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初中數學|快速提高成績的7個方法!

2018-09-28 小霸總

??初中數學其他學科的基礎,尤其是物理、化學等學科;因此,學好初中數學是以后學習的鋪墊。但在學習數學的過程中,不少同學都感覺數學太難了,不知道怎么跨過去?其實,只要你掌握好初中數學思想,數學不難學。


初中數學|快速提高成績的7個方法!


??1、整體思想

??從問題的整體出發,突出對問題的整體結構的分析和改造,發現問題的整體結構特征,善于用“集成”的眼光,把某些式子或圖形看成一個整體,把握它們之間的關聯,進行有目的、有意識的整體處理。整體思想方法在代數式的化簡與求值、解方程(組)、幾何解證、在因式分解等方面都有廣泛的應用。


??2、數形結合思想

??著名數學家華羅庚曾說:“數缺形時少直觀,形少數時難入微;數形結合百般好,隔離分家萬事休”.數學中,數和形是兩個最主要的研究對象,它們之間有著十分密切的聯系,在一定條件下,數和形之間可以相互轉化,相互滲透.在初中數學教材中尤其是數形結合思想貫穿整個教材的始終,諸如:在學習二次函數,一次函數,反比例函數,等函數中都運用到了數與形狀的結合。


??可以說代數和幾何相結合的思想方法是解決初中數學問題乃至高中、大學、等等數學問題的一個通法。縱觀這些年的中考選擇題的壓軸題通常都會選擇二次函數當做選擇的壓軸題。所以要深刻領會這一思想在解決數學問題的關鍵要義。


??3、轉化思想

??轉化思想通常可以由一類數學已知條件中可以獲取出新的思路或者新的條件,轉化的思想啟迪我們在解決數學問題上,要用多角度,多方位的目光來看問題。


??4、由特殊到一般的思想

??這一思想在初中數學中可以說是至關重要,比如在解決幾何證明問題時,我們雖然不可直接得到解題的思路但是我們可以由特殊的位置、特殊點、特殊線段、等特殊的地方出發,深入思考,最終也可達到解決問題的途徑。


??5、方程思想

??數形結合思想和方程思想是數學上偉大的兩個思想。“求值列方程,求范圍列不等式”,在解決數學問題上比如列方程來求值,就拿初中數學應用題來說,列方程的思想是解決這一類問題的重要思想。


??6、類比思想

??把兩個(或兩類)不同的數學對象進行比較,如果發現它們在某些方面有相同或類似之處,那么就推斷它們在其他方面也可能有相同或類似之處。


??7、分析法和綜合法

??有時候我們常常會遇到很多問題無從下手,此時我們應該可以利用此種方法。從要證明的結論出發,或者從已知條件出發,進行提煉,可能會有意想不到的結果。

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