"ᠧᠦ᠋ᠻ᠊ᠯᠢᠳ᠋ ᠊ᠦᠨ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ"-ны өөр хувилбарууд
ᠧᠦ᠋ᠻ᠊ᠯᠢᠳ᠋ ᠊ᠦᠨ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ (засварлах)
10:17, 20 Гуравдугаар сар 2021-ий байдлаарх засвар
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ᠬᠦᠮᠦᠨ ᠲᠥᠷᠦᠯᠬᠢᠲᠡᠨ ᠢ ᠬᠦᠷᠢᠶᠡᠯᠡᠨ ᠪᠤᠢ ᠶᠢᠷᠲᠢᠨᠴᠦ ᠢᠢᠨ ᠢᠯᠡᠳᠲᠡ ᠬᠠᠷᠠᠭᠳᠠᠬᠤ ᠲᠥᠷᠬᠦ ᠪᠠᠢᠢᠳᠠᠯ ᠲᠠᠢ ᠦᠶᠠᠯᠳᠠᠵᠤ ᠧᠦ᠋ᠻ᠊ᠯᠢᠳ᠋ ᠦᠨ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ ᠬᠥᠭᠵᠢᠵᠡᠢ᠃ <ref>А.М.Прохоров и др. Советский энциклопедический словарь. ©Издательство “Советская энциклопедия”. Москва 1989</ref> ᠬᠣᠶᠠᠷ | ᠬᠦᠮᠦᠨ ᠲᠥᠷᠦᠯᠬᠢᠲᠡᠨ ᠢ ᠬᠦᠷᠢᠶᠡᠯᠡᠨ ᠪᠤᠢ ᠶᠢᠷᠲᠢᠨᠴᠦ ᠢᠢᠨ ᠢᠯᠡᠳᠲᠡ ᠬᠠᠷᠠᠭᠳᠠᠬᠤ ᠲᠥᠷᠬᠦ ᠪᠠᠢᠢᠳᠠᠯ ᠲᠠᠢ ᠦᠶᠠᠯᠳᠠᠵᠤ ᠧᠦ᠋ᠻ᠊ᠯᠢᠳ᠋ ᠦᠨ<sup>Euclid</sup> ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ<sup>geometry</sup> ᠬᠥᠭᠵᠢᠵᠡᠢ᠃ <ref>А.М.Прохоров и др. Советский энциклопедический словарь. ©Издательство “Советская энциклопедия”. Москва 1989</ref> ᠬᠣᠶᠠᠷ ᠲᠡᠢᠢᠰᠢ ᠲᠠᠲᠤᠭᠰᠠᠨ ᠴᠢᠪᠬᠠᠳᠠᠰᠤ ᠵᠠᠪᠠᠯ ᠰᠢᠯᠠᠭᠤᠨ ᠪᠠᠢᠢᠬᠤ ᠭᠡᠬᠦ ᠮᠡᠲᠦ ᠢᠨᠠᠭᠤᠬᠢ ᠴᠢᠨᠠᠷ ᠤᠳ ᠡᠨᠡᠬᠦ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ ᠦᠨ ᠲᠣᠭᠲᠠᠯᠴᠠᠭᠠᠨ ᠤ ᠦᠨᠳᠦᠰᠦ ᠪᠣᠯᠵᠡᠢ᠃ | ||
