"ᠫᠠᠷᠠᠪᠣᠯ"-ны өөр хувилбарууд

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23-р мөр: 23-р мөр:
==ᠲᠡᠭᠰᠢᠳᠬᠡᠯ==
==ᠲᠡᠭᠰᠢᠳᠬᠡᠯ==
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{| class="wikitable"
|[[File:Parts of Parabola.svg|thumb|center]]
|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
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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 ᠨᠤᠮ ᠬᠡᠯᠪᠡᠷᠢ ᠲᠡᠢ ᠫᠠᠷᠠᠪᠣᠯ ᠪᠠᠢᠢᠳᠠᠭ᠃<ref name=":0" />  
45-р мөр: 39-р мөр:
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ᠮᠥᠨ <span style="writing-mode: horizontal-tb;">a</span>  ᠨᠢ <span style="writing-mode: horizontal-tb;">0</span>  ᠪᠤᠰᠤ ᠤᠳᠬ ‍ᠠ᠋ ᠲᠠᠢ ᠪᠠᠢᠢᠨ᠎ ‍ᠠ᠋᠃
ᠮᠥᠨ <span style="writing-mode: horizontal-tb;">a</span>  ᠨᠢ <span style="writing-mode: horizontal-tb;">0</span>  ᠪᠤᠰᠤ ᠤᠳᠬ ‍ᠠ᠋ ᠲᠠᠢ ᠪᠠᠢᠢᠨ᠎ ‍ᠠ᠋᠃
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{| 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
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<math>y=x^2</math>  
<math>y=x^2</math>  
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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᠃
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᠃
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᠃
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{| class="wikitable"
|[[File:Parts of a Parabola.JPG|thumb|center]]
|style = "height: 100px;"|<math>p</math> ᠨᠢ ᠹᠣᠻᠦ᠋ᠰ ᠪᠠ ᠳ᠋ᠢᠷᠡᠻᠲ᠋ᠷᠢᠰ ‍ᠦᠨ ᠬᠣᠭᠤᠷᠤᠨᠳᠠᠬᠤ ᠵᠠᠢ ᠲᠠᠢ ᠲᠡᠩᠴᠡᠨ᠎ ‍ᠡ᠋
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==ᠪᠠᠰᠠ ᠨᠢᠭᠡᠨ ᠭᠠᠷᠴᠠᠭ==
==ᠪᠠᠰᠠ ᠨᠢᠭᠡᠨ ᠭᠠᠷᠴᠠᠭ==
ᠲᠠᠨ ‍ᠤ ᠪᠢᠴᠢᠪᠦᠷᠢ
ᠲᠠᠨ ‍ᠤ ᠪᠢᠴᠢᠪᠦᠷᠢ

16:12, 10 Дөрөвдүгээр сар 2021-ий байдлаарх засвар


ᠫᠠᠷᠠᠪᠣᠯ


ᠲᠥᠪ ᠴᠡᠭ ᠪᠠ ᠲᠤᠬᠠᠢ ‍ᠢᠢᠨ ᠰᠢᠯᠠᠭᠤᠨ ᠡᠴᠡ ᠠᠳᠢᠯ 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᠃[1]

ᠲᠡᠭᠦᠨᠴᠢᠯᠡᠨ ᠫᠠᠷᠠᠪᠣᠯ ᠨᠢ ᠳᠤᠭᠤᠢ ᠻᠣᠨᠦ᠋ᠰ ‍ᠤᠨ ᠭᠠᠷᠠᠷᠭᠤ ᠪᠠ ᠬᠠᠪᠲᠠᠭᠠᠢ ‍ᠢᠢᠨ ᠣᠭᠲᠤᠯᠤᠯᠴᠠᠯ ᠶᠤᠮ᠃[2]

ᠲᠣᠭᠤᠷᠢᠭ᠂ ᠧᠯᠯᠢᠫᠰ᠂ ᠾᠢᠫᠧᠷᠪᠣᠯ᠂ ᠫᠠᠷᠠᠪᠣᠯ - ᠡᠳᠡᠭᠡᠷ ᠨᠢ ᠻᠣᠨᠦ᠋ᠰ ‍ᠤᠨ ᠣᠭᠲᠤᠯᠤᠯ ᠪᠠᠢᠢᠳᠠᠭ᠃ [3]

