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巧用導(dǎo)數(shù)法解答兩類問(wèn)題

2021-02-23 17:11寧麗紅曾志超
關(guān)鍵詞:零點(diǎn)最值導(dǎo)數(shù)

寧麗紅 曾志超

導(dǎo)數(shù)法是解答高中數(shù)學(xué)問(wèn)題的重要工具.對(duì)于較為復(fù)雜的不等式、函數(shù)、方程、解析幾何等問(wèn)題,巧妙運(yùn)用導(dǎo)數(shù)法可使問(wèn)題快速獲解.運(yùn)用導(dǎo)數(shù)法解題,需先根據(jù)題意構(gòu)造出函數(shù)模型,將問(wèn)題轉(zhuǎn)化為函數(shù)最值問(wèn)題,通過(guò)研究導(dǎo)函數(shù)的性質(zhì),求得問(wèn)題的答案.下面來(lái)談一談如何巧妙運(yùn)用導(dǎo)數(shù)法,解答含參不等式恒成立問(wèn)題以及含參函數(shù)零點(diǎn)問(wèn)題.

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