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向量在解題中的應(yīng)用
向量在解題中的應(yīng)用
摘要:本文首先回顧了向量的1些基本性質(zhì),接著分別從各個(gè)方面(空間幾何,平面解析幾何,不等式,最值問(wèn)題,以及其他1些數(shù)學(xué)問(wèn)題)總結(jié)歸納向量在解決1系列數(shù)學(xué)問(wèn)題中的應(yīng)用,并舉例說(shuō)明,使用向量更加快捷直觀的解決1些不同的數(shù)學(xué)問(wèn)題.
關(guān)鍵字:向量,向量應(yīng)用,向量與解題,解題方法
The vector’s application in the solution of question
Abstract: This paper looked back some basic properties of vector at first, and then summarizy and induce vector’application in a series of mathematics problems in every aspect(Space geometry, Flat surface analytic geometry, Maximum&Minimum, Inequality and something other mathematics problems), and illustrate them with examples,it will be faster to work out some different mathematics problems by use vector.
Keywords: Vector, Vector’s application, Vector and Solution, Solution methods
目錄
1.論文題目及摘要.................................................1
2.引言...........................................................2
3.向量基本性質(zhì)回顧................................................3
4.向量在空間幾何中的應(yīng)用..........................................3
4.1 運(yùn)算向量的坐標(biāo)解決立體幾何中的角和距離問(wèn)題.....................3
4.2 利用向量解決有關(guān)平行與垂直的問(wèn)題..............................4
4.3 利用向量解決有關(guān)角的問(wèn)題......................................5
4.4 利用向量解決有關(guān)距離的問(wèn)題....................................5
4.5 運(yùn)用向量的坐標(biāo)解綜合題........................................6
5.向量在平面解析幾何中的應(yīng)用.......................................8
6.構(gòu)造向量證明不等式..............................................10
7.向量在求最值問(wèn)題中的應(yīng)用.........................................14
8.向量在解其他代數(shù)題中的應(yīng)用.......................................15
8.1 在代數(shù)求值中的應(yīng)用...........................................15
8.2 在證明代數(shù)恒等式中的應(yīng)用.....................................16
8.3 在解方程中的應(yīng)用.............................................16
8.4 用向量求取值范圍 ............................................17
8.5 向量在數(shù)列中的應(yīng)用 ...........................................17
9.結(jié)束語(yǔ)...........................................................18
10.參考文獻(xiàn)....................................................... 19
11. 致謝.......................................................... 20
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