17:57, 10 Дөрөвдүгээр сар 2021-ий байдлаарх одоогийн засвар

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

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

ᠾᠢᠫᠧᠷᠪᠣᠯ[засварлах | кодоор засварлах]


alight: top	ᠬᠣᠶᠠᠷ ᠲᠥᠪ ᠴᠡᠭ ᠡᠴᠡ ᠣᠯᠠᠨᠯᠢᠭ ‍ᠤᠨ ᠠᠯᠢ ᠴᠤ ᠴᠡᠭ ᠲᠦ ᠬᠦᠷᠬᠦ ᠵᠠᠢ ‍ᠢᠢᠨ ᠢᠯᠭᠠᠭ᠎ ‍ᠠ᠋ ᠲᠣᠭᠲᠠᠮᠠᠯ ᠪᠠᠢᠢᠨ᠎ ‍ᠠ᠋

ᠾᠢᠫᠧᠷᠪᠣᠯ^hyperbola ᠭᠡᠵᠦ ᠬᠣᠭᠤᠷᠤᠨᠳᠤ ᠪᠠᠨ ᠦᠯᠦ ᠣᠭᠲᠤᠯᠤᠯᠴᠠᠬᠤ ᠬᠣᠶᠠᠷ ᠮᠤᠷᠤᠢ ‍ᠢᠢ ᠬᠡᠯᠡᠳᠡᠭ᠃ ᠡᠨᠡ ᠨᠢ ᠬᠣᠶᠠᠳᠤᠭᠠᠷ ᠡᠷᠡᠮᠪᠡ ‍ᠢᠢᠨ ᠬᠢᠵᠠᠭᠠᠷ ᠦᠭᠡᠢ ᠦᠷᠭᠡᠯᠵᠢᠯᠡᠬᠦ ᠬᠣᠶᠠᠷ ᠬᠠᠪᠲᠠᠭᠠᠢ ᠮᠤᠷᠤᠢ ᠶᠤᠮ᠃ ᠾᠢᠫᠧᠷᠪᠣᠯ ‍ᠢ M ᠴᠡᠭ ‍ᠦᠳ ‍ᠦᠨ ᠣᠯᠠᠨᠯᠢᠭ ᠭᠡᠪᠡᠯ ᠾᠶᠫᠧᠷᠪᠣᠯ ‍ᠤᠨ ᠹᠣᠻᠦ᠋ᠰ^focus F₁ ᠪᠠ F₂ ᠴᠡᠭ ᠡᠴᠡ ᠣᠯᠠᠨᠯᠢᠭ ‍ᠤᠨ ᠠᠯᠢ ᠴᠤ M ᠴᠡᠭ ᠬᠦᠷᠲᠡᠯᠡᠬᠢ ᠵᠠᠢ ‍ᠢᠢᠨ ᠢᠯᠭᠠᠭ᠎ ‍ᠠ᠋ ᠲᠣᠭᠲᠠᠮᠠᠯ ᠪᠠᠢᠢᠨ᠎ ‍ᠠ᠋᠃


alight: top	F₁, F₂ ᠨᠢ ᠾᠢᠫᠧᠷᠪᠣᠯ ‍ᠤᠨ ᠹᠣᠻᠦᠰ

ᠲᠡᠭᠰᠢᠳᠬᠡᠯ[засварлах | кодоор засварлах]

ᠾᠢᠫᠧᠷᠪᠣᠯ ‍ᠤᠨ ᠲᠣᠮᠢᠶ ‍ᠠ᠋᠄

$y={\frac {k}{x}}$

ᠡᠭᠦᠨ ᠳ᠋ᠦ᠄
k ᠨᠢ 0 ᠲᠡᠢ ᠲᠡᠩᠴᠡᠭᠦᠦ ᠪᠢᠰᠢ ᠪᠠᠢᠢᠬᠤ ᠨᠥᠬᠦᠴᠡᠯ ᠲᠡᠢ᠃
ᠥᠭᠡᠷ ‍ᠡ᠋ ᠪᠡᠷ ᠬᠡᠯᠡᠪᠡᠯ ᠾᠢᠫᠧᠷᠪᠣᠯ ᠨᠢ 0 ᠦᠷᠦᠭᠦ ᠲᠡᠮᠡᠦᠯᠬᠦ ᠪᠣᠯᠪᠠᠴᠤ ᠬᠡᠵᠢᠶ ‍ᠡ᠋ ᠴᠦ 0 ᠲᠡᠢ ᠲᠡᠩᠴᠡᠭᠦ ᠦᠭᠡᠢ᠃^[1]


