To'g'ri chiziq tenglamasi. Geometrik masalalar yechishning koordinatalar usuli — 8-sinf Geometriya test savollari

1.A(1; 7) va B(-3; -1) nuqtalardan o'tuvchi to'g'ri chiziq tenglamasini toping.

• A)y = 2x + 5
• B)y = 2x - 5
• C)y = -2x + 5
• D)y = 0,5x + 6,5

2.A(2; 5) va B(5; 2) nuqtalardan o'tuvchi to'g'ri chiziq tenglamasini toping.

• A)x + y - 7 = 0
• B)x - y - 7 = 0
• C)x + y + 7 = 0
• D)x + y - 3 = 0

3.A(0; 1) va B(-4; -5) nuqtalardan o'tuvchi to'g'ri chiziq tenglamasini toping.

• A)3x - 2y + 2 = 0
• B)3x - 2y - 2 = 0
• C)3x + 2y + 2 = 0
• D)2x - 3y + 2 = 0

4.A(3; -1), B(5; 5) nuqtalar berilgan. C(4; 2) nuqta AB kesmaning o'rtasi bo'ladimi?

• A)Ha, C — AB kesmaning o'rtasi
• B)Yo'q, chunki abssissalar mos kelmaydi
• C)Yo'q, chunki ordinatalar mos kelmaydi
• D)Aniqlab bo'lmaydi

5.A(3; 6) va B(-5; -2) nuqtalar berilgan. AB kesmaning o'rtasi koordinatalarini toping.

• A)(-1; 2)
• B)(4; 2)
• C)(-1; -2)
• D)(1; 2)

6.x - 3y + 3 = 0 tenglama bilan berilgan to'g'ri chiziqqa A(3; -1), B(-3; 0), C(12; 5), D(3; 0), E(-9; -2) nuqtalarning nechtasi tegishli?

• A)3 ta
• B)2 ta
• C)4 ta
• D)5 ta

7.8x - 4y - 8 = 0 tenglama bilan berilgan to'g'ri chiziqqa A(0; -2), B(4; 2), C(-4; -5) nuqtalardan qaysi biri tegishli?

• A)faqat A
• B)faqat B
• C)faqat C
• D)A va B

8.x + y + c = 0 to'g'ri chiziq (1; 2) nuqtadan o'tsa, c koeffitsiyentni toping.

• A)-3
• B)3
• C)-1
• D)1

9.ax + by - 1 = 0 to'g'ri chiziq (1; 2) va (2; 1) nuqtalardan o'tadi. a va b koeffitsiyentlarni toping.

• A)$a=\frac{1}{3},b=\frac{1}{3}$
• B)a = 1, b = 1
• C)$a=-\frac{1}{3},b=-\frac{1}{3}$
• D)$a=\frac{1}{3},b=-\frac{1}{3}$

10.x + 2y + 3 = 0 to'g'ri chiziqning Ox o'qi bilan kesishish nuqtasini toping.

• A)(-3; 0)
• B)(0; -3)
• C)(3; 0)
• D)(-1,5; 0)