"ᠾᠢᠫᠧᠷᠪᠣᠯ"-ны өөр хувилбарууд
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<div style="max-height: 80vh; writing-mode: vertical-lr; font-family: 'Noto Sans Mongolian'"> | <div style="max-height: 80vh; writing-mode: vertical-lr; font-family: 'Noto Sans Mongolian'"> | ||
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=ᠾᠢᠫᠧᠷᠪᠣᠯ= | =ᠾᠢᠫᠧᠷᠪᠣᠯ= | ||
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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 | |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 | 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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|[[File:HyperbolaCentralEquation.png|alight: top|thumb|left]] | |[[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 | ||
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==ᠲᠡᠭᠰᠢᠳᠬᠡᠯ== | ==ᠲᠡᠭᠰᠢᠳᠬᠡᠯ== | ||
ᠾᠢᠫᠧᠷᠪᠣᠯ ᠤᠨ ᠲᠣᠮᠢᠶ ᠠ᠋᠄ | |||
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<span style="max-height:50vh; writing-mode: vertical-lr; font-family: 'Noto Sans Mongolian'"> | <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 | 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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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> | ||
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<math>\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1</math> | <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 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> | ||
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|[[File:Hyperbel-tad-s.svg|thumb|center]] | |[[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 ᠬᠠᠭᠠᠰ ᠲᠡᠩᠬᠡᠯᠢᠭ ᠢᠢᠨ ᠤᠷᠲᠤ ᠲᠠᠢ ᠲᠠᠩᠴᠡᠨ ᠠ᠋ | |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 | |||
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> | |||
<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> | |||
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==ᠡᠬᠢ ᠰᠤᠷᠪᠤᠯᠵᠢ== | ==ᠡᠬᠢ ᠰᠤᠷᠪᠤᠯᠵᠢ== | ||
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