ᠫᠠᠷᠠᠪᠣᠯ

ᠡᠨᠡ ᠨᠡᠢᠢᠲᠡᠯᠡᠯ ‍ᠢ ᠮᠡᠷᠭᠡᠵᠢᠯ ‍ᠦᠨ ᠬᠦᠮᠦᠰ
(ᠮᠠᠲ᠋ᠾᠧᠮᠠᠲ᠋ᠢᠭᠴᠢᠳ᠂ ᠪᠠᠭᠰᠢ ᠨᠠᠷ)
ᠬᠢᠨᠠᠨ ᠵᠠᠰᠠᠪᠤᠷᠢᠯᠠᠬᠤ ᠱᠠᠭᠠᠷᠳᠠᠯᠭᠠᠲᠠᠢ

Энэ
нийтлэлийг
мэргэжлийн
хүмүүс
(математикчид,
багш нар)
хянан
засварлах
шаардлагатай

ᠫᠠᠷᠠᠪᠣᠯ

ᠲᠥᠪ ᠴᠡᠭ ᠪᠠ ᠲᠤᠬᠠᠢ ‍ᠢᠢᠨ ᠰᠢᠯᠤᠭᠤᠨ ᠡᠴᠡ ᠠᠳᠠᠯᠢ ᠵᠠᠢ ᠳ᠋ᠤ ᠪᠠᠢᠢᠷᠢᠯᠠᠬᠤ ᠴᠡᠭ ‍ᠦᠳ ‍ᠦᠨ ᠣᠯᠠᠨᠯᠢᠭ ‍ᠢ ᠫᠠᠷᠠᠪᠣᠯ ᠭᠡᠨ᠎ ‍ᠡ᠋ ᠃

ᠲᠤᠬᠠᠢ ‍ᠢᠢᠨ ᠴᠡᠭ ᠪᠠ ᠲᠤᠬᠠᠢ ‍ᠢᠢᠨ ᠰᠢᠯᠤᠭᠤᠨ ᠡᠴᠡ ᠠᠳᠠᠯᠢ ᠵᠠᠢ ᠳ᠋ᠤ ᠪᠠᠢᠢᠷᠢᠯᠠᠬᠤ ᠴᠡᠭ ‍ᠦᠳ ‍ᠦᠨ ᠣᠯᠠᠨᠯᠢᠭ ‍ᠢ ᠫᠠᠷᠠᠪᠣᠯ^parabola ᠬᠡᠮᠡᠮᠦᠢ᠃

ᠥᠭᠡᠷ ‍ᠡ᠋ ‍ᠪᠡᠷ ᠬᠡᠯᠡᠪᠡᠯ ᠫᠠᠷᠠᠪᠣᠯ ᠠᠨᠤ ᠲᠥᠪ ᠴᠡᠭ ᠪᠤᠶᠤ ᠹᠣᠻᠦ᠋ᠰ^focus ᠴᠡᠭ ᠪᠠ ᠳᠢᠷᠧᠻᠲ᠋ᠷᠢᠰ^directrix ᠰᠢᠯᠤᠭᠤᠨ ᠡᠴᠡ ᠪᠠᠨ ᠠᠳᠠᠯᠢ ᠵᠠᠢ ᠳ᠋ᠤ ᠠᠯᠤᠰᠯᠠᠭᠳᠠᠭᠰᠠᠨ ᠴᠡᠭ ‍ᠦᠨ ᠣᠯᠠᠨᠯᠢᠭ ᠪᠣᠯᠬᠤ ᠬᠠᠪᠲᠠᠭᠠᠢ ᠮᠤᠷᠤᠢ ᠱᠤᠭᠤᠮ ᠶᠤᠮ᠃<ref>Interactive Mathematics. The Parabola. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/04/10</ref>

ᠲᠡᠭᠦᠨᠴᠢᠯᠡᠨ ᠫᠠᠷᠠᠪᠣᠯ ᠨᠢ ᠳᠤᠭᠤᠢ ᠻᠣᠨᠦ᠋ᠰ ‍ᠤᠨ^конус ᠭᠠᠳᠠᠷᠭᠤ ᠪᠠ ᠬᠠᠪᠲᠠᠭᠠᠢ ‍ᠢᠢᠨ ᠣᠭᠲᠤᠯᠤᠯᠴᠠᠯ ᠶᠤᠮ᠃<ref name=":0">Varsity Tutors. Hotmath. Parabolas. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/04/10</ref>

ᠲᠣᠭᠤᠷᠢᠭ᠂ ᠧᠯᠯᠢᠫᠰ^ellipse᠂ ᠾᠢᠫᠧᠷᠪᠣᠯ^hyperbola᠂ ᠫᠠᠷᠠᠪᠣᠯ - ᠡᠳᠡᠭᠡᠷ ᠨᠢ ᠻᠣᠨᠦ᠋ᠰ ‍ᠤᠨ ᠣᠭᠲᠤᠯᠤᠯ ᠪᠠᠢᠢᠳᠠᠭ᠃ <ref>Math is Fun. Conic Sections. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/04/10</ref>

ᠫᠠᠷᠠᠪᠣᠯ ᠲᠣᠯᠢᠨ ᠲᠡᠭᠰᠢ ᠬᠡᠮᠲᠦ ᠳᠦᠷᠰᠦ ᠲᠡᠢ ᠮᠤᠷᠤᠢ ᠪᠢᠯᠡ᠃

ᠲᠡᠭᠰᠢᠳᠬᠡᠯ

ᠻᠸᠠᠲᠷᠠᠲ^quadratic ᠲᠡᠭᠰᠢᠳᠬᠡᠯ ‍ᠦᠨ ᠭᠷᠠᠫᠾᠢᠻ^graphic ᠨᠢ ᠨᠤᠮᠤ ᠬᠡᠯᠪᠡᠷᠢ ᠲᠡᠢ ᠫᠠᠷᠠᠪᠣᠯ ᠪᠠᠢᠢᠳᠠᠭ᠃<ref name=":0" />

