高中數(shù)學(xué)必修一筆記和習(xí)題以及答案

1、高中數(shù)學(xué)必修一筆記和習(xí)題1目錄目錄第一章集合與函數(shù)概念..............................................................................................................2課堂筆記..............................................................................

2、..............................................................2一、集合有關(guān)概念............................................................................................................2二、函數(shù)的有關(guān)概念...............................

3、.................................................................................3隨堂練習(xí)......................................................................................................................................

4、......7第二章基本初等函數(shù)（Ⅰ）......................................................................................................13課堂筆記.............................................................................................

5、.............................................13一、指數(shù)函數(shù)..........................................................................................................................13二、對(duì)數(shù)函數(shù).....................................

6、.....................................................................................14三、冪函數(shù)..............................................................................................................................15

7、隨堂練習(xí)..........................................................................................................................................17指數(shù)函數(shù)專題練習(xí)....................................................................

8、..............................................17對(duì)數(shù)函數(shù)專題練習(xí)..................................................................................................................22冪函數(shù)專題練習(xí).........................................

9、.............................................................................27指數(shù)函數(shù)、對(duì)數(shù)函數(shù)和冪函數(shù)專題練習(xí)..............................................................................30第三章函數(shù)的應(yīng)用....................................

10、..................................................................................36課堂筆記....................................................................................................................................

11、......36隨堂練習(xí)..........................................................................................................................................37參考答案................................................................

12、..........................................................................40高中數(shù)學(xué)必修一筆記和習(xí)題3④如果A?B同時(shí)B?A那么A=B3.不含任何元素的集合叫做空集，記為Φ規(guī)定:空集是任何集合的子集，空集是任何非空集合的真子集。?有n個(gè)元素的集合，含有個(gè)元素的集合，含有2n個(gè)子集，個(gè)子集，2n1個(gè)真子集個(gè)真子集三、集合的運(yùn)算運(yùn)算運(yùn)算類型類型交集并集補(bǔ)集定義由所有

13、屬于A且屬于B的元素所組成的集合叫做AB的交集記作A?B（讀作‘A交B’），即A?B=｛x|x?A，且x?B｝由所有屬于集合A或?qū)儆诩螧的元素所組成的集合，叫做AB的并集記作：A?B（讀作‘A并B’），即A?B=x|x?A，或x?B)設(shè)S是一個(gè)集合，A是S的一個(gè)子集，由S中所有不屬于A的元素組成的集合，叫做S中子集A的補(bǔ)集（或余集）記作ACS，即CSA=|AxSxx??且韋恩圖示AB圖1AB圖2性質(zhì)A?A=AA?Φ=ΦA(chǔ)?B=B?AA

14、?B?AA?B?BA?A=AA?Φ=AA?B=B?AA?B?ＡA?B?B(CuA)?(CuB)=Cu(A?B)(CuA)?(CuB)=Cu(A?B)A?(CuA)=UA?(CuA)=Φ二、函數(shù)的有關(guān)概念二、函數(shù)的有關(guān)概念函數(shù)的概念：設(shè)A、B是非空的數(shù)集，如果按照某個(gè)確定的對(duì)應(yīng)關(guān)系f，使對(duì)于集合A中的任意一個(gè)數(shù)x，在集合B中都有唯一確定的數(shù)f(x)和它對(duì)應(yīng)，那么就稱f：A→B為從集合A到集合B的一個(gè)函數(shù)記作：y=f(x)，x∈A其中，x叫