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(13 дундын хувилбарууд 2 хэрэглэгчид харагдахгүй)
1-р мөр: 1-р мөр:
<div style="max-height: 80vh; writing-mode: vertical-lr; font-family: 'Noto Sans Mongolian'">
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<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>
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__TOC__
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=ᠾᠢᠫᠧᠷᠪᠣᠯ=
=ᠾᠢᠫᠧᠷᠪᠣᠯ=
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5-р мөр: 11-р мөр:
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|[[File:Equidistant-set-of-two-circles-hyperbola.gif|alight: top|thumb|left]]
|[[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
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ᠾᠢᠫᠧᠷᠪᠣᠯ<sup>hyperbola</sup> ᠭᠡᠵᠦ ᠬᠣᠭᠤᠷᠤᠨᠳᠤ ᠪᠠᠨ ᠦᠯᠦ ᠣᠭᠲᠤᠯᠤᠯᠴᠠᠬᠤ ᠬᠣᠶᠠᠷ ᠮᠤᠷᠤᠢ ‍ᠢᠢ ᠬᠡᠯᠡᠳᠡᠭ᠃  
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᠃  
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᠃  
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16-р мөр: 21-р мөр:
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|[[File:HyperbolaCentralEquation.png|alight: top|thumb|left]]
|[[File:HyperbolaCentralEquation.png|alight: top|thumb|left]]
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|style = "height: 100px;"|<span style="writing-mode: horizontal-tb;">F<sub>1</sub>, F<sub>2</sub></span> ᠨᠢ ᠾᠢᠫᠧᠷᠪᠣᠯ ‍ᠤᠨ ᠹᠣᠻᠦᠰ
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==ᠲᠡᠭᠰᠢᠳᠬᠡᠯ==
==ᠲᠡᠭᠰᠢᠳᠬᠡᠯ==
ᠾᠢᠫᠧᠷᠳᠣᠯ ‍ᠤᠨ ᠲᠣᠮᠢᠶ ‍ᠠ᠋᠄  
ᠾᠢᠫᠧᠷᠪᠣᠯ ‍ᠤᠨ ᠲᠣᠮᠢᠶ ‍ᠠ᠋᠄  
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<math>y = k/x</math>
<math>y = \frac{k}{x}</math>
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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>
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{| class="wikitable"
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|style = "height: 60px;"|<span style="writing-mode: horizontal-tb;">k</span> ᠨᠢ <br><span style="writing-mode: horizontal-tb;">0</span> ᠡᠴᠡ ᠶᠡᠬᠡ ᠤᠳᠬ ‍᠋ᠠ᠋ ᠲᠠᠢ ᠾᠢᠫᠧᠷᠪᠣᠯ
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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>
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==ᠪᠠᠰᠠ ᠨᠢᠭᠡᠨ ᠭᠠᠷᠴᠠᠭ==
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ᠲᠠᠨ ‍ᠤ ᠪᠢᠴᠢᠪᠦᠷᠢ
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<math>\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1</math>
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<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>
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{| 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
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==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
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==ᠤᠶᠠᠯᠳᠤᠭ᠎ ‍ᠠ᠋ ᠲᠠᠢ ᠨᠡᠢᠢᠲᠡᠯᠡᠯ==
[[ᠫᠠᠷᠠᠪᠣᠯ]]<br>
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==ᠡᠬᠢ ᠰᠤᠷᠪᠤᠯᠵᠢ==
==ᠡᠬᠢ ᠰᠤᠷᠪᠤᠯᠵᠢ==
<span style="writing-mode: horizontal-tb;"><references />
<span style="writing-mode: horizontal-tb;"><references />

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


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


ᠾᠢᠫᠧᠷᠪᠣᠯhyperbola 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 ᠹᠣᠻᠦ᠋ᠰfocus 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=kx

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᠃<ref>Глоссарий. Алгебра и геометрия. Гипербола. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/04/06</ref>

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᠄ <ref>College Algebra. Equations of Hyperbolas. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/04/06</ref>



x2a2−y2b2=1

ᠡᠭᠦᠨ ᠳ᠋ᠦ᠄
a ᠨᠢ ᠪᠣᠳᠠᠲᠤ ᠬᠠᠭᠠᠰ ᠲᠡᠩᠬᠡᠯᠢᠭ
b ᠨᠢ ᠬᠠᠭᠤᠷᠮᠠᠭ (ᠬᠣᠣᠰᠮᠠᠭ<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>) ᠬᠠᠭᠠᠰ ᠲᠡᠩᠬᠡᠯᠢᠭ<ref>ᠾᠢᠫᠧᠷᠪᠣᠯ ‍ᠤᠨ ᠲᠡᠭᠰᠢᠳᠬᠡᠯ᠃ ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/04/06</ref>

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

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

ᠫᠠᠷᠠᠪᠣᠯ

ᠡᠬᠢ ᠰᠤᠷᠪᠤᠯᠵᠢ

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