【摘要】指數(shù)函數(shù)與對(duì)數(shù)函數(shù)知識(shí)點(diǎn)總結(jié)(一)指數(shù)與指數(shù)冪的運(yùn)算1.根式的概念:一般地,如果,那么叫做的次方根,其中1,且∈*.當(dāng)是奇數(shù)時(shí),,當(dāng)是偶數(shù)時(shí),2.分?jǐn)?shù)指數(shù)冪正數(shù)的分?jǐn)?shù)指數(shù)冪的意義,規(guī)定:3.實(shí)數(shù)指數(shù)冪的運(yùn)算性質(zhì)(1)·;(2);(3) .(二)指數(shù)函數(shù)及其性質(zhì)1、指數(shù)函數(shù)的概念:一般地,函數(shù)叫做指數(shù)函數(shù),其
2024-08-05 01:26
【摘要】指數(shù)函數(shù)和對(duì)數(shù)函數(shù)·對(duì)數(shù)函數(shù)·例題[]解A
2025-01-14 08:38
【摘要】高一數(shù)學(xué)函數(shù)的單調(diào)性、奇偶性經(jīng)典例題透析類型一、指數(shù)式與對(duì)數(shù)式互化及其應(yīng)用 1.將下列指數(shù)式與對(duì)數(shù)式互化: (1);(2);(3);(4);(5);(6). 思路點(diǎn)撥:運(yùn)用對(duì)數(shù)的定義進(jìn)行互化. 解:(1);(2);
2025-05-12 00:39
【摘要】對(duì)數(shù)函數(shù)及其性質(zhì)相關(guān)知識(shí)點(diǎn)總結(jié):一般地,如果ax=N(a>0,且a≠1),那么數(shù)x叫做以a為底N的對(duì)數(shù),記作x=logaN.a(chǎn)叫做對(duì)數(shù)的底數(shù),N叫做真數(shù).2.對(duì)數(shù)與指數(shù)間的關(guān)系(1)負(fù)數(shù)和零沒(méi)有對(duì)數(shù).(2)loga1=0(a>0,a≠1).(3)logaa=1(a>0,a≠1).(1)loga(M·N)=logaM+logaN.
2024-08-04 14:49
【摘要】1反比例函數(shù)知識(shí)點(diǎn)及考點(diǎn):(一)反比例函數(shù)的概念:知識(shí)要點(diǎn):1、一般地,形如y=(k是常數(shù),k=0)的函數(shù)叫做反比例函數(shù)。x注意:(1)常數(shù)k稱為比例系數(shù),k是非零常數(shù);(2)解析式有三種常見(jiàn)的表達(dá)形式:(A)y=(k≠0),(B)xy=k(k≠0)(C)y=kx-1(k≠0)x例題講解:有關(guān)反比例
2024-08-06 01:06
【摘要】《對(duì)數(shù)及對(duì)數(shù)函數(shù)》練習(xí)題講解知識(shí)梳理:1、對(duì)數(shù)的定義:如果a(a0,a≠1)的b次冪等于N,就是ab=N,那么數(shù)b叫做a為底N的對(duì)數(shù),記作logaN=b,a叫做對(duì)數(shù)的底數(shù),N叫做真數(shù)。(N0)2、指數(shù)和對(duì)數(shù)的關(guān)系:3、對(duì)數(shù)恒等式:∴,,4、運(yùn)算法則:5、換底公式:6、兩個(gè)較為常用的推論:1°
【摘要】完美WORD格式1.對(duì)數(shù)的概念如果ax=N(a0,且a≠1),那么數(shù)x叫做__________________,記作____________,其中a叫做__________,N叫做______.2.常用對(duì)數(shù)與自然對(duì)數(shù)通常將以10為底的對(duì)數(shù)叫做
【摘要】三角函數(shù)知識(shí)點(diǎn):30°45°60°0°90°180°270°15°75°010-110-10100
2024-08-04 20:23
【摘要】6指數(shù)函數(shù)、對(duì)數(shù)函數(shù)及冪函數(shù)知識(shí)總結(jié)1、知識(shí)框圖 2、知識(shí)要點(diǎn)梳理l指數(shù)函數(shù)函數(shù)名稱指數(shù)函數(shù)定義函數(shù)且叫做指數(shù)函數(shù)圖象 定義域值域過(guò)定點(diǎn)圖象過(guò)定點(diǎn),即當(dāng)時(shí),.奇偶性非奇非偶單調(diào)性在上是增函數(shù)在上是減函數(shù)函數(shù)值的變化情況變化對(duì)圖象的影響在第一象限內(nèi),從
