ᠫᠠᠷᠠᠪᠣᠯ: Засвар хоорондын ялгаа

(5 завсрын хувилбар ижил хэрэглэгч харагдахгүй байна)

1-р мөр:

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

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

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=ᠫᠠᠷᠠᠪᠣᠯ=

{| class="wikitable~~" style="float:left;~~ "

{| class="wikitable"

|[[File:Parabola animada.gif|thumb|center]]

|style = "height: 50px;"|ᠲᠥᠪ ᠴᠡᠭ ᠪᠠ ᠲᠤᠬᠠᠢ ‍ᠢᠢᠨ ~~ᠰᠢᠯᠠᠭᠤᠨ~~ ᠡᠴᠡ ~~ᠠᠳᠢᠯ~~ ᠵᠠᠢ ᠳ᠋ᠤ ᠪᠠᠢᠢᠷᠢᠯᠠᠬᠤ ᠴᠡᠭ ‍ᠦᠳ ‍ᠦᠨ ᠣᠯᠠᠨᠯᠢᠭ ‍ᠢ ᠫᠠᠷᠠᠪᠣᠯ ᠭᠡᠨ᠎ ‍ᠡ᠋ ᠃

|style = "height: 50px;"|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 ᠰᠢᠯᠠᠭᠤᠨ ᠡᠴᠡ ᠠᠳᠢᠯ ᠵᠠᠢ ᠳ᠋ᠤ ᠪᠠᠢᠢᠷᠢᠯᠠᠬᠤ ᠴᠡᠭ ‍ᠦᠳ ‍ᠦᠨ ᠣᠯᠠᠨᠯᠢᠭ ‍ᠢ ᠫᠠᠷᠠᠪᠣᠯparabola ᠬᠡᠮᠡᠮᠦᠢ᠃

ᠥᠭᠡᠷ ‍ᠡ᠋ ‍ᠪᠡᠷ ᠬᠡᠯᠡᠪᠡᠯ ᠫᠠᠷᠠᠪᠣᠯ ᠠᠨᠤ ᠲᠥᠪ ᠴᠡᠭ ᠪᠤᠶᠤ ᠹᠣᠻᠦ᠋ᠰfocus ᠴᠡᠭ ᠪᠠ ᠳᠢᠷᠧᠻᠲᠢᠰdirectrix ᠰᠢᠯᠠᠭᠤᠨ ᠡᠴᠡ ᠪᠠᠨ ᠠᠳᠢᠯ ᠵᠠᠢ ᠳ᠋ᠤ ᠠᠯᠤᠰᠯᠠᠭᠳᠠᠭᠰᠠᠨ ᠴᠡᠭ ‍ᠦᠨ ᠣᠯᠠᠨᠯᠢᠭ ᠪᠣᠯᠬᠤ ᠬᠠᠪᠲᠠᠭᠠᠢ ᠮᠤᠷᠤᠢ ᠰᠢᠭᠤᠮ ᠶᠤᠮ᠃<ref>[https://www.intmath.com/plane-analytic-geometry/4-parabola.php Interactive Mathematics. The Parabola]. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/04/10</ref>

ᠲᠡᠭᠦᠨᠴᠢᠯᠡᠨ ᠫᠠᠷᠠᠪᠣᠯ ᠨᠢ ᠳᠤᠭᠤᠢ ᠻᠣᠨᠦ᠋ᠰ ‍ᠤᠨ ᠭᠠᠷᠠᠷᠭᠤ ᠪᠠ ᠬᠠᠪᠲᠠᠭᠠᠢ ‍ᠢᠢᠨ ᠣᠭᠲᠤᠯᠤᠯᠴᠠᠯ ᠶᠤᠮ᠃<ref>[https://www.varsitytutors.com/hotmath/hotmath_help/topics/parabolas Versity Tutors. Hotmath. Parabolas]. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/04/10</ref>

ᠲᠣᠭᠤᠷᠢᠭ᠂ ~~ᠧᠯᠯᠢᠫᠰ᠂ ᠾᠢᠫᠧᠷᠪᠣᠯ᠂~~ ᠫᠠᠷᠠᠪᠣᠯ - ᠡᠳᠡᠭᠡᠷ ᠨᠢ ᠻᠣᠨᠦ᠋ᠰ ‍ᠤᠨ ᠣᠭᠲᠤᠯᠤᠯ ᠪᠠᠢᠢᠳᠠᠭ᠃ <ref>[https://www.mathsisfun.com/geometry/conic-sections.html Math is Fun. Conic Sections]. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/04/10</ref>

