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1 семестр / Линейная Алгебра / 23_Кучеренко Антон_Индивидуальное_задание 3

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>> figure

>> line([-10 10], [0 0],'color','k')

>> line([0 0], [-10 10],'color','k')

>> hold on

>> ezplot('((x+1)^2)/25+((y-3)^2)/16=1')

>> ezplot('(x+1)^2/25+(y-3)^2/16=1')

>> hold on

>> grid on

>> ezplot('(x+1)^2/25+(y-3)^2/16=1')

>> line([0 0], [-6 6],'color','k')

>> line([-6 6], [0 0],'color','k')

>> ezplot('(x+1)^2/25+(y-3)^2/16=1',[-10 10 -10 10])

>> line([0 0], [-6 6],'color','k')

>> line([0 0], [-10 10],'color','k')

>> line([-10 10], [0 0],'color','k')

>> hold on

>> grid on

>> line([-10 10], [3 3],'color','k')

>> line([-1 -1], [-10 10],'color','k')

>> plot(-1,3,'b*','linewidth',4)

>> text(1,1,'C')

>> plot(0,0,'b*','linewidth',4)

>> text(1,1,'O')

>> plot(-4,3,'b*','linewidth',4)

>> plot(4,3,'b*','linewidth',4)

>> plot(2,3,'b*','linewidth',4)

>> format rational

>> text(1,1,'F1')

>> text(1,1,'F2')

>> line([-50/6 -50/6],[-2 8],'color','r','linewidth',3)

>> line([50/6 50/6],[-2 8],'color','r','linewidth',3)

>> line([50/6-1 50/6-1],[-2+3 8+3],'color','r','linewidth',3)

>> line([50/6-1 50/6-1],[-2 8],'color','r','linewidth',3)

>> line([-50/6-1 -50/6-1],[-2 8],'color','r','linewidth',3)

>> figure

>> ezplot('25*x^2+16*y^2-150*x+32*y-159=0')

>> ezplot('25*x^2+16*y^2-150*x+32*y-159=0',[-10 10 -10 10])

>> hold on

>> line([0 0], [-10 10],'color','k')

>> line([-10 10], [0 0],'color','k')

>> text(1,1,'O')

>> plot(0,0,'b*','linewidth',4)

>> plot(3,-1,'b*','linewidth',4)

>> text(1,1,'C')

>> line([-10 10], [-1 -1],'color','k')

>> line([3 3], [-10 10],'color','k')

>> plot(6,-1,'b*','linewidth',4)

>> plot(0,-1,'b*','linewidth',4)

>> text(1,1,'F1')

>> text(1,1,'F2')

>> hold on

>> grid on

>> line([-15/3 -15/3], [-8 6],'color','r','linewidth',3)

>> line([-15/3+3 -15/3+3], [-8 6],'color','r','linewidth',3)

>> line([15/3+3 15/3+3], [-8 6],'color','r','linewidth',3)

>> ezplot('9*x^2-25*y^2+36*x-150*y-414=0',[-30 25 -20 20])

>> hold on

>> grid on

>> line([0 0],[-20 20],'color','black')

>> line([-30 25],[0 0],'color','black')

>> plot(-2,-3,'blueo','linewidth',3)

>> line([-2 -2],[-20 20],'color','black')

>> line([-30 25],[-3 -3],'color','black')

>> plot(0,0,'b*','linewidth',4)

>> format rational

>> plot(sqrt(34),0,'b*','linewidth',4)

>> plot(sqrt(34)-2,-3,'b*','linewidth',4)

>> plot(-sqrt(34)-2,-3,'b*','linewidth',4)

>> text(1,1,'F1')

>> text(1,1,'F2')

>> text(1,1,'O')

>> text(1,1,'C')

>> line([-25/sqrt(34)-2 -25/sqrt(34)-2],[-20 20],'color','red','linewidth',4)

>> line([25/sqrt(34)-2 25/sqrt(34)-2],[-20 20],'color','red','linewidth',4)

>> ezplot('25*x^2-9*y^2-150*x+36*y+414=0',[-30 30 -30 30])

>> hold on

>> grid on

>> line([0 0],[-30 30],'color','black')

>> line([-30 30],[0 0],'color','black')

>> plot(0,0,'b*','linewidth',4)

>> text(1,1,'O')

>> line([-30 30],[2 2],'color','black')

>> line([3 3],[-30 30],'color','black')

>> plot(3,2,'b*','linewidth',4)

>> text(1,1,'C')

>> line([(-9/sqrt(34))+3 (-9/sqrt(34))+3],[-30 30],'color','red','linewidth',4)

>> line([(9/sqrt(34))+3 (9/sqrt(34))+3],[-30 30],'color','red','linewidth',4)

>> plot(-sqrt(34)+3,2,'b*','linewidth',4)

>> plot(sqrt(34)+3,2,'b*','linewidth',4)

>> text(1,1,'F1')

>> text(1,1,'F2')

>>

>> ezplot('y^2-4*y-16*x+20=0',[-30 30 -30 30])

>> hold on

>> grid on

>> line([0 0],[-30 30],'color','black')

>> line([-30 30],[0 0],'color','black')

>> plot(0,0,'b*','linewidth',4)

>> text(1,1,'O')

>> line([1 1],[-30 30],'color','black')

>> line([-30 30],[2 2],'color','black')

>> plot(1,2,'b*','linewidth',4)

>> text(1,1,'C')

>> line([-1 -1],[-30 30],'color','red','linewidth',4)

>> line([0 0],[-30 30],'color','red','linewidth',4)

>> plot(2,2,'b*','linewidth',4)

>> text(1,1,'F')

>> ezplot('x^2-2*x-16*y-31',[-15 15 -15 15])

>> hold on

>> grid on

>> line([-15 15],[0 0],'color','black')

>> line([0 0],[-15 15],'color','black')

>> plot(0,0,'b*','linewidth',4)

>> text(1,1,'O')

>> plot(1,-2,'b*','linewidth',4)

>> line([-15 15],[1 1],'color','black')

>> line([-15 15],[-2 -2],'color','black')

>> line([1 1],[-15 15],'color','black')

>> text(1,1,'C')

>> plot(1,-1,'b*','linewidth',4)

>> text(1,1,'F')

>> line([-15 15],[-3 -3],'color','red','linewidth',4)