ᠫᠠᠷᠠᠪᠣᠯ ᠲᠣᠯᠢᠨ ᠰᠢᠮᠮᠧᠲ᠋ᠷ ᠳᠦᠷᠰᠦ ᠲᠡᠢ ᠮᠤᠷᠤᠢ ᠪᠢᠯᠡ᠃

ᠲᠡᠭᠰᠢᠳᠬᠡᠯ

ᠻᠸᠠᠲᠷᠠᠲquadratic ᠲᠡᠭᠰᠢᠳᠬᠡᠯ ‍ᠦᠨ ᠭᠷᠠᠫᠾᠢᠻgraphic ᠨᠢ ᠨᠤᠮ ᠬᠡᠯᠪᠡᠷᠢ ᠲᠡᠢ ᠫᠠᠷᠠᠪᠣᠯ ᠪᠠᠢᠢᠳᠠᠭ᠃[2]

ᠻᠸᠠᠲᠷᠠᠲ ᠲᠡᠭᠰᠢᠳᠬᠡᠯ ᠨᠢ ᠳᠠᠷᠠᠭᠠᠬᠢ ᠪᠠᠢᠢᠳᠠᠯ ‍ᠢᠢᠠᠷ ᠪᠢᠴᠢᠭᠳᠡᠳᠡᠭ᠄





ᠡᠭᠦᠨ ᠳ᠋ᠦ᠄ ᠪᠤᠶᠤ a, b, c ᠨᠢ ᠪᠣᠳᠠᠲᠤ ᠲᠣᠭ᠎ ‍ᠠ᠋ ᠪᠠᠢᠢᠨ᠎ ‍ᠠ᠋᠃


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

b ‍ᠢᠢᠨ ᠤᠳᠬ ‍ᠠ᠋


ᠬᠡᠯᠪᠡᠷᠢ ‍ᠢᠢᠨ ᠹᠦᠨ᠍ᠻᠼᠢ ‍ᠢᠢᠨfunction ᠭᠷᠠᠫᠾᠢᠻ ᠴᠤ ᠫᠠᠷᠠᠪᠣᠯ ᠪᠠᠢᠢᠬᠤ ᠠᠭᠠᠳ ᠡᠨᠡ ᠨᠢ ᠪᠥᠭᠡᠳ ᠪᠠᠢᠢᠬᠤ ᠦᠶ ‍ᠡ᠋ ‍ᠢᠢᠨ ᠲᠣᠬᠢᠶᠠᠯᠳᠠ ᠶᠤᠮ᠃

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

ᠡᠭᠦᠨ ᠳ᠋ᠦ᠄ ᠪᠠᠢᠢᠬᠤ ᠠᠭᠠᠳ ᠹᠣᠻᠦ᠋ᠰ ᠪᠠ ᠳ᠋ᠢᠷᠡᠻᠲ᠋ᠷᠢᠰ ‍ᠦᠨ ᠬᠣᠭᠤᠷᠤᠨᠳᠠᠬᠤ ᠵᠠᠢ ᠲᠠᠢ ᠲᠡᠩᠴᠡᠨ᠎ ‍ᠡ᠋᠃

ᠨᠢ ᠹᠣᠻᠦ᠋ᠰ ᠪᠠ ᠳ᠋ᠢᠷᠡᠻᠲ᠋ᠷᠢᠰ ‍ᠦᠨ ᠬᠣᠭᠤᠷᠤᠨᠳᠠᠬᠤ ᠵᠠᠢ ᠲᠠᠢ ᠲᠡᠩᠴᠡᠨ᠎ ‍ᠡ᠋


ᠪᠠᠰᠠ ᠨᠢᠭᠡᠨ ᠭᠠᠷᠴᠠᠭ

ᠲᠠᠨ ‍ᠤ ᠪᠢᠴᠢᠪᠦᠷᠢ

ᠡᠬᠢ ᠰᠤᠷᠪᠤᠯᠵᠢ

</reference>
  1. Interactive Mathematics. The Parabola. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/04/10
  2. 2.0 2.1 Varsity Tutors. Hotmath. Parabolas. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/04/10
  3. Math is Fun. Conic Sections. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/04/10