陕西教育学院学报
陝西教育學院學報
협서교육학원학보
JOURNAL OF SHAANXI INSTITUTE OF EDUCATION
2011年
3期
80-84
,共5页
极点%极线%主轴%焦点%准线%无穷远点%迷向切线%无穷远直线
極點%極線%主軸%焦點%準線%無窮遠點%迷嚮切線%無窮遠直線
겁점%겁선%주축%초점%준선%무궁원점%미향절선%무궁원직선
pole%polar%spindle%focus%alignment%infinity%lost to tangent%infinite line
在探讨射影几何中定义的二次曲线的主轴、焦点和准线时,用射影几何的概念法可以分别得到抛物线、椭圆与双曲线的主轴、焦点和准线.由研讨得知在射影几何中定义的二次曲线的主轴、焦点和准线与解析几何中定义的二次曲线的主轴、焦点和准线是一致的.
在探討射影幾何中定義的二次麯線的主軸、焦點和準線時,用射影幾何的概唸法可以分彆得到拋物線、橢圓與雙麯線的主軸、焦點和準線.由研討得知在射影幾何中定義的二次麯線的主軸、焦點和準線與解析幾何中定義的二次麯線的主軸、焦點和準線是一緻的.
재탐토사영궤하중정의적이차곡선적주축、초점화준선시,용사영궤하적개념법가이분별득도포물선、타원여쌍곡선적주축、초점화준선.유연토득지재사영궤하중정의적이차곡선적주축、초점화준선여해석궤하중정의적이차곡선적주축、초점화준선시일치적.
This paper discusses the definition of second curves in the projective geometry of the spindle,the focus and directrix with the concept of projective geometry method.It is found that parabolic,spindle,focus and directrix of ellipse and Hyperbola can be obtained respectively.By the seminar was informed that define a conic in projective geometry analytic geometry and spindle,focus and directrix of second curves that are defined in the spindle,focus and the directrix is consistent.