	k ᠨᠢ 0 ᠡᠴᠡ ᠶᠡᠬᠡ ᠤᠳᠬ ‍᠋ᠠ᠋ ᠲᠠᠢ ᠾᠢᠫᠧᠷᠪᠣᠯ

ᠾᠢᠫᠧᠡᠪᠣᠯ ‍ᠤᠨ ᠲᠡᠭᠰᠢᠳᠬᠡᠯ ‍ᠦᠨ ᠦᠨᠳᠦᠰᠦᠨ ᠬᠡᠯᠪᠡᠷᠢ (0, 0) ᠲᠥᠪ ᠲᠡᠢ ᠦᠶ ‍ᠡ᠋ ᠳ᠋ᠦ ᠳᠠᠷᠠᠭᠠᠬᠢ ᠪᠠᠢᠢᠳᠠᠯ ‍ᠢᠢᠠᠷ ᠪᠢᠴᠢᠭᠳᠡᠨ᠎ ‍ᠡ᠋᠄ ^[2]

${\frac {x^{2}}{a^{2}}}-{\frac {y^{2}}{b^{2}}}=1$

ᠡᠭᠦᠨ ᠳ᠋ᠦ᠄
a ᠨᠢ ᠪᠣᠳᠠᠲᠤ ᠬᠠᠭᠠᠰ ᠲᠡᠩᠬᠡᠯᠢᠭ
b ᠨᠢ ᠬᠠᠭᠤᠷᠮᠠᠭ (ᠬᠣᠣᠰᠮᠠᠭ^[3]) ᠬᠠᠭᠠᠰ ᠲᠡᠩᠬᠡᠯᠢᠭ^[4]

	a ᠨᠢ ᠪᠣᠳᠠᠲᠤ ᠬᠠᠭᠠᠰ ᠲᠡᠩᠬᠡᠯᠢᠭ᠂ b ᠨᠢ ᠬᠠᠭᠤᠷᠮᠠᠭ (ᠬᠣᠣᠰᠮᠠᠭ) ᠬᠠᠭᠠᠰ ᠲᠡᠩᠬᠡᠯᠢᠭ ‍ᠢᠢᠨ ᠤᠷᠲᠤ ᠲᠠᠢ ᠲᠠᠩᠴᠡᠨ᠎ ‍ᠠ᠋

ᠨᠨᠷ ‍ᠡ᠋ ᠲᠣᠮᠢᠶᠠᠯᠠᠯ[засварлах | кодоор засварлах]

ᠾᠢᠫᠧᠷᠪᠣᠯ - hyperbola - гипербола

ᠴᠡᠭ - point - точка

ᠣᠯᠠᠨᠯᠢᠭ - set - множество

ᠮᠤᠷᠤᠢ - curve - кривая

ᠲᠡᠭᠰᠢᠳᠬᠡᠯ - equation - уравнение

ᠲᠡᠩᠴᠡᠳᠬᠡᠯ ᠪᠢᠰᠢ - inequality - неравенство

ᠲᠣᠮᠢᠶ ‍ᠠ᠋ - formula - формула

ᠹᠦᠨ᠍ᠻᠼᠢ - function - функция

ᠪᠣᠳᠠᠲᠤ ᠲᠡᠩᠬᠡᠯᠢᠭ - real axis - действительная ось

ᠬᠠᠭᠤᠷᠮᠠᠭ ᠲᠡᠩᠬᠡᠯᠢᠭ - imaginary axis - мнимая ось

ᠬᠣᠣᠰᠮᠠᠭ ᠲᠡᠩᠬᠡᠯᠢᠭ - conjugate axis - сопряжённая ось

ᠤᠶᠠᠯᠳᠤᠭ᠎ ‍ᠠ᠋ ᠲᠠᠢ ᠨᠡᠢᠢᠲᠡᠯᠡᠯ[засварлах | кодоор засварлах]

ᠫᠠᠷᠠᠪᠣᠯ

ᠡᠬᠢ ᠰᠤᠷᠪᠤᠯᠵᠢ[засварлах | кодоор засварлах]

