有心曲线定点弦的一个独特现象（A unique phenomenon of fixed chord of fixed curve）.doc

下载文档 降价啦

6
0
约5.07千字
约 12页
2017-07-24 发布于河南
举报
版权申诉
保障服务

有心曲线定点弦的一个独特现象（A unique phenomenon of fixed chord of fixed curve）.doc

1、本文档共12页，可阅读全部内容。
2、有哪些信誉好的足球投注网站（book118）网站文档一经付费（服务费），不意味着购买了该文档的版权，仅供个人/单位学习、研究之用，不得用于商业用途，未经授权，严禁复制、发行、汇编、翻译或者网络传播等，侵权必究。
3、本站所有内容均由合作方或网友上传，本站不对文档的完整性、权威性及其观点立场正确性做任何保证或承诺！文档内容仅供研究参考，付费前请自行鉴别。如您付费，意味着您自己接受本站规则且自行承担风险，本站不退款、不进行额外附加服务；查看《如何避免下载的几个坑》。如果您已付费下载过本站文档，您可以点击这里二次下载。
4、如文档侵犯商业秘密、侵犯著作权、侵犯人身权等，请点击“版权申诉”（推荐），也可以打举报电话：400-050-0827(电话支持时间：9:00-18:30)。

有心曲线定点弦的一个独特现象（A unique phenomenon of fixed chord of fixed curve）

有心曲线定点弦的一个独特现象（A unique phenomenon of fixed chord of fixed curve） Collected by oneself Mistakes are unavoidable For reference only In case of error Please correct me! Thank you A unique phenomenon of fixed chord of fixed curve Nanjing Jinling Middle School Song Hui 210005 The author recently studied fixed-point (m) 0) several properties of the chord of a central curve Find a unique phenomenon Both with a fixed point 0) relating to Now share the results with your readers Theorem 1 let MN be the over fixed point A (m) Ellipse = + 1 (0) (ab0) Ama M = 0) of a moving string A1A2 is the major axis of an ellipse The moving line is M A1 and the intersection point of N and A2 is at the over designated point 0) and the line x perpendicular to the X axis = Proof: set M (ACOS alpha) Bsin alpha) N (ACOS beta) Bsin beta) A1 (alpha 0) A2 (a 0). Then the equations of M, A1 and N A2 are respectively: Y = (Xa) 1. Y = (Xa). By simplification, y = Tan (x + a) That is, Tan = It is simplified by: y = = cot (x - a) That is, Tan = - By M, N, A three collinear = Simplify: A, sin (alpha beta) = m (sin, alpha, sin, beta) A cos = m cos = = Get: Tan, Tan = The substitution is x = Therefore, the intersection of the moving line M, A1 and N A2 is over the point 0) and the line x perpendicular to the X axis = Theorem 2 let MN be the over fixed point A (m) Hyperbola of = = 1 (ab0) (0) A moving string of M, a, or m - A A1A2 is the long axis of the hyperbola The moving line is M A1 and the intersection point of N and A2 is at the over designated point 0) and the line x perpendicular to the X axis = Proof: set M (ASEC alpha) Btan alpha) N (ASEC beta) Btan beta) A1 (alpha 0) A2 (a 0). Then the equations of M, A1 and N A2 are respectively: Y = (Xa) 1. Y = (Xa). By simplification, y = (x + a) = Tan (x + a) That is, Tan = By simplification, y = = cot (x - a) Tan = IV By M, N, A three collinear = A (Tan sec sec Tan alpha beta beta alpha) = m (Tan Tan alpha beta) Simplify: smin (alpha beta) = a (sin, alpha,