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

ᠥᠭᠡᠷ ‍ᠡ᠋ ‍ᠪᠡᠷ ᠬᠡᠯᠡᠪᠡᠯ ᠫᠠᠷᠠᠪᠣᠯ ᠠᠨᠤ ᠲᠥᠪ ᠴᠡᠭ ᠪᠤᠶᠤ ᠹᠣᠻᠦ᠋ᠰfocus ᠴᠡᠭ ᠪᠠ ᠳᠢᠷᠧᠻᠲ᠋ᠷᠢᠰdirectrix ᠰᠢᠯᠤᠭᠤᠨ ᠡᠴᠡ ᠪᠠᠨ ᠠᠳᠠᠯᠢ ᠵᠠᠢ ᠳ᠋ᠤ ᠠᠯᠤᠰᠯᠠᠭᠳᠠᠭᠰᠠᠨ ᠴᠡᠭ ‍ᠦᠨ ᠣᠯᠠᠨᠯᠢᠭ ᠪᠣᠯᠬᠤ ᠬᠠᠪᠲᠠᠭᠠᠢ ᠮᠤᠷᠤᠢ ᠱᠤᠭᠤᠮ ᠶᠤᠮ᠃<ref>[https://www.intmath.com/plane-analytic-geometry/4-parabola.php Interactive Mathematics. The Parabola]. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/04/10</ref>

ᠲᠡᠭᠦᠨᠴᠢᠯᠡᠨ ᠫᠠᠷᠠᠪᠣᠯ ᠨᠢ ᠳᠤᠭᠤᠢ ᠻᠣᠨᠦ᠋ᠰ ‍ᠤᠨконус ᠭᠠᠳᠠᠷᠭᠤ ᠪᠠ ᠬᠠᠪᠲᠠᠭᠠᠢ ‍ᠢᠢᠨ ᠣᠭᠲᠤᠯᠤᠯᠴᠠᠯ ᠶᠤᠮ᠃<ref name=":0">[https://www.varsitytutors.com/hotmath/hotmath_help/topics/parabolas Varsity Tutors. Hotmath. Parabolas]. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/04/10</ref>

ᠲᠣᠭᠤᠷᠢᠭ᠂ ᠧᠯᠯᠢᠫᠰellipse᠂ [[ᠾᠢᠫᠧᠷᠪᠣᠯ]]hyperbola᠂ ᠫᠠᠷᠠᠪᠣᠯ - ᠡᠳᠡᠭᠡᠷ ᠨᠢ ᠻᠣᠨᠦ᠋ᠰ ‍ᠤᠨ ᠣᠭᠲᠤᠯᠤᠯ ᠪᠠᠢᠢᠳᠠᠭ᠃ <ref>[https://www.mathsisfun.com/geometry/conic-sections.html Math is Fun. Conic Sections]. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/04/10</ref>

ᠫᠠᠷᠠᠪᠣᠯ ᠲᠣᠯᠢᠨ ᠲᠡᠭᠰᠢ ᠬᠡᠮᠲᠦ ᠳᠦᠷᠰᠦ ᠲᠡᠢ ᠮᠤᠷᠤᠢ ᠪᠢᠯᠡ᠃

==~~ᠨᠢᠭᠡᠨ ᠭᠠᠷᠴᠠᠭ~~==

==ᠲᠡᠭᠰᠢᠳᠬᠡᠯ==

~~{| class~~="~~wikitable~~" style="~~float~~:~~left~~; "

|[[File:~~Parts of Parabola~~.~~svg~~|thumb|center]]

