ᠫᠠᠷᠠᠪᠣᠯ

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

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

ᠥᠭᠡᠷ ‍ᠡ᠋ ‍ᠪᠡᠷ ᠬᠡᠯᠡᠪᠡᠯ ᠫᠠᠷᠠᠪᠣᠯ ᠠᠨᠤ ᠲᠥᠪ ᠴᠡᠭ ᠪᠤᠶᠤ ᠹᠣᠻᠦ᠋ᠰ^focus ᠴᠡᠭ ᠪᠠ ᠳᠢᠷᠧᠻᠲᠢᠰ^directrix ᠰᠢᠯᠠᠭᠤᠨ ᠡᠴᠡ ᠪᠠᠨ ᠠᠳᠢᠯ ᠵᠠᠢ ᠳ᠋ᠤ ᠠᠯᠤᠰᠯᠠᠭᠳᠠᠭᠰᠠᠨ ᠴᠡᠭ ‍ᠦᠨ ᠣᠯᠠᠨᠯᠢᠭ ᠪᠣᠯᠬᠤ ᠬᠠᠪᠲᠠᠭᠠᠢ ᠮᠤᠷᠤᠢ ᠰᠢᠭᠤᠮ ᠶᠤᠮ᠃^[1]

ᠲᠡᠭᠦᠨᠴᠢᠯᠡᠨ ᠫᠠᠷᠠᠪᠣᠯ ᠨᠢ ᠳᠤᠭᠤᠢ ᠻᠣᠨᠦ᠋ᠰ ‍ᠤᠨ ᠭᠠᠷᠠᠷᠭᠤ ᠪᠠ ᠬᠠᠪᠲᠠᠭᠠᠢ ‍ᠢᠢᠨ ᠣᠭᠲᠤᠯᠤᠯᠴᠠᠯ ᠶᠤᠮ᠃^[2]

ᠲᠣᠭᠤᠷᠢᠭ᠂ ᠧᠯᠯᠢᠫᠰ᠂ ᠾᠢᠫᠧᠷᠪᠣᠯ᠂ ᠫᠠᠷᠠᠪᠣᠯ - ᠡᠳᠡᠭᠡᠷ ᠨᠢ ᠻᠣᠨᠦ᠋ᠰ ‍ᠤᠨ ᠣᠭᠲᠤᠯᠤᠯ ᠪᠠᠢᠢᠳᠠᠭ᠃ ^[3]

ᠫᠠᠷᠠᠪᠣᠯ ᠲᠣᠯᠢᠨ ᠰᠢᠮᠮᠧᠲ᠋ᠷ ᠳᠦᠷᠰᠦ ᠲᠡᠢ ᠮᠤᠷᠤᠢ ᠪᠢᠯᠡ᠃

ᠲᠡᠭᠰᠢᠳᠬᠡᠯ

	ᠲᠥᠪ ᠴᠡᠭ ᠪᠠ ᠲᠤᠬᠠᠢ ‍ᠢᠢᠨ ᠰᠢᠯᠠᠭᠤᠨ ᠡᠴᠡ ᠠᠳᠢᠯ ᠵᠠᠢ ᠳ᠋ᠤ ᠪᠠᠢᠢᠷᠢᠯᠠᠬᠤ ᠴᠡᠭ ‍ᠦᠳ ‍ᠦᠨ ᠣᠯᠠᠨᠯᠢᠭ ‍ᠢ ᠫᠠᠷᠠᠪᠣᠯ ᠭᠡᠨ᠎ ‍ᠡ᠋᠃ ᠲᠥᠪ ᠴᠡᠭ ᠨᠢ ᠹᠣᠻᠦ᠋ᠰ᠂ ᠰᠢᠯᠠᠭᠤᠨ ᠨᠢ ᠳ᠋ᠢᠷᠧᠻᠲ᠋ᠷᠢᠰ ᠪᠣᠯᠤᠨ᠎ ‍ᠠ᠋

ᠻᠸᠠᠲᠷᠠᠲ^quadratic ᠲᠡᠭᠰᠢᠳᠬᠡᠯ ‍ᠦᠨ ᠭᠷᠠᠫᠾᠢᠻ^graphic ᠨᠢ ᠨᠤᠮ ᠬᠡᠯᠪᠡᠷᠢ ᠲᠡᠢ ᠫᠠᠷᠠᠪᠣᠯ ᠪᠠᠢᠢᠳᠠᠭ᠃^[2]

ᠻᠸᠠᠲᠷᠠᠲ ᠲᠡᠭᠰᠢᠳᠬᠡᠯ ᠨᠢ ᠳᠠᠷᠠᠭᠠᠬᠢ ᠪᠠᠢᠢᠳᠠᠯ ‍ᠢᠢᠠᠷ ᠪᠢᠴᠢᠭᠳᠡᠳᠡᠭ᠄

$y=ax^{2}+bx+c$

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

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

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

ᠪᠠᠰᠠ ᠨᠢᠭᠡᠨ ᠭᠠᠷᠴᠠᠭ

ᠲᠠᠨ ‍ᠤ ᠪᠢᠴᠢᠪᠦᠷᠢ

ᠡᠬᠢ ᠰᠤᠷᠪᠤᠯᠵᠢ

</reference>

↑ Interactive Mathematics. The Parabola. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/04/10
↑ ^2.0 ^2.1 Varsity Tutors. Hotmath. Parabolas. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/04/10
↑ Math is Fun. Conic Sections. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/04/10

[1] Interactive Mathematics. The Parabola. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/04/10

[:0-2] 2.0 ^2.1 Varsity Tutors. Hotmath. Parabolas. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/04/10

[3] Math is Fun. Conic Sections. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/04/10

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