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                深圳智學學習網 - 輕松學習拿文憑從此開始!深圳積分入戶考證快速加分!

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                2016年成人高考高起點《數學(理)》難點(3)

                時間:2015-12-29 22:07:41作者:深圳智學學習網

                    奇偶性與單調性()

                函數的單調性、奇偶性是高考的重點和熱點內容之一,特別是兩性質的應用更加突出。本節主要幫助考生學會怎樣利用兩性質解題,掌握基本方法,形成應用意識。

                8、難點磁場

                已知偶函數f(x)(0+)上為增函數,且f(2)=0,解不等式f[log2(x2+5x+4)]0.

                案例探究

                 [1]已知奇函數f(x)是定義在(-33)上的減函數,且滿足不等式f(x-3)+f(x2-3)<0,設不等式解集為AB=A{x|1x },求函數g(x)=-3x2+3x-4(xB)的最大值。

                難點九:指數函數、對數函數問題

                指數函數、對數函數是高考考查的重點內容之一,本節主要幫助考生掌握兩種函數的概念、圖象和性質并會用它們去解決某些簡單的實際問題。

                9、難點磁場

                f(x)=log2 F(x)= f(x)

                 (1)試判斷函數f(x)的單調性,并用函數單調性定義,給出證明;

                難點十:函數圖象與圖象變換

                函數的圖象與性質是高考考查的重點內容之一,它是研究和記憶函數性質的直觀工具,利用它的直觀性解題,可以起到化繁為簡、化難為易的作用。因此,考生要掌握繪制函數圖象的一般方法,掌握函數圖象變化的一般規律,能利用函數的圖象研究函數的性質。

                10、難點磁場

                已知函數f(x)=ax3+bx2+cx+d的圖象如圖,求b的范圍。

                難點十一:函數中的綜合問題

                函數綜合問題是歷年高考的熱點和重點內容之一,一般難度較大,考查內容和形式靈活多樣。本節課主要幫助考生在掌握有關函數知識的基礎上進一步深化綜合運用知識的能力,掌握基本解題技巧和方法,并培養考生的思維和創新能力。

                11、難點磁場

                設函數f(x)的定義域為R,對任意實數xy都有f(x+y)=f(x)+f(y),當x>0f(x)<0f(3)=-4.

                 (1)求證:f(x)為奇函數;

                 (2)在區間[-99]上,求f(x)的最值。

                 (2)f(x)的反函數為f-1(x),證明:對任意的自然數n(n3),都有f-1(n)>0 ;

                 (3)F(x)的反函數F-1(x),證明:方程F-1(x)=0有惟一解。

                 

                (責任編輯:馬老師 )

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