ᠻᠸᠠᠲᠷᠠᠲquadratic ᠲᠡᠭᠰᠢᠳᠬᠡᠯ ‍ᠦᠨ ᠭᠷᠠᠫᠾᠢᠻgraphic ᠨᠢ ᠨᠤᠮᠤ ᠬᠡᠯᠪᠡᠷᠢ ᠲᠡᠢ ᠫᠠᠷᠠᠪᠣᠯ ᠪᠠᠢᠢᠳᠠᠭ᠃<ref name=":0" />

|style = "height: ~~50px~~;"|~~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 ᠲᠡᠭᠰᠢᠳᠬᠡᠯ ᠨᠢ ᠳᠠᠷᠠᠭᠠᠬᠢ ᠪᠠᠢᠢᠳᠠᠯ ‍ᠢᠢᠠᠷ ᠪᠢᠴᠢᠭᠳᠡᠳᠡᠭ᠄

ᠡᠭᠦᠨ ᠳ᠋ᠦ᠄

<math>a, b, c \in \R,\ a \ne 0</math> ᠪᠤᠶᠤ a, b, c ᠨᠢ ᠪᠣᠳᠠᠲᠤ ᠲᠣᠭ᠎ ‍ᠠ᠋ ᠪᠠᠢᠢᠨ᠎ ‍ᠠ᠋᠃

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

{| class="wikitable"

|[[File:Axis_of_symmetry_of_a_parabola.gif|thumb|center]]

|style = "height: 100px;"|b ‍ᠢᠢᠨ ᠤᠳᠬ ‍ᠠ᠋

|}

~~ᠲᠠᠨ ‍ᠤ ᠪᠢᠴᠢᠪᠦᠷᠢ~~

==~~ᠪᠠᠰᠠ ᠨᠢᠭᠡᠨ ᠭᠠᠷᠴᠠᠭ=~~=

ᠬᠡᠯᠪᠡᠷᠢ ‍ᠢᠢᠨ ᠹᠦᠨ᠍ᠻᠼᠢ ‍ᠢᠢᠨfunction ᠭᠷᠠᠫᠾᠢᠻ ᠴᠤ ᠫᠠᠷᠠᠪᠣᠯ ᠪᠠᠢᠢᠬᠤ ᠠᠭᠠᠳ ᠡᠨᠡ ᠨᠢ <math>a = 1</math> ᠪᠥᠭᠡᠳ <math>b = c = 0</math> ᠪᠠᠢᠢᠬᠤ ᠦᠶ ‍ᠡ᠋ ‍ᠢᠢᠨ ᠲᠣᠬᠢᠶᠠᠯᠳᠠ ᠶᠤᠮ᠃

~~ᠲᠠᠨ ‍ᠤ ᠪᠢᠴᠢᠪᠦᠷᠢ~~

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

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

{| class="wikitable"

|[[File:Parts of a Parabola.JPG|thumb|center]]

|style = "height: 100px;"|<math>p</math> 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==

