ellipsning ekssentrisiteti, fokal radiuslari, direktrisalari

DOC 205.0 KB Free download

Page preview (5 pages)

Scroll down 👇

1629116101.doc ) 2 ( c ) 2 ( a a c a c = = 2 2 e 2 2 2 1 ÷ ø ö ç è æ - = - = a b a b a e a c e 2 1 d d e a x = e a x - = e a x = c a x 2 - = c a x 2 = e = 1 1 d r e = 2 2 d r 1 ) ( ) ( 2 2 0 2 2 0 = - + - b y y a x x 1 2 2 2 2 = + b y a x 1 2 1 2 1 = × + × b y y a x x 6 = a 5 , 0 = e 5 , 0 = = a c e 3 5 , 0 6 = …

ga intilsa bo’lib, ellips ikkilangan kesmaga aylanadi. katta va kichik o’qlari teng bo’lgan ellips aylanadir, ya’ni b=a limit holda a radiusli aylana hosil bo’ladi: yoki (3.3). bunda va ellips fokuslari go’yo bitta nuqtada – aylana markazida birlashib ketadi. aylana essentrisiteti nolga teng: . ellips va aylana orasidagi bog’lanishni boshqa nuqtai nazardan ham o’ranish mumkin. yarim o’qlari a va b bo’lgan ellipsni a radiusli aylananing proeksiyasi deb qarash mumkin ([4], 134 bet). t a’ r i f. ellipsning fokuslaridan ixtiyoriy m(x;y) nuqtasigacha bo’lgan masofalar, m(x;y) nuqtaning fokal–radiuslari deyiladi va r1=a+(x, r2=a+(x (3.4) formulalar bilan aniqlanadi (4–cizma). ellipsning ta’rifiga ko’ra: r1+r2=2a (3.5) demak, ellipsning har qanday nuqtasi fokal radiuslarining yig’indisi uning katta o’qiga teng. t a’ r i f. ellipsning direktrisalari deb ushbu va (3.6) tenglamalar bilan aniqlanadigan ikki to’g’ri chiziqqa aytiladi. ellipsning direktrisalari y o’iga parallel va ellips markazidan uzoqlikda turgan to’g’ri chiziqlardir. bo’lganligi uchun ; demak, direktrisalar ellipsdan tashqarida joylashadi. …

uqtasiga urinma bo’lgan to’g’ri chiziqning tenglamasi: (3.10). 9 – m i s o l. katta yarim o’qi va bo’lgan, ellipsning kanonik tenglamasini toping. y e c h i s h. . demak, fokuslar orasidagi masofaning yarmi . ellips kichik yarim o’qi . ellipsning kanonik tenglamasi: . 10 – m i s o l. ellipsning ekssentrisitetini toping: y e c h i s h. ellipsning tenglamasidan: ; . (2.4) formuladan: ni topamiz. ekssentrisitetni (3.2) formulaga ko’ra topamiz: . yoki (3.1) formulaga ko’ra: . 11 – m i s o l. m1 (4 ; -2) nuqta orqali o’tuvchi, kichik yarim o’qi b=4 bo’lgan ellipsning ekssentrisitetini toping. y e c h i s h. da ellipsning kanonik tenglamasi quyidagicha bo’ladi: . nuqtaning koordinatalari bu tenglamani qanoatlantiradi. demak, . bunda va ekssentrisitetini (3.2) formula yordamida topmiz: . 12 – m i s o l. ellipsning katta o’qi 12 ga teng, to’g’ri chiziqlar esa uning …

tematika”, “o’qituvhi”, t. 1994 4. v.e.shneyder va boshqalar. “oliy matematika qisqa kursi” 1–qism, “o’qituvchi”, t. 1985 5. fizika, matematika va informatika (ilmiy – uslubiy jurnal), №4 va №6, 2004 6. s.p.vinogradov. oliy matematika “o’qituvchi”, t. 196 7. www.ziyonet.uz 0 m (x , y) r2 r1 a2 f2 f1 b2 y x b1 a1 f � embed equation.3 �� d2 d1 � embed equation.3 �� n 0 m (x , y) 6 r2 y x f1 � embed equation.3 �� d2 d1 � embed equation.3 �� 7 8 9 10 -6 -7 -8 -9 -10 r1 f2 -5 -4 5 4 -5 -4 -3 -2 -1 5 4 3 2 1 -1 -3 -2 3 2 1 _1205665383.unknown _1205667580.unknown _1207129802.unknown _1207130340.unknown _1207130737.unknown _1210233196.unknown _1210233315.unknown _1207490362.unknown _1207491840.unknown _1207491853.unknown _1207490648.unknown _1207488735.unknown _1207490311.unknown _1207488357.unknown _1207130509.unknown _1207130568.unknown _1207130366.unknown _1207130026.unknown _1207130128.unknown _1207129959.unknown _1205669530.unknown _1205670102.unknown _1205670435.unknown _1207129637.unknown _1207129738.unknown _1207129581.unknown _1205670454.unknown _1205670262.unknown _1205670375.unknown _1205670174.unknown _1205669891.unknown _1205670032.unknown _1205669831.unknown _1205668287.unknown …

Want to read more?

Download the full file for free via Telegram.

Download full file

About "ellipsning ekssentrisiteti, fokal radiuslari, direktrisalari"

1629116101.doc ) 2 ( c ) 2 ( a a c a c = = 2 2 e 2 2 2 1 ÷ ø ö ç è æ - = - = a b a b a e a c e 2 1 d d e a x = e a x - = e a x = c a x 2 - = c a x 2 = e = 1 1 d r e = 2 2 d r 1 ) ( ) ( 2 2 0 2 2 0 = - + - b y y a x x 1 2 2 2 2 = + b y a x 1 2 1 2 1 = × …

DOC format, 205.0 KB. To download "ellipsning ekssentrisiteti, fokal radiuslari, direktrisalari", click the Telegram button on the left.

Tags: ellipsning ekssentrisiteti, fok… DOC Free download Telegram