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摘  要
　　　數(shù)形結(jié)合是數(shù)學(xué)研究和學(xué)習(xí)中的重要思想和解題方法，用數(shù)形結(jié)合方法可以使復(fù)雜問題簡單化、抽象問題具體化；能夠變抽象的數(shù)學(xué)語言為直觀的圖形、抽象思維為形象思維，有助于把握數(shù)學(xué)問題的本質(zhì)。所謂數(shù)形結(jié)合就是根據(jù)數(shù)學(xué)問題的條件和結(jié)論之間的內(nèi)在聯(lián)系分析其代數(shù)含義，又揭示其幾何直觀，使數(shù)量關(guān)系與空間形式和諧結(jié)合在一起的方法。通過“以形助數(shù)”和“以數(shù)輔形”這兩大題型的具體分析，揭示出“數(shù)”與“形”之間的緊密關(guān)系，從而把問題優(yōu)化，獲得解決。
關(guān)鍵詞
數(shù)形結(jié)合; 線性規(guī)劃; 數(shù)量關(guān)系
　　　
　　　Abstract
　　　Combining the operation with figure is the study of mathematics and learning the important thinking and problem solving methods, which can simplify complicated problems, specify the abstract ones, and turn the abstract shapes and thought to be visual , and is accordingly helpful to grasp the essence of mathematics . The so called combination is an approach , which not only analyze meaning of algebra ,but also disclose the significance of geometry according to the inside relationship of conditions and conclusions , and harmoniously combines the form of number and space as one . This article will set forth the tight contact between algebra and geometry throughout the analysis of two typical styles “Geometry helps understand algebra” and “Algebra helps understand geometry” ,in order to solve relevant problems well.　
Keywords
The combination of algebra and geometry; The linear programming;Quantitative relationship

　　　
　　　目    錄
1. 引言 1
2. 以形助數(shù),代數(shù)問題幾何化 2
　　　2.1 以形助數(shù)解決集合問題 2
　　　2.2 以形助數(shù)解決取值范圍問題  3
　　　2.3 以形助數(shù)解決解含參數(shù)問題 4
　　　2.4 以形助數(shù)解決不等式問題 6
　　　2.5 以形助數(shù)求函數(shù)極值 6
　　　2.6 以形助數(shù)在解析幾何中的應(yīng)用 7
　　　2.7 借助于復(fù)平面上的點(diǎn)解決復(fù)數(shù)問題 8
以數(shù)輔形,幾何問題代數(shù)化 8
　　　3.1 用代數(shù)方法解決平面幾何問題 8
　　　3.2 用代數(shù)方法解決立體幾何的問題 9
參考文獻(xiàn) 11
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