第五單元 對(duì)數(shù)與對(duì)數(shù)函數(shù)
來源:網(wǎng)絡(luò)資源 2009-08-16 15:25:18
[重點(diǎn)難點(diǎn)]
1.理解對(duì)數(shù)的概念,能夠進(jìn)行對(duì)數(shù)式與指數(shù)式的互化;掌握對(duì)數(shù)的運(yùn)算性質(zhì),能夠熟練應(yīng)用對(duì)數(shù)運(yùn)算性質(zhì)進(jìn)行計(jì)算或證明;了解常用對(duì)數(shù)和自然對(duì)數(shù)的概念。
2.掌握對(duì)數(shù)函數(shù)的概念,并能求出對(duì)數(shù)函數(shù)的定義域和值域。
3.能根據(jù)互為反函數(shù)的兩個(gè)函數(shù)圖像間的關(guān)系,利用指數(shù)函數(shù)的圖像,描繪出相應(yīng)的對(duì)數(shù)函數(shù)的圖像。
4.能根據(jù)對(duì)數(shù)函數(shù)的圖像歸納出對(duì)數(shù)函數(shù)在底數(shù)a>1和0<a<1兩種情況下所具有的一些重要性質(zhì);并能利用對(duì)數(shù)函數(shù)的性質(zhì),求某些函數(shù)的定義域和比較某些函數(shù)值的大小。
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