<~~div~~ style="writing-mode: horizontal-tb; "></~~reference~~>

@@ 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>
 =ᠫᠠᠷᠠᠪᠣᠯ=
-{| class="wikitable" style="float:left; "
+<br>
+{| class="wikitable"
 |[[File:Parabola animada.gif|thumb|center]]
-|style = "height: 50px;"|ᠲᠥᠪ ᠴᠡᠭ ᠪᠠ ᠲᠤᠬᠠᠢ ‍ᠢᠢᠨ ᠰᠢᠯᠠᠭᠤᠨ ᠡᠴᠡ ᠠᠳᠢᠯ ᠵᠠᠢ ᠳ᠋ᠤ ᠪᠠᠢᠢᠷᠢᠯᠠᠬᠤ ᠴᠡᠭ ‍ᠦᠳ ‍ᠦᠨ ᠣᠯᠠᠨᠯᠢᠭ ‍ᠢ ᠫᠠᠷᠠᠪᠣᠯ ᠭᠡᠨ᠎ ‍ᠡ᠋ ᠃
+|style = "height: 50px;"|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 ᠰᠢᠯᠠᠭᠤᠨ ᠡᠴᠡ ᠠᠳᠢᠯ ᠵᠠᠢ ᠳ᠋ᠤ ᠪᠠᠢᠢᠷᠢᠯᠠᠬᠤ ᠴᠡᠭ ‍ᠦᠳ ‍ᠦᠨ ᠣᠯᠠᠨᠯᠢᠭ ‍ᠢ <b>ᠫᠠᠷᠠᠪᠣᠯ</b><sup>parabola</sup> ᠬᠡᠮᠡᠮᠦᠢ᠃
-ᠥᠭᠡᠷ ‍ᠡ᠋ ‍ᠪᠡᠷ ᠬᠡᠯᠡᠪᠡᠯ ᠫᠠᠷᠠᠪᠣᠯ ᠠᠨᠤ ᠲᠥᠪ ᠴᠡᠭ ᠪᠤᠶᠤ ᠹᠣᠻᠦ᠋ᠰ<sup>focus</sup> ᠴᠡᠭ ᠪᠠ ᠳᠢᠷᠧᠻᠲᠢᠰ<sup>directrix</sup> ᠰᠢᠯᠠᠭᠤᠨ ᠡᠴᠡ ᠪᠠᠨ ᠠᠳᠢᠯ ᠵᠠᠢ ᠳ᠋ᠤ ᠠᠯᠤᠰᠯᠠᠭᠳᠠᠭᠰᠠᠨ ᠴᠡᠭ ‍ᠦᠨ ᠣᠯᠠᠨᠯᠢᠭ ᠪᠣᠯᠬᠤ ᠬᠠᠪᠲᠠᠭᠠᠢ ᠮᠤᠷᠤᠢ ᠰᠢᠭᠤᠮ ᠶᠤᠮ᠃<ref>[https://www.intmath.com/plane-analytic-geometry/4-parabola.php Interactive Mathematics. The Parabola]. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/04/10</ref>
-ᠲᠡᠭᠦᠨᠴᠢᠯᠡᠨ ᠫᠠᠷᠠᠪᠣᠯ ᠨᠢ ᠳᠤᠭᠤᠢ ᠻᠣᠨᠦ᠋ᠰ ‍ᠤᠨ ᠭᠠᠷᠠᠷᠭᠤ ᠪᠠ ᠬᠠᠪᠲᠠᠭᠠᠢ ‍ᠢᠢᠨ ᠣᠭᠲᠤᠯᠤᠯᠴᠠᠯ ᠶᠤᠮ᠃<ref>[https://www.varsitytutors.com/hotmath/hotmath_help/topics/parabolas Versity Tutors. Hotmath. Parabolas]. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/04/10</ref>
-ᠲᠣᠭᠤᠷᠢᠭ᠂ ᠧᠯᠯᠢᠫᠰ᠂ ᠾᠢᠫᠧᠷᠪᠣᠯ᠂ ᠫᠠᠷᠠᠪᠣᠯ - ᠡᠳᠡᠭᠡᠷ ᠨᠢ ᠻᠣᠨᠦ᠋ᠰ ‍ᠤᠨ ᠣᠭᠲᠤᠯᠤᠯ ᠪᠠᠢᠢᠳᠠᠭ᠃ <ref>[https://www.mathsisfun.com/geometry/conic-sections.html Math is Fun. Conic Sections]. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/04/10</ref>
