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Markaziy nuqta formulasi

Ikki nuqta orasidagi markaziy nuqtani topish uchun umumiy formula yozing.
Koordinata tekisligida yotgan ikkita nuqta left parenthesis, start color #1fab54, x, start subscript, 1, end subscript, end color #1fab54, comma, start color #e07d10, y, start subscript, 1, end subscript, end color #e07d10, right parenthesis va left parenthesis, start color #1fab54, x, start subscript, 2, end subscript, end color #1fab54, comma, start color #e07d10, y, start subscript, 2, end subscript, end color #e07d10, right parenthesis start color #11accd, start text, o, ʻ, r, t, a, s, i, d, a, g, i, space, n, u, q, t, a, end text, end color #11accd quyidagi formula orqali hisoblanadi:
left parenthesis, start color #1fab54, start fraction, x, start subscript, 1, end subscript, plus, x, start subscript, 2, end subscript, divided by, 2, end fraction, end color #1fab54, comma, start color #e07d10, start fraction, y, start subscript, 1, end subscript, plus, y, start subscript, 2, end subscript, divided by, 2, end fraction, end color #e07d10, right parenthesis
Ushbu maqolada mazkur formulani oʻzimiz keltirib chiqaramiz!

Nuqtalar oʻrtasini topish formulasini keltirib chiqarish

Keling, ishni oldin left parenthesis, start color #1fab54, x, start subscript, 1, end subscript, end color #1fab54, comma, start color #e07d10, y, start subscript, 1, end subscript, end color #e07d10, right parenthesis va left parenthesis, start color #1fab54, x, start subscript, 2, end subscript, end color #1fab54, comma, start color #e07d10, y, start subscript, 2, end subscript, end color #e07d10, right parenthesis nuqtalarni yasashdan boshlaymiz.
start color #11accd, start text, M, a, r, k, a, z, i, y, space, n, u, q, t, a, end text, end color #11accd bu har bir nuqtagacha boʻlgan yarim masofadir:
x-koordinatasidagi start color #11accd, start text, n, u, q, t, a, l, a, r, space, o, ʻ, r, t, a, s, i, n, i, space, end text, end color #11accd topish ifodasi start color #1fab54, start fraction, x, start subscript, 1, end subscript, plus, x, start subscript, 2, end subscript, divided by, 2, end fraction, end color #1fab54:
Shuningdek, y-koordinatasidagi start color #11accd, start text, n, u, q, t, a, l, a, r, space, o, ʻ, r, t, a, s, i, n, i, end text, end color #11accd topish ifodasi start color #e07d10, start color #e07d10, start fraction, y, start subscript, 1, end subscript, plus, y, start subscript, 2, end subscript, divided by, 2, end fraction, end color #e07d10, end color #e07d10:
Ana boʻldi! Quyidagi formulani biz start color #11accd, start text, n, u, q, t, a, l, a, r, space, o, ʻ, r, t, a, s, i, n, i, end text, end color #11accd topish uchun keltirib chiqardik:
left parenthesis, start color #1fab54, start fraction, x, start subscript, 1, end subscript, plus, x, start subscript, 2, end subscript, divided by, 2, end fraction, end color #1fab54, comma, start color #e07d10, start fraction, y, start subscript, 1, end subscript, plus, y, start subscript, 2, end subscript, divided by, 2, end fraction, end color #e07d10, right parenthesis
Qizigʻi shundaki, koʻpchilik bu formulaning aynan oʻzini eslab qolishmaydi. Uning oʻrniga nuqtalar oʻrtasini topish uchun x va y-koordinatalarining oʻrtachasi olinadi deb hisoblashadi.

Mashqlar

start color #6495ed, A, end color #6495ed nuqta start color #6495ed, left parenthesis, minus, 6, comma, 8, right parenthesis, end color #6495ed da va start color #28ae7b, B, end color #28ae7b nuqta start color #28ae7b, left parenthesis, 6, comma, minus, 7, right parenthesis, end color #28ae7b koordinatalarda joylashgan.
start overline, A, B, end overline kesmaning markaziy nuqtasi qaysi?
left parenthesis
  • Javobingiz quyidagicha boʻlishi kerak:
  • 6 kabi butun son
  • 3, slash, 5 kabi soddalashtirilga toʻgʻri kasr
  • 7, slash, 4 kabi soddalashtirilgan notoʻgʻri kasr
  • 1, space, 3, slash, 4 kabi aralash son
  • 0, point, 75 kabi aniq oʻnli kasr
  • 12, space, start text, p, i, end text yoki 2, slash, 3, space, start text, p, i, end text kabi pi ning karralisi
,
  • Javobingiz quyidagicha boʻlishi kerak:
  • 6 kabi butun son
  • 3, slash, 5 kabi soddalashtirilga toʻgʻri kasr
  • 7, slash, 4 kabi soddalashtirilgan notoʻgʻri kasr
  • 1, space, 3, slash, 4 kabi aralash son
  • 0, point, 75 kabi aniq oʻnli kasr
  • 12, space, start text, p, i, end text yoki 2, slash, 3, space, start text, p, i, end text kabi pi ning karralisi
right parenthesis