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1、1目錄摘要........................................................1引言..........................................................21數(shù)形結(jié)合的思想..............................................31.1數(shù)形結(jié)合的思想發(fā)展.......................................31.2研究數(shù)形結(jié)合思想的意義及作用.............................32數(shù)形結(jié)合思想的模型.....
2、......................................32.1集合模型...................................................32.2函數(shù)模型.................................................32.3不等式問題...............................................32.4最值問題................................................32.5空間幾何..................
3、.................................33數(shù)形結(jié)合的解題運(yùn)用....................................................43.1集合模型...................................................43.2函數(shù)模型.................................................53.3不等式問題...............................................83.4最值問題................
4、................................103.5空間幾何...................................................124數(shù)形結(jié)合的解題的優(yōu)越性.............................................134.1簡潔性.................................................134.2奇異性..................................................134.3突破性..................
5、...............................145總結(jié).........................................................156成果聲名.......................................................167致謝................................................................178參考文獻(xiàn)......................................................18I數(shù)形結(jié)合
6、李云龍摘要：數(shù)形結(jié)合是通過數(shù)與形之間的對(duì)應(yīng)和轉(zhuǎn)化來解決數(shù)學(xué)問題,它包含以形助數(shù)和以數(shù)解形兩個(gè)方面.利用它可使復(fù)雜問題簡單化,抽象問題具體化,它兼有數(shù)的嚴(yán)謹(jǐn)與形的直觀之長,是優(yōu)化解題過程的重要途徑之一,是一種基本的數(shù)學(xué)方法；同時(shí)也是培養(yǎng)和發(fā)展學(xué)生的空間觀念和數(shù)感,進(jìn)行形象思維與抽象思維的交叉運(yùn)用,使多種思維互相促進(jìn),和諧發(fā)展的主要形式。數(shù)形結(jié)合通過“以形助數(shù)”、“以數(shù)賦形”使某些抽象的數(shù)學(xué)問題直觀化、生動(dòng)化，變抽象思維為形象思維。關(guān)鍵詞：數(shù)形結(jié)合思想數(shù)學(xué)方法意識(shí)培養(yǎng)Thenumbershape?combinationLiYunlongAbstract：Numberformcomb
7、inationisthroughthecorrespondencebetweenthenumberandshapeandtransformationtosolvemathematicalproblems,itcontainsinordertohelpthenumberandtheequationsformtwoaspects.Theuseofitcanmakethecomplexproblemssimple,abstractproblemspecific,itandhavethestrict