ᠻᠸᠠᠲᠷᠠᠲ ᠲᠡᠭᠰᠢᠳᠬᠡᠯ ᠨᠢ ᠳᠠᠷᠠᠭᠠᠬᠢ ᠪᠠᠢᠢᠳᠠᠯ ‍ᠢᠢᠠᠷ ᠪᠢᠴᠢᠭᠳᠡᠳᠡᠭ᠄



$y=a{x}^2+bx+c$

ᠡᠭᠦᠨ ᠳ᠋ᠦ᠄ $a,b,c\in \mathbb{ℝ},a\ne 0$ ᠪᠤᠶᠤ a, b, c ᠨᠢ ᠪᠣᠳᠠᠲᠤ ᠲᠣᠭ᠎ ‍ᠠ᠋ ᠪᠠᠢᠢᠨ᠎ ‍ᠠ᠋᠃

ᠮᠥᠨ a ᠨᠢ 0 ᠪᠤᠰᠤ ᠤᠳᠬ ‍ᠠ᠋ ᠲᠠᠢ ᠪᠠᠢᠢᠨ᠎ ‍ᠠ᠋᠃

b ‍ᠢᠢᠨ ᠤᠳᠬ ‍ᠠ᠋

$y=x^2$ ᠬᠡᠯᠪᠡᠷᠢ ‍ᠢᠢᠨ ᠹᠦᠨ᠍ᠻᠼᠢ ‍ᠢᠢᠨ^function ᠭᠷᠠᠫᠾᠢᠻ ᠴᠤ ᠫᠠᠷᠠᠪᠣᠯ ᠪᠠᠢᠢᠬᠤ ᠠᠭᠠᠳ ᠡᠨᠡ ᠨᠢ $a=1$ ᠪᠥᠭᠡᠳ $b=c=0$ ᠪᠠᠢᠢᠬᠤ ᠦᠶ ‍ᠡ᠋ ‍ᠢᠢᠨ ᠲᠣᠬᠢᠶᠠᠯᠳᠠ ᠶᠤᠮ᠃

ᠫᠠᠷᠠᠪᠣᠯ ‍ᠤᠨ ᠲᠡᠭᠰᠢᠳᠬᠡᠯ ‍ᠦᠨ ᠰᠣᠩᠭᠤᠳᠠᠭ ᠬᠡᠯᠪᠡᠷᠢ ᠨᠢ ᠳᠠᠷᠠᠭᠠᠬᠢ ᠪᠠᠢᠢᠳᠠᠯ ‍ᠢᠢᠠᠷ ᠪᠢᠴᠢᠭᠳᠡᠳᠡᠭ᠄

$y^2=2px$ ᠡᠭᠦᠨ ᠳ᠋ᠦ᠄ $p>0$ ᠪᠠᠢᠢᠬᠤ ᠠᠭᠠᠳ ᠹᠣᠻᠦ᠋ᠰ ᠪᠠ ᠳ᠋ᠢᠷᠧᠻᠲ᠋ᠷᠢᠰ ‍ᠦᠨ ᠬᠣᠭᠤᠷᠤᠨᠳᠤᠬᠢ ᠵᠠᠢ ᠲᠠᠢ ᠲᠡᠩᠴᠡᠨ᠎ ‍ᠡ᠋᠃

$p$ ᠨᠢ ᠹᠣᠻᠦ᠋ᠰ ᠪᠠ ᠳ᠋ᠢᠷᠧᠻᠲ᠋ᠷᠢᠰ ‍ᠦᠨ ᠬᠣᠭᠤᠷᠤᠨᠳᠤᠬᠢ ᠵᠠᠢ ᠲᠠᠢ ᠲᠡᠩᠴᠡᠨ᠎ ‍ᠡ᠋

ᠨᠡᠷ ‍ᠡ᠋ ᠲᠣᠮᠢᠶᠠᠯᠠᠯ

ᠫᠠᠷᠠᠪᠣᠯ - parabola - парабола

ᠴᠡᠭ - point - точка

ᠣᠯᠠᠨᠯᠢᠭ - set - множество

ᠮᠤᠷᠤᠢ - curve - кривая

ᠲᠡᠭᠰᠢᠳᠬᠡᠯ - equation - уравнение

ᠲᠡᠩᠴᠡᠳᠬᠡᠯ ᠪᠢᠰᠢ - inequality - неравенство

ᠲᠣᠮᠢᠶ ‍ᠠ᠋ - formula - формула

ᠹᠦᠨ᠍ᠻᠼᠢ - function - функция

ᠹᠣᠻᠦ᠋ᠰ - focus - фокус

ᠳ᠋ᠢᠷᠧᠻᠲ᠋ᠷᠢᠰ - directrix - директриса

ᠲᠡᠭᠰᠢ ᠬᠡᠮ - symmetry - симметрия

ᠤᠶᠠᠯᠳᠤᠭ᠎ ‍ᠠ᠋ ᠲᠠᠢ ᠨᠡᠢᠢᠲᠡᠯᠡᠯ

ᠾᠢᠫᠧᠷᠪᠣᠯ

ᠡᠬᠢ ᠰᠤᠷᠪᠤᠯᠵᠢ

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