)在給定區(qū)間上的單調(diào)性培養(yǎng)學(xué)生審美觀點(diǎn)滲透數(shù)形結(jié)合的思想〖教學(xué)重點(diǎn)教學(xué)重點(diǎn)〗函數(shù)奇偶性的概念及判斷〖教學(xué)難點(diǎn)教學(xué)難點(diǎn)〗函數(shù)奇偶性的判斷〖教學(xué)過程教學(xué)過程〗一.導(dǎo)入新課導(dǎo)入新課舉例:日常生活中的對(duì)稱現(xiàn)象觀察:函數(shù)和的圖象對(duì)稱性2xy?)0(1???xxy[來源:]思考:如果函數(shù)的圖象關(guān)于軸對(duì)稱把此圖象沿軸對(duì)折那)(xfy?yy么圖象上點(diǎn)與圖象上哪一個(gè)點(diǎn)重合如果函數(shù)的圖))((

2、00xfx)(xfy?象關(guān)于原點(diǎn)對(duì)稱把此圖象繞原點(diǎn)旋轉(zhuǎn)180那么圖象上點(diǎn)與圖象上哪一個(gè)點(diǎn)重合))((00xfx二.講授新課講授新課一般地如果對(duì)于函數(shù)的定義域內(nèi)的任意一個(gè)都有)(xfx那么稱函數(shù)是偶函數(shù)如果對(duì)于函數(shù)的定)()(xfxf??)(xfy?)(xf義域內(nèi)的任意一個(gè)都有那么稱函數(shù)是奇函數(shù).如x)()(xfxf???)(xfy?果函數(shù)是奇函數(shù)或偶函數(shù)我們就說函數(shù)具有奇偶性.函數(shù))(xf)(xf為偶函數(shù)的圖象關(guān)于軸對(duì)稱)(xf?)(x