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                2016年成人高考高起點《數學(理)》難點(2)

                時間:2015-12-29 22:06:37作者:深圳智學學習網

                難點四:三個“二次”及關系

                三個“二次”即一元二次函數、一元二次方程、一元二次不等式是中學數學的重要內容,具有豐富的內涵和密切的聯系,同時也是研究包含二次曲線在內的許多內容的工具。高考試題中近一半的試題與這三個“二次”問題有關。本節主要是幫助考生理解三者之間的區別及聯系,掌握函數、方程及不等式的思想和方法。

                4、難點磁場

                已知對于x的所有實數值,二次函數f(x)=x2-4ax+2a+12(aR)的值都是非負的,求關于x的方程 =|a-1|+2的根的取值范圍。

                難點五:求解函數解析式

                求解函數解析式是高考重點考查內容之一,需引起重視。本節主要幫助考生在深刻理解函數定義的基礎上,掌握求函數解析式的幾種方法,并形成能力,并培養考生的創新能力和解決實際問題的能力。

                5、難點磁場

                已知f(2-cosx)=cos2x+cosx,求f(x-1)

                案例探究

                 [1](1)已知函數f(x)滿足f(logax)= (其中a>0a1x>0),求f(x)的表達式。

                 (2)已知二次函數f(x)=ax2+bx+c滿足|f(1)|=|f(-1)|=|f(0)|=1,求?f(x)的表達式。

                難點六:函數值域及求法

                函數的值域及其求法是近幾年高考考查的重點內容之一。本節主要幫助考生靈活掌握求值域的各種方法,并會用函數的值域解決實際應用問題。

                6、難點磁場

                m是實數,記M={m|m>1}f(x)=log3(x2-4mx+4m2+m)

                 (1)證明:當mM時,f(x)對所有實數都有意義;反之,若f(x)對所有實數x都有意義,則mM.

                 (2)mM時,求函數f(x)的最小值。

                 (3)求證:對每個mM,函數f(x)的最小值都不小于1.

                難點七:奇偶性與單調性()

                函數的單調性、奇偶性是高考的重點內容之一,考查內容靈活多樣。本節主要幫助考生深刻理解奇偶性、單調性的定義,掌握判定方法,正確認識單調函數與奇偶函數的圖象。

                7、難點磁場

                a>0f(x)= R上的偶函數,(1)a的值;(2)證明: f(x)(0+)上是增函數。

                (責任編輯:馬老師 )

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