21:18, 7 Дөрөвдүгээр сар 2021-ий байдлаарх засвар

ᠾᠢᠫᠧᠷᠪᠣᠯ


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

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

ᠾᠢᠫᠧᠷᠪᠣᠯ - hyperbola - гипербола

ᠴᠡᠭ - point - точка

ᠣᠯᠠᠨᠯᠢᠭ - set - множество

ᠮᠤᠷᠤᠢ - curve - кривая

ᠲᠡᠭᠰᠢᠳᠬᠡᠯ - equation - уравнение

ᠲᠣᠮᠢᠶ ‍ᠠ᠋ - formula - формула

ᠲᠡᠩᠴᠡᠳᠬᠡᠯ ᠪᠢᠰᠢ - inequality - неравенство

ᠪᠣᠳᠠᠲᠤ ᠲᠡᠩᠬᠡᠯᠢᠭ - real axis - действительная ось

ᠬᠠᠭᠤᠷᠮᠠᠭ ᠲᠡᠩᠬᠡᠯᠢᠭ - imaginary axis - мнимая ось

ᠬᠣᠣᠰᠮᠠᠭ ᠲᠡᠩᠬᠡᠯᠢᠭ - conjugate axis - сопряжённая ось

ᠡᠬᠢ ᠰᠤᠷᠪᠤᠯᠵᠢ

↑ 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]

@@ 51-р мөр: / 51-р мөр: @@
 |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><br>
+<br>
 ==ᠨᠨᠷ ‍ᠡ᠋ ᠲᠣᠮᠢᠶᠠᠯᠠᠯ==
 ᠾᠢᠫᠧᠷᠪᠣᠯ - hyperbola - гипербола
@@ 65-р мөр: / 65-р мөр: @@
 ᠲᠣᠮᠢᠶ ‍ᠠ᠋ - formula - формула
-ᠲᠡᠩᠴᠡᠳᠬᠡᠯ ᠪᠢᠰᠢ - inequality - неравенство <br><span style="writing-mode: horizontal-tb;"><span style="max-height:50vh; writing-mode: vertical-lr; font-family: 'Noto Sans Mongolian'">ᠪᠣᠳᠠᠲᠤ ᠲᠡᠩᠬᠡᠯᠢᠭ - real axis - действительная ось</span></span>
+ᠲᠡᠩᠴᠡᠳᠬᠡᠯ ᠪᠢᠰᠢ - inequality - неравенство
-<span style="writing-mode: horizontal-tb;"><span style="max-height:50vh; writing-mode: vertical-lr; font-family: 'Noto Sans Mongolian'">ᠬᠠᠭᠤᠷᠮᠠᠭ ᠲᠡᠩᠬᠡᠯᠢᠭ - imaginary axis - мнимая ось</span></span><br><span style="writing-mode: horizontal-tb;"><span style="max-height:50vh; writing-mode: vertical-lr; font-family: 'Noto Sans Mongolian'">ᠬᠣᠣᠰᠮᠠᠭ ᠲᠡᠩᠬᠡᠯᠢᠭ - conjugate axis - сопряжённая ось</span></span>
+ᠪᠣᠳᠠᠲᠤ ᠲᠡᠩᠬᠡᠯᠢᠭ - real axis - действительная ось
+ᠬᠠᠭᠤᠷᠮᠠᠭ ᠲᠡᠩᠬᠡᠯᠢᠭ - imaginary axis - мнимая ось
+ᠬᠣᠣᠰᠮᠠᠭ ᠲᠡᠩᠬᠡᠯᠢᠭ - conjugate axis - сопряжённая ось
 <br><br>
 ==ᠡᠬᠢ ᠰᠤᠷᠪᠤᠯᠵᠢ==
 <span style="writing-mode: horizontal-tb;"><references />