【文章內(nèi)容簡介】 d to Europe, the spread of European science and culture has played a positive role. 1482 is the Latin geometry, published in Venice, then to the countries of European languages was not under version 500. As the world39。s scientific works, its spread time long, wide and profound influence at all times and in all countries, second to none. 1570 is translated into English. Ming Wanli 35 years (1607) Xu and Ricci translated originally the first six volumes in Beijing, Qing Xianfeng five years (1855) Li Shanlan and Wei strong Alexander continued translation after nine volumes. In 1739 translation of the original Russian, more than2000 years, European originally all mathematicians should read the textbook, it is only one of the ancient classics of mathematics. This is history for it to make the best evaluation.Early in Greece to geometric added new content, in addition to the Apollo mourinho, conic, determine a new method of area, volume and Archimedes, preliminary and west barr card trigonometry MeiNaiLao spherical geometry.The third period because the bud of capitalism to promote European Renaissance caused by geometry of prosperity. The key step is to first half of the 17th century, by Descartes and fermat introduction coordinates method to solve geometric problems. This is epochmaking innovations, the geometric method of innovation with was the development of analytic geometry and budding period study, promote each other, the analytic geometry and differential geometry. After hundreds of years, algebra and analytic method to rule the geometry, almost exclusive synthesis (pure geometric method). But will write scholars based on geometry, calculus and new results are obtained. Elegant and intuitive clear geometric method always attract people. So in 17 to 18 century, pure geometry, though not in a vibrant development center, also maintained its surprising vitality. In the early 19th century, some mathematicians think the past prehensive geometric are unfair, unwise to neglect and positive efforts to revive and extend it.The fourth stage is from LObachevsky established the first start of the non Euclidean geometry. 1862 1829 to read his paper, developing the plete printed form. For thousands of years, people think that the objective space by Euclidean geometry only describe: other than through the linear plane in and decided to have and only a straight line with disjoint, the sum of the interior angles of a triangle and equal to two right angle. Now Roche establish the geometry and this is entirely different, through in the plane have innumerable lines with disjoint, the sum of the interior angles of a triangle and less than two right angles. It is no wonder that Russia was the largest of two mathematicians say it is absurd. This geometry of Germany39。s Gauss and Hungary39。s Porner has also been established independently, the development of the most perfect is LObachevsky. When it is recognized that this geometry, the three men have entered the tomb, another non Euclidean geometry later by German Riemannian establishment, after point in the plane no any line with disjoint, the angles of a triangle and greater than two right angle.The found of cutting, equal to found the new world, people call it Copernicus in the geometry. This is a huge progress on mathematical thinking, expand the knowledge of space. Geometry into the various space (European space, roche space, Li Shi space, space radiation, projective space, etc.) as well as the individual space overall graphics mathematical theory.本科生畢業(yè)論文（設(shè)計）冊 仿射變換在簡單圖形中的應(yīng)用 學(xué)　　院：數(shù)學(xué)與信息科學(xué)學(xué)院專　　業(yè)：數(shù)學(xué)與應(yīng)用數(shù)學(xué)班　　級：2012級B班學(xué)　　生：孫翔然指導(dǎo)教師：馬凱二〇一六年五月十日19目錄中文摘要、關(guān)鍵詞………………………………………………………………………………………11背景知識………………………………………………………………………………………………1………………………………………………………………………1………………………………………………………………12 仿射變換的基本概念…………………………………………………………………………………2……………………………………………………………………………2………………………………………………………………………2…………………………………………………………………………………………3……………………………………………………………………………………………3……………………………………………………………………………………………3……………………………………………………………………3…………………………………………………………………………43 仿射變換在解題中的應(yīng)用……………………………………………………………………………5 ………………………………………………………………………………………………5 ………………………………………………………………………………………6 ……………………………………………………………………………………………6 ………………………………………………………………………………………………8 ………………………………………………………………………………………8 ……………………………………………………………………………………114運用仿射坐標(biāo)解題…………………………………………………………………………………1