↑ Глоссарий. Алгебра и геометрия. Гипербола. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/04/06
↑ College Algebra. Equations of Hyperbolas. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/04/06
↑ ᠡ᠊᠂ ᠸᠠᠩᠳᠤᠢ᠃ ᠣᠷᠤᠰ-ᠮᠣᠩᠭᠤᠯ ᠨᠡᠷ ‍ᠡ᠋ ᠮᠣᠮᠢᠶᠠᠨ ‍ᠤ ᠲᠣᠯᠢ᠃ ᠪᠦ᠊᠂ ᠨᠠ᠊᠂ ᠮᠣ᠊᠂ ᠠ᠊᠂ ᠤ᠊᠂ ‍ᠤᠨ ᠰᠢᠨᠵᠢᠯᠡᠬᠦ ᠤᠬᠠᠭᠠᠨ ‍ᠤ ᠠᠻᠠᠳᠧᠮᠢ᠃ ᠬᠡᠯᠡ ᠵᠣᠬᠢᠶᠠᠯ ‍ᠤᠨ ᠬᠦᠷᠢᠶᠡᠯᠡᠩ᠃ ᠤᠯᠤᠰ ‍ᠤᠨ ᠬᠡᠪᠯᠡᠯ ‍ᠦᠨ ᠬᠡᠷᠡᠭ ᠡᠷᠬᠢᠯᠡᠬᠦ ᠬᠣᠷᠢᠶ ‍ᠠ᠋᠃ ᠤᠯᠠᠭᠠᠨᠪᠠᠭᠠᠲᠤᠷ 1964᠃
↑ ᠾᠢᠫᠧᠷᠪᠣᠯ ‍ᠤᠨ ᠲᠡᠭᠰᠢᠳᠬᠡᠯ᠃ ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/04/06

[1] Глоссарий. Алгебра и геометрия. Гипербола. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/04/06

[2] College Algebra. Equations of Hyperbolas. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/04/06

[3] ᠡ᠊᠂ ᠸᠠᠩᠳᠤᠢ᠃ ᠣᠷᠤᠰ-ᠮᠣᠩᠭᠤᠯ ᠨᠡᠷ ‍ᠡ᠋ ᠮᠣᠮᠢᠶᠠᠨ ‍ᠤ ᠲᠣᠯᠢ᠃ ᠪᠦ᠊᠂ ᠨᠠ᠊᠂ ᠮᠣ᠊᠂ ᠠ᠊᠂ ᠤ᠊᠂ ‍ᠤᠨ ᠰᠢᠨᠵᠢᠯᠡᠬᠦ ᠤᠬᠠᠭᠠᠨ ‍ᠤ ᠠᠻᠠᠳᠧᠮᠢ᠃ ᠬᠡᠯᠡ ᠵᠣᠬᠢᠶᠠᠯ ‍ᠤᠨ ᠬᠦᠷᠢᠶᠡᠯᠡᠩ᠃ ᠤᠯᠤᠰ ‍ᠤᠨ ᠬᠡᠪᠯᠡᠯ ‍ᠦᠨ ᠬᠡᠷᠡᠭ ᠡᠷᠬᠢᠯᠡᠬᠦ ᠬᠣᠷᠢᠶ ‍ᠠ᠋᠃ ᠤᠯᠠᠭᠠᠨᠪᠠᠭᠠᠲᠤᠷ 1964᠃

[4] ᠾᠢᠫᠧᠷᠪᠣᠯ ‍ᠤᠨ ᠲᠡᠭᠰᠢᠳᠬᠡᠯ᠃ ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/04/06

[1]

[2]

[3]

[4]

