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Masofani topish formulasini takrorlash

Masofani topish formulasini va undan misollar yechishda foydalanishni takrorlang.

Masofa formulasi nima?

Mazkur formula 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 orasidagi masofani hisoblashda yordam beradi:
square root of, left parenthesis, start color #1fab54, x, start subscript, 2, end subscript, minus, x, start subscript, 1, end subscript, end color #1fab54, right parenthesis, squared, plus, left parenthesis, start color #e07d10, y, start subscript, 2, end subscript, minus, y, start subscript, 1, end subscript, end color #e07d10, right parenthesis, squared, end square root
U Pifagor teoremasidan keltirib chiqarilgan.
Masofa formulasi haqida koʻproq maʼlumotga ega boʻlmoqchimisiz? Mana bu videoni koʻring.

Masofa formulasi yordamida qanday misollarni yecha olaman?

Tekislikda yotgan ikkita nuqtani olib, ularning orasidagi masofani topishingiz mumkin. Masalan, keling, left parenthesis, start color #1fab54, 1, end color #1fab54, comma, start color #e07d10, 2, end color #e07d10, right parenthesis va left parenthesis, start color #1fab54, 9, end color #1fab54, comma, start color #e07d10, 8, end color #e07d10, right parenthesis orasidagi masofani topamiz:
=(x2x1)2+(y2y1)2=(91)2+(82)2Koordinatalarni formulaga qoʻyamiz=82+62=100=10\begin{aligned} &\phantom{=}\sqrt{(\greenD{x_2 - x_1})^2 + (\goldD{y_2 - y_1})^2} \\\\ &=\sqrt{(\greenD{9 -1})^2 + (\goldD{8 - 2})^2}\quad\small\gray{\text{Koordinatalarni formulaga qoʻyamiz}} \\\\ &=\sqrt{8^2+6^2} \\\\ &=\sqrt{100} \\\\ &=10 \end{aligned}
Eʼtibor bering, biz x-koordinatalarni va y-koordinatalarni alohida guruhlashda juda eʼtiborli boʻldik va ularni aralashtirib yubormadik.

Tushunganingizni tekshiring

1-masala
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left parenthesis, 4, comma, 2, right parenthesis va left parenthesis, 8, comma, 5, right parenthesis nuqtalar orasidagi masofa qanchaga teng?
Bitta javobni tanlang:

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