2024-08-05 01:20
【摘要】對(duì)數(shù)函數(shù)的圖像與性質(zhì)知識(shí)點(diǎn)與習(xí)題一、知識(shí)回顧:1、指數(shù)函數(shù)與對(duì)數(shù)函數(shù)的圖象與性質(zhì)2、指數(shù)函數(shù)與對(duì)數(shù)函數(shù)互為反函數(shù),其圖象關(guān)于直線對(duì)稱二、例題與習(xí)題__;2.已知函數(shù)3.,則,則,則的取值范圍是()(A)(B
【摘要】對(duì)數(shù)與對(duì)數(shù)運(yùn)算知識(shí)點(diǎn)及例題解析1、對(duì)數(shù)的定義①若,則叫做以為底的對(duì)數(shù),記作,其中叫做底數(shù),叫做真數(shù).②負(fù)數(shù)和零沒(méi)有對(duì)數(shù).③對(duì)數(shù)式與指數(shù)式的互化:.2、以10為底的對(duì)數(shù)叫做常用對(duì)數(shù),log10N記作lgN.3、以無(wú)理數(shù)e=28…為底的對(duì)數(shù)稱為自然對(duì)數(shù),logeN記作lnN4、對(duì)數(shù)的性質(zhì):(1)(2)對(duì)數(shù)恒等式①alogaN=N;②logaaN
2024-08-04 15:04
【摘要】(4)《實(shí)數(shù)》知識(shí)點(diǎn)總結(jié)及典型例題練習(xí)題第一節(jié)、平方根1.平方根與算數(shù)平方根的含義平方根:如果一個(gè)數(shù)的平方等于,那么數(shù)x就叫做的平方根。即,記作x=算數(shù)平方根:如果一個(gè)正數(shù)x的平方等于a,那么正數(shù)x叫做a的算術(shù)平方根,即x2=a,記作x=?!、疟硎荆赫龜?shù)的平方根用表示,叫做正平方根,也稱為算術(shù)平方根,叫做的負(fù)平方根。⑵一個(gè)正數(shù)有兩個(gè)平方根:(根指數(shù)2省略)
2024-07-30 21:52
【摘要】佛山學(xué)習(xí)前線教育培訓(xùn)中心高一數(shù)學(xué)對(duì)數(shù)與對(duì)數(shù)函數(shù)一、知識(shí)要點(diǎn)1、對(duì)數(shù)的概念(1)、對(duì)數(shù)的概念:一般地,如果的b次冪等于N,就是,那么數(shù)b叫做以a為底N的對(duì)數(shù),記作,a叫做對(duì)數(shù)的底數(shù),N叫做真數(shù)(2)、對(duì)數(shù)的運(yùn)算性質(zhì):如果a0,a11,M0,N0有:(3)、重要的
2025-06-04 12:35
【摘要】(一)指數(shù)與指數(shù)函數(shù)1.根式(1)根式的概念n為奇數(shù)n為偶數(shù)(2).兩個(gè)重要公式①;②(注意必須使有意義)。2.有理數(shù)指數(shù)冪(1)冪的有關(guān)概念①正數(shù)的正分?jǐn)?shù)指數(shù)冪:;②正數(shù)的負(fù)分?jǐn)?shù)指數(shù)冪:③0的正分?jǐn)?shù)指數(shù)冪等于0,0的負(fù)分?jǐn)?shù)指數(shù)冪沒(méi)有意義.注:分?jǐn)?shù)指數(shù)冪與根式可以互化,通常利用分?jǐn)?shù)指數(shù)冪進(jìn)行根式的運(yùn)算。
2024-08-05 01:24
【摘要】對(duì)數(shù)與對(duì)數(shù)函數(shù)(一)對(duì)數(shù)1.對(duì)數(shù)的概念:一般地,如果,那么數(shù)叫做以為底的對(duì)數(shù),記作:(—底數(shù),—真數(shù),—對(duì)數(shù)式)說(shuō)明:注意底數(shù)的限制,且;;注意對(duì)數(shù)的書寫格式.兩個(gè)重要對(duì)數(shù):常用對(duì)數(shù):以10為底的對(duì)數(shù);自然對(duì)數(shù):以無(wú)理數(shù)為底的對(duì)數(shù)的對(duì)數(shù).u指數(shù)式與對(duì)數(shù)式的互化冪值真數(shù)=N=b
2025-05-22 05:09