@@ 1-р мөр: / 1-р мөр: @@
 <div style="max-height: 80vh; writing-mode: vertical-lr; font-family: 'Noto Sans Mongolian'">
+<br>
+<span style="color:Blue; max-height: 30vh;">ᠡᠨᠡ ᠨᠡᠢᠢᠲᠡᠯᠡᠯ ‍ᠢ ᠮᠡᠷᠭᠡᠵᠢᠯ ‍ᠦᠨ ᠬᠦᠮᠦᠰ <br>(<span style="color:Red;">ᠮᠠᠲ᠋ᠾᠧᠮᠠᠲ᠋ᠢᠭᠴᠢᠳ᠂ ᠪᠠᠭᠰᠢ ᠨᠠᠷ</span>)<br> ᠬᠢᠨᠠᠨ ᠵᠠᠰᠠᠪᠤᠷᠢᠯᠠᠬᠤ ᠱᠠᠭᠠᠷᠳᠠᠯᠭᠠᠲᠠᠢ</span><br><br>
+<span style="color:Blue; writing-mode: horizontal-tb;">Энэ<br>нийтлэлийг<br>мэргэжлийн<br>хүмүүс<br>(<span style="color:Red;">математикчид,<br>багш нар</span>)<br>хянан<br>засварлах<br>шаардлагатай</span>
+<br><br>
+__TOC__
+<br>
 =ᠾᠢᠫᠧᠷᠪᠣᠯ=
 <br>
@@ 5-р мөр: / 11-р мөр: @@
 |+
 |[[File:Equidistant-set-of-two-circles-hyperbola.gif|alight: top|thumb|left]]
-|style = "height: 100px;"|ᠬᠣᠶᠠᠷ ᠲᠥᠪ ᠴᠡᠭ ᠡᠴᠡ ᠣᠯᠠᠨᠯᠢᠭ ‍ᠤᠨ ᠠᠯᠢ ᠴᠤ ᠴᠡᠭ ᠲᠦ ᠬᠦᠷᠡᠬᠦ ᠵᠠᠢ ‍ᠢᠢᠨ ᠢᠯᠭᠠᠭ᠎ ‍ᠠ᠋ ᠲᠣᠭᠲᠠᠮᠠᠯ ᠪᠠᠢᠢᠨ᠎ ‍ᠠ᠋
+|style = "height: 100px;"|ᠬᠣᠶᠠᠷ ᠲᠥᠪ ᠴᠡᠭ ᠡᠴᠡ ᠣᠯᠠᠨᠯᠢᠭ ‍ᠤᠨ ᠠᠯᠢ ᠴᠤ ᠴᠡᠭ ᠲᠦ ᠬᠦᠷᠬᠦ ᠵᠠᠢ ‍ᠢᠢᠨ ᠢᠯᠭᠠᠭ᠎ ‍ᠠ᠋ ᠲᠣᠭᠲᠠᠮᠠᠯ ᠪᠠᠢᠢᠨ᠎ ‍ᠠ᠋
 |}
 <br>
 ᠾᠢᠫᠧᠷᠪᠣᠯ<sup>hyperbola</sup> ᠭᠡᠵᠦ ᠬᠣᠭᠤᠷᠤᠨᠳᠤ ᠪᠠᠨ ᠦᠯᠦ ᠣᠭᠲᠤᠯᠤᠯᠴᠠᠬᠤ ᠬᠣᠶᠠᠷ ᠮᠤᠷᠤᠢ ‍ᠢᠢ ᠬᠡᠯᠡᠳᠡᠭ᠃
-ᠡᠨᠡ ᠨᠢ ᠬᠣᠶᠠᠳᠤᠭᠠᠷ ᠡᠷᠡᠮᠪᠡ ‍ᠢᠢᠨ  ᠬᠢᠵᠠᠭᠠᠷ ᠦᠭᠡᠢ ᠦᠷᠭᠡᠯᠵᠢᠯᠡᠬᠦ ᠬᠣᠶᠠᠷ ᠬᠠᠪᠲᠠᠭᠠᠢ ᠮᠤᠷᠤᠢ ᠶᠤᠮ᠃
+ᠡᠨᠡ ᠨᠢ ᠬᠣᠶᠠᠳᠤᠭᠠᠷ ᠡᠷᠡᠮᠪᠡ ‍ᠢᠢᠨ ᠬᠢᠵᠠᠭᠠᠷ ᠦᠭᠡᠢ ᠦᠷᠭᠡᠯᠵᠢᠯᠡᠬᠦ ᠬᠣᠶᠠᠷ ᠬᠠᠪᠲᠠᠭᠠᠢ ᠮᠤᠷᠤᠢ ᠶᠤᠮ᠃
 ᠾᠢᠫᠧᠷᠪᠣᠯ ‍ᠢ M ᠴᠡᠭ ‍ᠦᠳ ‍ᠦᠨ ᠣᠯᠠᠨᠯᠢᠭ ᠭᠡᠪᠡᠯ ᠾᠶᠫᠧᠷᠪᠣᠯ ‍ᠤᠨ ᠹᠣᠻᠦ᠋ᠰ<sup>focus</sup> F<sub>1</sub> ᠪᠠ F<sub>2</sub> ᠴᠡᠭ ᠡᠴᠡ ᠣᠯᠠᠨᠯᠢᠭ ‍ᠤᠨ ᠠᠯᠢ ᠴᠤ M ᠴᠡᠭ ᠬᠦᠷᠲᠡᠯᠡᠬᠢ ᠵᠠᠢ ‍ᠢᠢᠨ ᠢᠯᠭᠠᠭ᠎ ‍ᠠ᠋ ᠲᠣᠭᠲᠠᠮᠠᠯ ᠪᠠᠢᠢᠨ᠎ ‍ᠠ᠋᠃
 <br><br>
@@ 15-р мөр: / 21-р мөр: @@
 |+
 |[[File:HyperbolaCentralEquation.png|alight: top|thumb|left]]
-|style = "height: 100px;"|
