"ᠫᠠᠷᠠᠪᠣᠯ"-ны өөр хувилбарууд

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10-р мөр: 10-р мөр:
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|[[File:Parabola animada.gif|thumb|center]]
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|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 ᠃
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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>  
ᠲᠤᠬᠠᠢ ‍ᠢᠢᠨ ᠴᠡᠭ ᠪᠠ ᠲᠤᠬᠠᠢ ‍ᠢᠢᠨ ᠰᠢᠯᠤᠭᠤᠨ ᠡᠴᠡ ᠠᠳᠠᠯᠢ ᠵᠠᠢ ᠳ᠋ᠤ ᠪᠠᠢᠢᠷᠢᠯᠠᠬᠤ ᠴᠡᠭ ‍ᠦᠳ ‍ᠦᠨ ᠣᠯᠠᠨᠯᠢᠭ ‍ᠢ <b>ᠫᠠᠷᠠᠪᠣᠯ</b><sup>parabola</sup> ᠬᠡᠮᠡᠮᠦᠢ᠃


ᠲᠡᠭᠦᠨᠴᠢᠯᠡᠨ ᠫᠠᠷᠠᠪᠣᠯ ᠨᠢ ᠳᠤᠭᠤᠢ ᠻᠣᠨᠦ᠋ᠰ ‍ᠤᠨ ᠭᠠᠷᠠᠷᠭᠤ 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>  
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>  


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>
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>  


ᠫᠠᠷᠠᠪᠣᠯ ᠲᠣᠯᠢᠨ ᠰᠢᠮᠮᠧᠲ᠋ᠷ ᠳᠦᠷᠰᠦ ᠲᠡᠢ ᠮᠤᠷᠤᠢ ᠪᠢᠯᠡ᠃   
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᠃   
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==ᠲᠡᠭᠰᠢᠳᠬᠡᠯ==
==ᠲᠡᠭᠰᠢᠳᠬᠡᠯ==


ᠻᠸᠠᠲᠷᠠᠲ<sup>quadratic</sup> ᠲᠡᠭᠰᠢᠳᠬᠡᠯ ‍ᠦᠨ ᠭᠷᠠᠫᠾᠢᠻ<sup>graphic</sup> ᠨᠢ ᠨᠤᠮ ᠬᠡᠯᠪᠡᠷᠢ ᠲᠡᠢ ᠫᠠᠷᠠᠪᠣᠯ ᠪᠠᠢᠢᠳᠠᠭ᠃<ref name=":0" />  
ᠻᠸᠠᠲᠷᠠᠲ<sup>quadratic</sup> ᠲᠡᠭᠰᠢᠳᠬᠡᠯ ‍ᠦᠨ ᠭᠷᠠᠫᠾᠢᠻ<sup>graphic</sup> ᠨᠢ ᠨᠤᠮᠤ ᠬᠡᠯᠪᠡᠷᠢ ᠲᠡᠢ ᠫᠠᠷᠠᠪᠣᠯ ᠪᠠᠢᠢᠳᠠᠭ᠃<ref name=":0" />  