+ᠲᠤᠬᠠᠢ ‍ᠢᠢᠨ ᠴᠡᠭ ᠪᠠ ᠲᠤᠬᠠᠢ ‍ᠢᠢᠨ ᠰᠢᠯᠤᠭᠤᠨ ᠡᠴᠡ ᠠᠳᠠᠯᠢ ᠵᠠᠢ ᠳ᠋ᠤ ᠪᠠᠢᠢᠷᠢᠯᠠᠬᠤ ᠴᠡᠭ ‍ᠦᠳ ‍ᠦᠨ ᠣᠯᠠᠨᠯᠢᠭ ‍ᠢ <b>ᠫᠠᠷᠠᠪᠣᠯ</b><sup>parabola</sup> ᠬᠡᠮᠡᠮᠦᠢ᠃
+ᠥᠭᠡᠷ ‍ᠡ᠋ ‍ᠪᠡᠷ ᠬᠡᠯᠡᠪᠡᠯ ᠫᠠᠷᠠᠪᠣᠯ ᠠᠨᠤ ᠲᠥᠪ ᠴᠡᠭ ᠪᠤᠶᠤ ᠹᠣᠻᠦ᠋ᠰ<sup>focus</sup> ᠴᠡᠭ ᠪᠠ ᠳᠢᠷᠧᠻᠲ᠋ᠷᠢᠰ<sup>directrix</sup> ᠰᠢᠯᠤᠭᠤᠨ ᠡᠴᠡ ᠪᠠᠨ ᠠᠳᠠᠯᠢ ᠵᠠᠢ ᠳ᠋ᠤ ᠠᠯᠤᠰᠯᠠᠭᠳᠠᠭᠰᠠᠨ ᠴᠡᠭ ‍ᠦᠨ ᠣᠯᠠᠨᠯᠢᠭ ᠪᠣᠯᠬᠤ ᠬᠠᠪᠲᠠᠭᠠᠢ ᠮᠤᠷᠤᠢ ᠱᠤᠭᠤᠮ ᠶᠤᠮ᠃<ref>[https://www.intmath.com/plane-analytic-geometry/4-parabola.php Interactive Mathematics. The Parabola]. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/04/10</ref>
+ᠲᠡᠭᠦᠨᠴᠢᠯᠡᠨ ᠫᠠᠷᠠᠪᠣᠯ ᠨᠢ ᠳᠤᠭᠤᠢ ᠻᠣᠨᠦ᠋ᠰ ‍ᠤᠨ<sup>конус</sup> ᠭᠠᠳᠠᠷᠭᠤ ᠪᠠ ᠬᠠᠪᠲᠠᠭᠠᠢ ‍ᠢᠢᠨ ᠣᠭᠲᠤᠯᠤᠯᠴᠠᠯ ᠶᠤᠮ᠃<ref name=":0">[https://www.varsitytutors.com/hotmath/hotmath_help/topics/parabolas Varsity Tutors. Hotmath. Parabolas]. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/04/10</ref>
+ᠲᠣᠭᠤᠷᠢᠭ᠂ ᠧᠯᠯᠢᠫᠰ<sup>ellipse</sup>᠂ [[ᠾᠢᠫᠧᠷᠪᠣᠯ]]<sup>hyperbola</sup>᠂ ᠫᠠᠷᠠᠪᠣᠯ - ᠡᠳᠡᠭᠡᠷ ᠨᠢ ᠻᠣᠨᠦ᠋ᠰ ‍ᠤᠨ ᠣᠭᠲᠤᠯᠤᠯ ᠪᠠᠢᠢᠳᠠᠭ᠃ <ref>[https://www.mathsisfun.com/geometry/conic-sections.html Math is Fun. Conic Sections]. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/04/10</ref>
+ᠫᠠᠷᠠᠪᠣᠯ ᠲᠣᠯᠢᠨ  ᠲᠡᠭᠰᠢ ᠬᠡᠮᠲᠦ ᠳᠦᠷᠰᠦ ᠲᠡᠢ ᠮᠤᠷᠤᠢ ᠪᠢᠯᠡ᠃
 <br><br>
-==ᠨᠢᠭᠡᠨ ᠭᠠᠷᠴᠠᠭ==
+==ᠲᠡᠭᠰᠢᠳᠬᠡᠯ==
-{| class="wikitable" style="float:left; "
-|[[File:Parts of Parabola.svg|thumb|center]]
+ᠻᠸᠠᠲᠷᠠᠲ<sup>quadratic</sup> ᠲᠡᠭᠰᠢᠳᠬᠡᠯ ‍ᠦᠨ ᠭᠷᠠᠫᠾᠢᠻ<sup>graphic</sup> ᠨᠢ ᠨᠤᠮᠤ ᠬᠡᠯᠪᠡᠷᠢ ᠲᠡᠢ ᠫᠠᠷᠠᠪᠣᠯ ᠪᠠᠢᠢᠳᠠᠭ᠃<ref name=":0" />
-|style = "height: 50px;"|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 ᠲᠡᠭᠰᠢᠳᠬᠡᠯ ᠨᠢ ᠳᠠᠷᠠᠭᠠᠬᠢ ᠪᠠᠢᠢᠳᠠᠯ ‍ᠢᠢᠠᠷ ᠪᠢᠴᠢᠭᠳᠡᠳᠡᠭ᠄
+<br><br>