+|style = "height: 100px;"|<span style="writing-mode: horizontal-tb;">F<sub>1</sub>, F<sub>2</sub></span> ᠨᠢ ᠾᠢᠫᠧᠷᠪᠣᠯ ‍ᠤᠨ ᠹᠣᠻᠦᠰ
 |}
-<br><br>
+<br>
 ==ᠲᠡᠭᠰᠢᠳᠬᠡᠯ==
-ᠾᠢᠫᠧᠷᠳᠣᠯ ‍ᠤᠨ ᠲᠣᠮᠢᠶ ‍ᠠ᠋᠄
+ᠾᠢᠫᠧᠷᠪᠣᠯ ‍ᠤᠨ ᠲᠣᠮᠢᠶ ‍ᠠ᠋᠄
 <br><br>
 <span style="writing-mode: horizontal-tb;">
@@ 27-р мөр: / 32-р мөр: @@
 <br><br>
 <span style="max-height:50vh; writing-mode: vertical-lr; font-family: 'Noto Sans Mongolian'">
-ᠡᠭᠦᠨ ᠳ᠋ᠦ᠄ <br><span style="writing-mode: horizontal-tb;">k</span> ᠨᠢ <span style="writing-mode: horizontal-tb;">0</span> ᠲᠡᠢ ᠲᠡᠩᠴᠡᠭᠦ ᠪᠢᠰᠢ ᠪᠠᠢᠢᠬᠤ ᠨᠥᠬᠦᠴᠡᠯ ᠲᠡᠢ᠃ <br>ᠥᠭᠡᠷ ‍ᠡ᠋ ᠪᠡᠷ ᠬᠡᠯᠡᠪᠡᠯ ᠾᠢᠫᠧᠷᠪᠣᠯ ᠨᠢ <span style="writing-mode: horizontal-tb;">0</span> ᠦᠷᠦᠭᠦ ᠲᠡᠮᠡᠦᠯᠬᠦ ᠪᠣᠯᠪᠠᠴᠤ ᠬᠡᠵᠢᠶ ‍ᠡ᠋ ᠴᠦ <span style="writing-mode: horizontal-tb;">0</span> ᠲᠡᠢ ᠲᠡᠩᠴᠡᠭᠦ ᠦᠭᠡᠢ᠃<ref>[http://edu.glavsprav.ru/info/giperbola Глоссарий. Алгебра и геометрия. Гипербола]. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/04/06</ref>
+ᠡᠭᠦᠨ ᠳ᠋ᠦ᠄ <br><span style="writing-mode: horizontal-tb;">k</span> ᠨᠢ <span style="writing-mode: horizontal-tb;">0</span> ᠲᠡᠢ ᠲᠡᠩᠴᠡᠭᠦᠦ ᠪᠢᠰᠢ ᠪᠠᠢᠢᠬᠤ ᠨᠥᠬᠦᠴᠡᠯ ᠲᠡᠢ᠃ <br>ᠥᠭᠡᠷ ‍ᠡ᠋ ᠪᠡᠷ ᠬᠡᠯᠡᠪᠡᠯ ᠾᠢᠫᠧᠷᠪᠣᠯ ᠨᠢ <span style="writing-mode: horizontal-tb;">0</span> ᠦᠷᠦᠭᠦ ᠲᠡᠮᠡᠦᠯᠬᠦ ᠪᠣᠯᠪᠠᠴᠤ ᠬᠡᠵᠢᠶ ‍ᠡ᠋ ᠴᠦ <span style="writing-mode: horizontal-tb;">0</span> ᠲᠡᠢ ᠲᠡᠩᠴᠡᠭᠦ ᠦᠭᠡᠢ᠃<ref>[http://edu.glavsprav.ru/info/giperbola Глоссарий. Алгебра и геометрия. Гипербола]. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/04/06</ref>
 </span>
 </span><br><br>
@@ 37-р мөр: / 42-р мөр: @@
 <br>