ᠻᠸᠠᠲᠷᠠᠲ ᠲᠡᠭᠰᠢᠳᠬᠡᠯ ᠨᠢ ᠳᠠᠷᠠᠭᠠᠬᠢ ᠪᠠᠢᠢᠳᠠᠯ ‍ᠢᠢᠠᠷ ᠪᠢᠴᠢᠭᠳᠡᠳᠡᠭ᠄
ᠻᠸᠠᠲᠷᠠᠲ ᠲᠡᠭᠰᠢᠳᠬᠡᠯ ᠨᠢ ᠳᠠᠷᠠᠭᠠᠬᠢ ᠪᠠᠢᠢᠳᠠᠯ ‍ᠢᠢᠠᠷ ᠪᠢᠴᠢᠭᠳᠡᠳᠡᠭ᠄
54-р мөр: 55-р мөр:
ᠫᠠᠷᠠᠪᠣᠯ ‍ᠤᠨ ᠲᠡᠭᠰᠢᠳᠬᠡᠯ ‍ᠦᠨ ᠰᠣᠩᠭᠤᠳᠠᠭ ᠬᠡᠯᠪᠡᠷᠢ ᠨᠢ ᠳᠠᠷᠠᠭᠠᠬᠢ ᠪᠠᠢᠢᠳᠠᠯ ‍ᠢᠢᠠᠷ ᠪᠢᠴᠢᠭᠳᠡᠳᠡᠭ᠄
ᠫᠠᠷᠠᠪᠣᠯ ‍ᠤᠨ ᠲᠡᠭᠰᠢᠳᠬᠡᠯ ‍ᠦᠨ ᠰᠣᠩᠭᠤᠳᠠᠭ ᠬᠡᠯᠪᠡᠷᠢ ᠨᠢ ᠳᠠᠷᠠᠭᠠᠬᠢ ᠪᠠᠢᠢᠳᠠᠯ ‍ᠢᠢᠠᠷ ᠪᠢᠴᠢᠭᠳᠡᠳᠡᠭ᠄
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<math>y^2=2px</math> ᠡᠭᠦᠨ ᠳ᠋ᠦ᠄  <math>p > 0</math> ᠪᠠᠢᠢᠬᠤ ᠠᠭᠠᠳ ᠹᠣᠻᠦ᠋ᠰ ᠪᠠ ᠳ᠋ᠢᠷᠡᠻᠲ᠋ᠷᠢᠰ ‍ᠦᠨ ᠬᠣᠭᠤᠷᠤᠨᠳᠠᠬᠤ ᠵᠠᠢ ᠲᠠᠢ ᠲᠡᠩᠴᠡᠨ᠎ ‍ᠡ᠋᠃  
<math>y^2=2px</math> ᠡᠭᠦᠨ ᠳ᠋ᠦ᠄  <math>p > 0</math> ᠪᠠᠢᠢᠬᠤ ᠠᠭᠠᠳ ᠹᠣᠻᠦ᠋ᠰ ᠪᠠ ᠳ᠋ᠢᠷᠧᠻᠲ᠋ᠷᠢᠰ ‍ᠦᠨ ᠬᠣᠭᠤᠷᠤᠨᠳᠤᠬᠢ ᠵᠠᠢ ᠲᠠᠢ ᠲᠡᠩᠴᠡᠨ᠎ ‍ᠡ᠋᠃  
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|[[File:Parts of a Parabola.JPG|thumb|center]]
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|style = "height: 100px;"|<math>p</math> ᠨᠢ ᠹᠣᠻᠦ᠋ᠰ ᠪᠠ ᠳ᠋ᠢᠷᠡᠻᠲ᠋ᠷᠢᠰ ‍ᠦᠨ ᠬᠣᠭᠤᠷᠤᠨᠳᠠᠬᠤ ᠵᠠᠢ ᠲᠠᠢ ᠲᠡᠩᠴᠡᠨ᠎ ‍ᠡ᠋
|style = "height: 100px;"|<math>p</math> ᠨᠢ ᠹᠣᠻᠦ᠋ᠰ ᠪᠠ ᠳ᠋ᠢᠷᠧᠻᠲ᠋ᠷᠢᠰ ‍ᠦᠨ ᠬᠣᠭᠤᠷᠤᠨᠳᠤᠬᠢ ᠵᠠᠢ ᠲᠠᠢ ᠲᠡᠩᠴᠡᠨ᠎ ‍ᠡ᠋
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84-р мөр: 85-р мөр:
ᠳ᠋ᠢᠷᠧᠻᠲ᠋ᠷᠢᠰ - directrix - директриса
ᠳ᠋ᠢᠷᠧᠻᠲ᠋ᠷᠢᠰ - directrix - директриса


ᠰᠢᠮᠮᠧᠲ᠋ᠷᠢ - simmetry - симметрия
ᠲᠡᠭᠰᠢ ᠬᠡᠮ - symmetry - симметрия
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==ᠤᠶᠠᠯᠳᠤᠭ᠎ ‍ᠠ᠋ ᠲᠠᠢ ᠨᠡᠢᠢᠲᠡᠯᠡᠯ==
[[ᠾᠢᠫᠧᠷᠪᠣᠯ]]<br><br>
==ᠡᠬᠢ ᠰᠤᠷᠪᠤᠯᠵᠢ==
==ᠡᠬᠢ ᠰᠤᠷᠪᠤᠯᠵᠢ==
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