"ᠫᠠᠷᠠᠪᠣᠯ"-ны өөр хувилбарууд
(Created Article) |
(Edit) |
||
| 4-р мөр: | 4-р мөр: | ||
=ᠫᠠᠷᠠᠪᠣᠯ= | =ᠫᠠᠷᠠᠪᠣᠯ= | ||
{| class="wikitable | <br> | ||
{| class="wikitable" | |||
|[[File:Parabola animada.gif|thumb|center]] | |[[File:Parabola animada.gif|thumb|center]] | ||
|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 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 <b>ᠫᠠᠷᠠᠪᠣᠯ</b><sup>parabola</sup> ᠬᠡᠮᠡᠮᠦᠢ᠃ | ᠲᠤᠬᠠᠢ ᠢᠢᠨ ᠴᠡᠭ ᠪᠠ ᠲᠤᠬᠠᠢ ᠢᠢᠨ ᠰᠢᠯᠠᠭᠤᠨ ᠡᠴᠡ ᠠᠳᠢᠯ ᠵᠠᠢ ᠳ᠋ᠤ ᠪᠠᠢᠢᠷᠢᠯᠠᠬᠤ ᠴᠡᠭ ᠦᠳ ᠦᠨ ᠣᠯᠠᠨᠯᠢᠭ ᠢ <b>ᠫᠠᠷᠠᠪᠣᠯ</b><sup>parabola</sup> ᠬᠡᠮᠡᠮᠦᠢ᠃ | ||
| 15-р мөр: | 18-р мөр: | ||
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> | 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> | ||
ᠫᠠᠷᠠᠪᠣᠯ ᠲᠣᠯᠢᠨ ᠰᠢᠮᠮᠧᠲ᠋ᠷ ᠳᠦᠷᠰᠦ ᠲᠡᠢ ᠮᠤᠷᠤᠢ ᠪᠢᠯᠡ᠃ | |||
<br><br> | <br><br> | ||
== | ==ᠲᠡᠭᠰᠢᠳᠬᠡᠯ== | ||
{| class="wikitable | <br> | ||
{| class="wikitable" | |||
|[[File:Parts of Parabola.svg|thumb|center]] | |[[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 | |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 | ||
|} | |} | ||
ᠻᠸᠠᠲᠷᠠᠲ<sup>quadratic</sup> ᠲᠡᠭᠰᠢᠳᠬᠡᠯ ᠦᠨ ᠭᠷᠠᠹᠢᠻ<sup>graphic</sup> ᠨᠢ ᠨᠤᠮ ᠬᠡᠯᠪᠡᠷᠢ ᠲᠡᠢ ᠫᠠᠷᠠᠪᠣᠯ ᠪᠠᠢᠢᠳᠠᠭ᠃ | |||
ᠻᠸᠠᠲᠷᠠᠲ ᠲᠡᠭᠰᠢᠳᠬᠡᠯ ᠨᠢ ᠳᠠᠷᠠᠭᠠᠬᠢ ᠪᠠᠢᠢᠳᠠᠯ ᠢᠢᠠᠷ ᠪᠢᠴᠢᠭᠳᠡᠳᠡᠭ᠄ | |||
<br><br> | |||
<span style="writing-mode: horizontal-tb;"> | |||
<br><br> | |||
<math>y=ax^2+bx+c</math> | |||
<br><br> | |||
<span style="max-height:50vh; writing-mode: vertical-lr; font-family: 'Noto Sans Mongolian'"> | |||
ᠡᠭᠦᠨ ᠳ᠋ᠦ᠄ | |||
<math>a, b, c \in \R,\ a \ne 0</math> ᠪᠤᠶᠤ <span style="writing-mode: horizontal-tb;">a, b, c</span> ᠨᠢ ᠪᠣᠳᠠᠲᠤ ᠲᠣᠭ ᠠ᠋ ᠪᠠᠢᠢᠨ ᠠ᠋᠃ | |||
</span> | |||
</span> | |||
<br><br> | |||
ᠮᠥᠨ <span style="writing-mode: horizontal-tb;">a</span> ᠨᠢ <span style="writing-mode: horizontal-tb;">0</span> ᠪᠤᠰᠤ ᠤᠳᠬ ᠠ᠋ ᠲᠠᠢ ᠪᠠᠢᠢᠨ ᠠ᠋᠃ | |||
<br><br> | <br><br> | ||
15:07, 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
 |
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 |
ᠻᠸᠠᠲᠷᠠᠲquadratic ᠲᠡᠭᠰᠢᠳᠬᠡᠯ ᠦᠨ ᠭᠷᠠᠹᠢᠻgraphic ᠨᠢ ᠨᠤᠮ ᠬᠡᠯᠪᠡᠷᠢ ᠲᠡᠢ ᠫᠠᠷᠠᠪᠣᠯ ᠪᠠᠢᠢᠳᠠᠭ᠃
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᠃
ᠪᠠᠰᠠ ᠨᠢᠭᠡᠨ ᠭᠠᠷᠴᠠᠭ
ᠲᠠᠨ ᠤ ᠪᠢᠴᠢᠪᠦᠷᠢ
ᠡᠬᠢ ᠰᠤᠷᠪᠤᠯᠵᠢ
- ↑ Interactive Mathematics. The Parabola. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/04/10
- ↑ Versity Tutors. Hotmath. Parabolas. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/04/10
- ↑ Math is Fun. Conic Sections. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/04/10