-ᠾᠢᠫᠧᠡᠪᠣᠯ ‍ᠤᠨ ᠲᠡᠭᠰᠢᠳᠬᠡᠯ ‍ᠦᠨ ᠦᠨᠳᠦᠰᠦᠨ ᠬᠡᠯᠪᠡᠷᠢ <span style="writing-mode: horizontal-tb;">(0,0)</span> ᠲᠥᠪ ᠲᠡᠢ ᠦᠶ ‍ᠡ᠋ ᠳ᠋ᠦ ᠳᠠᠷᠠᠭᠠᠬᠢ ᠪᠠᠢᠢᠳᠠᠯ ‍ᠢᠢᠠᠷ ᠪᠢᠴᠢᠭᠳᠡᠨ᠎ ‍ᠡ᠋᠄ <ref>[https://www.coursehero.com/file/p4r84m4e/%D0%93%D0%B8%D0%BF%D0%B5%D1%80%D0%B1%D0%BE%D0%BB%D1%8B%D0%BD-%D1%82%D1%8D%D0%B3%D1%88%D0%B8%D1%82%D0%B3%D1%8D%D0%BB%D0%B8%D0%B9%D0%B3-%D0%B1%D0%B8%D1%87%D1%8C%D0%B5-%D0%95%D1%80%D3%A9%D0%BD%D1%85%D0%B8%D0%B9-%D0%B7%D0%B0%D1%80%D1%87%D0%B8%D0%BC-%D0%BD%D1%8C-%D1%8D%D0%BB%D0%BB%D0%B8%D0%BF-%D1%81%D0%B8%D0%B9%D0%BD-%D1%82%D1%8D%D0%B3%D1%88%D0%B8%D1%82%D0%B3%D1%8D%D0%BB%D0%B8%D0%B9%D0%BD College Algebra. Equations of Hyperbolas]. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/04/06</ref>
+ᠾᠢᠫᠧᠡᠪᠣᠯ ‍ᠤᠨ ᠲᠡᠭᠰᠢᠳᠬᠡᠯ ‍ᠦᠨ ᠦᠨᠳᠦᠰᠦᠨ ᠬᠡᠯᠪᠡᠷᠢ <span style="writing-mode: horizontal-tb;">(0, 0)</span> ᠲᠥᠪ ᠲᠡᠢ ᠦᠶ ‍ᠡ᠋ ᠳ᠋ᠦ ᠳᠠᠷᠠᠭᠠᠬᠢ ᠪᠠᠢᠢᠳᠠᠯ ‍ᠢᠢᠠᠷ ᠪᠢᠴᠢᠭᠳᠡᠨ᠎ ‍ᠡ᠋᠄ <ref>[https://www.coursehero.com/file/p4r84m4e/%D0%93%D0%B8%D0%BF%D0%B5%D1%80%D0%B1%D0%BE%D0%BB%D1%8B%D0%BD-%D1%82%D1%8D%D0%B3%D1%88%D0%B8%D1%82%D0%B3%D1%8D%D0%BB%D0%B8%D0%B9%D0%B3-%D0%B1%D0%B8%D1%87%D1%8C%D0%B5-%D0%95%D1%80%D3%A9%D0%BD%D1%85%D0%B8%D0%B9-%D0%B7%D0%B0%D1%80%D1%87%D0%B8%D0%BC-%D0%BD%D1%8C-%D1%8D%D0%BB%D0%BB%D0%B8%D0%BF-%D1%81%D0%B8%D0%B9%D0%BD-%D1%82%D1%8D%D0%B3%D1%88%D0%B8%D1%82%D0%B3%D1%8D%D0%BB%D0%B8%D0%B9%D0%BD College Algebra. Equations of Hyperbolas]. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/04/06</ref>
 <br><br>
 <span style="writing-mode: horizontal-tb;">
@@ 43-р мөр: / 48-р мөр: @@
 <math>\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1</math>
 <br><br>