+<span style="writing-mode: horizontal-tb;">
+<br><br>
+<math>y=ax^2+bx+c</math>
+<br><br>
+<span style="max-height:50vh; writing-mode: vertical-lr; font-family: 'Noto Sans Mongolian'">
+ᠡᠭᠦᠨ ᠳ᠋ᠦ᠄
+<math>a, b, c \in \R,\ a \ne 0</math> ᠪᠤᠶᠤ <span style="writing-mode: horizontal-tb;">a, b, c</span>  ᠨᠢ ᠪᠣᠳᠠᠲᠤ ᠲᠣᠭ᠎ ‍ᠠ᠋ ᠪᠠᠢᠢᠨ᠎ ‍ᠠ᠋᠃
+</span>
+</span>
+<br><br>
+ᠮᠥᠨ <span style="writing-mode: horizontal-tb;">a</span>  ᠨᠢ <span style="writing-mode: horizontal-tb;">0</span>  ᠪᠤᠰᠤ ᠤᠳᠬ ‍ᠠ᠋ ᠲᠠᠢ ᠪᠠᠢᠢᠨ᠎ ‍ᠠ᠋᠃
+<br><br>
+{| class="wikitable"
+|[[File:Axis_of_symmetry_of_a_parabola.gif|thumb|center]]
+|style = "height: 100px;"|<span style="writing-mode: horizontal-tb;">b</span>  ‍ᠢᠢᠨ ᠤᠳᠬ ‍ᠠ᠋
 |}
-ᠲᠠᠨ ‍ᠤ ᠪᠢᠴᠢᠪᠦᠷᠢ
-<br><br>
+<math>y=x^2</math>
-==ᠪᠠᠰᠠ ᠨᠢᠭᠡᠨ ᠭᠠᠷᠴᠠᠭ==
+ᠬᠡᠯᠪᠡᠷᠢ ‍ᠢᠢᠨ ᠹᠦᠨ᠍ᠻᠼᠢ ‍ᠢᠢᠨ<sup>function</sup> ᠭᠷᠠᠫᠾᠢᠻ ᠴᠤ ᠫᠠᠷᠠᠪᠣᠯ ᠪᠠᠢᠢᠬᠤ ᠠᠭᠠᠳ ᠡᠨᠡ ᠨᠢ <math>a = 1</math> ᠪᠥᠭᠡᠳ <math>b = c = 0</math> ᠪᠠᠢᠢᠬᠤ ᠦᠶ ‍ᠡ᠋ ‍ᠢᠢᠨ ᠲᠣᠬᠢᠶᠠᠯᠳᠠ ᠶᠤᠮ᠃
-ᠲᠠᠨ ‍ᠤ ᠪᠢᠴᠢᠪᠦᠷᠢ
+ᠫᠠᠷᠠᠪᠣᠯ ‍ᠤᠨ ᠲᠡᠭᠰᠢᠳᠬᠡᠯ ‍ᠦᠨ ᠰᠣᠩᠭᠤᠳᠠᠭ ᠬᠡᠯᠪᠡᠷᠢ ᠨᠢ ᠳᠠᠷᠠᠭᠠᠬᠢ ᠪᠠᠢᠢᠳᠠᠯ ‍ᠢᠢᠠᠷ ᠪᠢᠴᠢᠭᠳᠡᠳᠡᠭ᠄
 <br><br>
+<math>y^2=2px</math> ᠡᠭᠦᠨ ᠳ᠋ᠦ᠄  <math>p > 0</math> ᠪᠠᠢᠢᠬᠤ ᠠᠭᠠᠳ ᠹᠣᠻᠦ᠋ᠰ ᠪᠠ ᠳ᠋ᠢᠷᠧᠻᠲ᠋ᠷᠢᠰ ‍ᠦᠨ ᠬᠣᠭᠤᠷᠤᠨᠳᠤᠬᠢ ᠵᠠᠢ ᠲᠠᠢ ᠲᠡᠩᠴᠡᠨ᠎ ‍ᠡ᠋᠃
+<br>
+<br>
+{| class="wikitable"
+|[[File:Parts of a Parabola.JPG|thumb|center]]
+|style = "height: 100px;"|<math>p</math> 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]]<br><br>
 ==ᠡᠬᠢ ᠰᠤᠷᠪᠤᠯᠵᠢ==
-<div style="writing-mode: horizontal-tb; "></reference>
+<span style="writing-mode: horizontal-tb; "><references/>