蘇教版數(shù)學(xué)必修一知識(shí)梳理及題型

1、1函數(shù)重要知識(shí)點(diǎn)及題型函數(shù)重要知識(shí)點(diǎn)及題型一函數(shù)的定義域問(wèn)題：一函數(shù)的定義域問(wèn)題：1.三個(gè)基本問(wèn)題①分式的分母不等于0；②偶次開(kāi)方問(wèn)題，被開(kāi)方數(shù)大于等于0；③對(duì)數(shù)函數(shù)中，.xyalog?010???xaa且2.解題程序根據(jù)題意列不等式（組）——解不等式（組）——結(jié)論（寫(xiě)成集合或區(qū)間形式）.題組1.函數(shù)定義域的求解1.的定義域是____________________.xxxf????211)(2.的定義域是_______________

2、_.??32log)(22????xxxfx3.復(fù)合函數(shù)定義域問(wèn)題解題策略：①函數(shù)的定義域是指自變量的取值集合；x②所有括號(hào)中的取值范圍相同.題組2.復(fù)合函數(shù)定義域的求解1.已知函數(shù)的定義域是，其中則函數(shù))(xf??ba.0baba???的定義域是___________________.)()()(xfxfxg???2.已知的定義域是，則的定義域是________.)1(2?xf??33?)1(?xf4.定義域的逆向問(wèn)題3（2）；xxx

3、f312)(???（3）22????xxy2.探究性函數(shù)求值問(wèn)題，一般從函數(shù)本身或結(jié)論特征入手，注意分析待求結(jié)論式中的數(shù)據(jù)特征，尋找函數(shù)內(nèi)在聯(lián)系來(lái)求解.題組6.探究性函數(shù)求值1.設(shè)，則xxf??11)(._____101)10(31)3(21)2()1(????????????????????????????fffffff2.設(shè)，則1223)(???xxxf.________1110112111?????????????????????

4、????fff四函數(shù)圖像的作法及應(yīng)用四函數(shù)圖像的作法及應(yīng)用1.描點(diǎn)法是函數(shù)作圖的基本方法（列表—描點(diǎn)—連線）；2.變換作圖法①平移變換???????????.)()(:)()(bxfyxfyyaxfyxfyx而言針對(duì)—上加下減；而言：針對(duì)—左加右減②對(duì)稱變換???????????????????????????????????).()()()()()(xfyxfyxfyxfyxfyxfyyx關(guān)于原點(diǎn)對(duì)稱軸對(duì)稱關(guān)于軸對(duì)稱關(guān)于③絕對(duì)值變換?