-<span style="max-height:50vh; writing-mode: vertical-lr; font-family: 'Noto Sans Mongolian'">ᠡᠭᠦᠨ ᠳ᠋ᠦ᠄  <br><span style="writing-mode: horizontal-tb;">a</span> ᠨᠢ ᠪᠣᠳᠠᠲᠤ ᠬᠠᠭᠠᠰ ᠲᠡᠩᠬᠡᠯᠢᠭ <br><span style="writing-mode: horizontal-tb;">b</span> ᠨᠢ ᠬᠠᠭᠤᠷᠮᠠᠭ ᠬᠠᠭᠠᠰ ᠲᠡᠩᠬᠡᠯᠢᠭ<ref>[https://www.coursehero.com/file/p4r84m4e/%D0%93%D0%B8%D0%BF%D0%B5%D1%80%D0%B1%D0%BE%D0%BB%D1%8B%D0%BD-%D1%82%D1%8D%D0%B3%D1%88%D0%B8%D1%82%D0%B3%D1%8D%D0%BB%D0%B8%D0%B9%D0%B3-%D0%B1%D0%B8%D1%87%D1%8C%D0%B5-%D0%95%D1%80%D3%A9%D0%BD%D1%85%D0%B8%D0%B9-%D0%B7%D0%B0%D1%80%D1%87%D0%B8%D0%BC-%D0%BD%D1%8C-%D1%8D%D0%BB%D0%BB%D0%B8%D0%BF-%D1%81%D0%B8%D0%B9%D0%BD-%D1%82%D1%8D%D0%B3%D1%88%D0%B8%D1%82%D0%B3%D1%8D%D0%BB%D0%B8%D0%B9%D0%BD ᠾᠢᠫᠧᠷᠪᠣᠯ ‍ᠤᠨ ᠲᠡᠭᠰᠢᠳᠬᠡᠯ᠃] ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/04/06</ref>
+<span style="max-height:50vh; writing-mode: vertical-lr; font-family: 'Noto Sans Mongolian'">ᠡᠭᠦᠨ ᠳ᠋ᠦ᠄  <br><span style="writing-mode: horizontal-tb;">a</span> ᠨᠢ ᠪᠣᠳᠠᠲᠤ ᠬᠠᠭᠠᠰ ᠲᠡᠩᠬᠡᠯᠢᠭ <br><span style="writing-mode: horizontal-tb;">b</span> ᠨᠢ ᠬᠠᠭᠤᠷᠮᠠᠭ (ᠬᠣᠣᠰᠮᠠᠭ</span></span><ref>ᠡ᠊᠂ ᠸᠠᠩᠳᠤᠢ᠃ ᠣᠷᠤᠰ-ᠮᠣᠩᠭᠤᠯ ᠨᠡᠷ ‍ᠡ᠋ ᠮᠣᠮᠢᠶᠠᠨ ‍ᠤ ᠲᠣᠯᠢ᠃ ᠪᠦ᠊᠂ ᠨᠠ᠊᠂ ᠮᠣ᠊᠂ ᠠ᠊᠂ ᠤ᠊᠂ ‍ᠤᠨ ᠰᠢᠨᠵᠢᠯᠡᠬᠦ ᠤᠬᠠᠭᠠᠨ ‍ᠤ ᠠᠻᠠᠳᠧᠮᠢ᠃ ᠬᠡᠯᠡ ᠵᠣᠬᠢᠶᠠᠯ ‍ᠤᠨ ᠬᠦᠷᠢᠶᠡᠯᠡᠩ᠃ ᠤᠯᠤᠰ ‍ᠤᠨ ᠬᠡᠪᠯᠡᠯ ‍ᠦᠨ ᠬᠡᠷᠡᠭ ᠡᠷᠬᠢᠯᠡᠬᠦ ᠬᠣᠷᠢᠶ ‍ᠠ᠋᠃ ᠤᠯᠠᠭᠠᠨᠪᠠᠭᠠᠲᠤᠷ 1964᠃</ref><span style="writing-mode: horizontal-tb;"><span style="max-height:50vh; writing-mode: vertical-lr; font-family: 'Noto Sans Mongolian'">) ᠬᠠᠭᠠᠰ ᠲᠡᠩᠬᠡᠯᠢᠭ<ref>[https://www.coursehero.com/file/p4r84m4e/%D0%93%D0%B8%D0%BF%D0%B5%D1%80%D0%B1%D0%BE%D0%BB%D1%8B%D0%BD-%D1%82%D1%8D%D0%B3%D1%88%D0%B8%D1%82%D0%B3%D1%8D%D0%BB%D0%B8%D0%B9%D0%B3-%D0%B1%D0%B8%D1%87%D1%8C%D0%B5-%D0%95%D1%80%D3%A9%D0%BD%D1%85%D0%B8%D0%B9-%D0%B7%D0%B0%D1%80%D1%87%D0%B8%D0%BC-%D0%BD%D1%8C-%D1%8D%D0%BB%D0%BB%D0%B8%D0%BF-%D1%81%D0%B8%D0%B9%D0%BD-%D1%82%D1%8D%D0%B3%D1%88%D0%B8%D1%82%D0%B3%D1%8D%D0%BB%D0%B8%D0%B9%D0%BD ᠾᠢᠫᠧᠷᠪᠣᠯ ‍ᠤᠨ ᠲᠡᠭᠰᠢᠳᠬᠡᠯ᠃] ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/04/06</ref>
 </span></span>
-<br><br>
-==ᠪᠠᠰᠠ ᠨᠢᠭᠡᠨ ᠭᠠᠷᠴᠠᠭ==
-ᠲᠠᠨ ‍ᠤ ᠪᠢᠴᠢᠪᠦᠷᠢ
 <br><br>
+{| class="wikitable"
+|[[File:Hyperbel-tad-s.svg|thumb|center]]
+|style = "height: 75px;"|<span style="writing-mode: horizontal-tb;">a</span> ᠨᠢ ᠪᠣᠳᠠᠲᠤ ᠬᠠᠭᠠᠰ ᠲᠡᠩᠬᠡᠯᠢᠭ᠂ <br><span style="writing-mode: horizontal-tb;">b</span> ᠨᠢ ᠬᠠᠭᠤᠷᠮᠠᠭ<span style="writing-mode: horizontal-tb;"> <span style="max-height:50vh; writing-mode: vertical-lr; font-family: 'Noto Sans Mongolian'">(ᠬᠣᠣᠰᠮᠠᠭ)</span></span> ᠬᠠᠭᠠᠰ ᠲᠡᠩᠬᠡᠯᠢᠭ ‍ᠢᠢᠨ ᠤᠷᠲᠤ ᠲᠠᠢ ᠲᠠᠩᠴᠡᠨ᠎ ‍ᠠ᠋
+|}
+<br>
+==ᠨᠨᠷ ‍ᠡ᠋ ᠲᠣᠮᠢᠶᠠᠯᠠᠯ==
+ᠾᠢᠫᠧᠷᠪᠣᠯ - hyperbola - гипербола
+ᠴᠡᠭ - point - точка
+ᠣᠯᠠᠨᠯᠢᠭ - set - множество
+ᠮᠤᠷᠤᠢ - curve - кривая
+ᠲᠡᠭᠰᠢᠳᠬᠡᠯ - equation - уравнение
+ᠲᠡᠩᠴᠡᠳᠬᠡᠯ ᠪᠢᠰᠢ - inequality - неравенство
+ᠲᠣᠮᠢᠶ ‍ᠠ᠋ - formula - формула
+ᠹᠦᠨ᠍ᠻᠼᠢ - function - функция
+ᠪᠣᠳᠠᠲᠤ ᠲᠡᠩᠬᠡᠯᠢᠭ - real axis - действительная ось
+ᠬᠠᠭᠤᠷᠮᠠᠭ ᠲᠡᠩᠬᠡᠯᠢᠭ - imaginary axis - мнимая ось
+ᠬᠣᠣᠰᠮᠠᠭ ᠲᠡᠩᠬᠡᠯᠢᠭ - conjugate axis - сопряжённая ось
+<br><br>
+==ᠤᠶᠠᠯᠳᠤᠭ᠎ ‍ᠠ᠋ ᠲᠠᠢ ᠨᠡᠢᠢᠲᠡᠯᠡᠯ==
+[[ᠫᠠᠷᠠᠪᠣᠯ]]<br>
+<br>
 ==ᠡᠬᠢ ᠰᠤᠷᠪᠤᠯᠵᠢ==
 <span style="writing-mode: horizontal-tb;"><references />