ᠨᠡᠢᠢᠲᠡ ᠢᠢᠨ ᠲᠣᠭᠠᠯᠠᠯ ᠤᠨ ᠡᠮᠦᠨᠡᠬᠢ 3 ᠳ᠋ᠤᠭᠠᠷ ᠵᠠᠭᠤᠨ ᠤ ᠦᠶ ᠡ᠋ | ᠨᠡᠢᠢᠲᠡ ᠢᠢᠨ ᠲᠣᠭᠠᠯᠠᠯ ᠤᠨ ᠡᠮᠦᠨᠡᠬᠢ 3 ᠳ᠋ᠤᠭᠠᠷ ᠵᠠᠭᠤᠨ ᠤ ᠦᠶ ᠡ᠋ ᠢᠢᠨ ᠶᠡᠬᠡ ᠰᠡᠳᠬᠢᠭᠴᠢ ᠧᠦ᠋ᠻ᠊ᠯᠢᠳ᠋ ᠦᠨ (Εὐκλείδης) ᠨᠡᠷ ᠡ᠋ ᠲᠡᠢ ᠬᠣᠯᠪᠤᠭᠳᠠᠳᠠᠭ "ᠡᠬᠢᠯᠡᠯ" (Στοιχεῖον) ᠬᠡᠮᠡᠬᠦ 13 ᠪᠣᠲᠢ ᠪᠦᠲᠦᠭᠡᠯ ᠳ᠋ᠦ ᠮᠠᠲ᠌ᠾᠧᠮᠠᠲ᠋ᠢᠻ᠂ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ ᠦᠨ ᠵᠠᠷᠴᠢᠮ᠂ ᠪᠠᠷᠢᠮᠲᠠᠯᠠᠯ ᠤᠳ ᠢ ᠨᠢᠭᠡᠨ ᠴᠣᠭᠴᠠ ᠪᠣᠯᠭᠠᠨ ᠨᠢᠭᠡᠳᠬᠡᠵᠡᠢ᠃<ref>[https://books.google.mn/books?id=djUPAQAAMAAJ&redir_esc=y B. L. Van Der Waerden. Science Awakening I, Volume 1. Noordhoff International. 1975]. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/03/17</ref> | ||
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==ᠫᠣᠰᠲ᠋ᠦ᠋ᠯᠠᠲ== | ==ᠫᠣᠰᠲ᠋ᠦ᠋ᠯᠠᠲ== | ||
ᠠᠻᠰᠢᠣᠮ ᠤᠨ ᠠᠷᠭ ᠠ᠋ ᠭᠡᠳᠡᠭ ᠨᠢ ᠰᠢᠨᠵᠢᠯᠡᠬᠦ ᠤᠬᠠᠭᠠᠨ ᠤ ᠣᠨᠤᠯ ᠪᠠᠢᠢᠭᠤᠯᠬᠤ ᠳ᠋ᠤ | ᠠᠻᠰᠢᠣᠮ ᠤᠨ ᠠᠷᠭ ᠠ᠋ ᠭᠡᠳᠡᠭ ᠨᠢ ᠰᠢᠨᠵᠢᠯᠡᠬᠦ ᠤᠬᠠᠭᠠᠨ ᠤ ᠣᠨᠤᠯ ᠪᠠᠢᠢᠭᠤᠯᠬᠤ ᠳ᠋ᠤ ᠠᠩᠬᠠᠳᠠᠭᠴᠢ ᠪᠠᠢᠷᠢᠮᠲᠠᠯᠠᠯ ᠤᠳ ᠪᠤᠶᠤ ᠠᠻᠰᠢᠣᠮ᠂ ᠫᠣᠰᠲᠦ᠋ᠯᠠᠲ ᠤᠳ ᠢ ᠰᠠᠭᠤᠷᠢ ᠪᠣᠯᠭᠠᠨ ᠠᠪᠳᠠᠭ᠂ ᠪᠤᠰᠤᠳ ᠰᠠᠨᠠᠭ ᠠ᠋ ᠨᠤᠭᠤᠳ ᠢ ᠲᠡᠳᠡᠭᠡᠷ ᠠᠩᠬᠠᠳᠠᠭᠴᠢ ᠪᠠᠷᠢᠮᠲᠠᠯᠠᠯ ᠤᠳ ᠳ᠋ᠤ ᠳᠤᠯᠳᠤᠢᠢᠳᠤᠨ ᠤᠴᠢᠷ ᠰᠢᠯᠲᠠᠭᠠᠨ ᠢᠢᠠᠷ ᠪᠠᠲᠤᠯᠠᠵᠤ᠂ ᠨᠣᠲᠠᠯᠠᠳᠠᠭ ᠲᠣᠭᠲᠠᠯᠴᠠᠭᠠᠨ ᠤ ᠠᠷᠭ ᠠ᠋ ᠵᠦᠢ ᠶᠤᠮ᠃<br> | ||
ᠢᠢᠨ ᠬᠦ ᠲᠤᠬᠠᠢ ᠢᠢᠨ ᠣᠨᠤᠯ ᠢ ᠦᠨᠡᠨ ᠵᠥᠪ ᠬᠡᠮᠡᠨ ᠪᠠᠲᠤᠯᠠᠬᠤ ᠳ᠋ᠤ | ᠢᠢᠨ ᠬᠦ ᠲᠤᠬᠠᠢ ᠢᠢᠨ ᠣᠨᠤᠯ ᠢ ᠦᠨᠡᠨ ᠵᠥᠪ ᠬᠡᠮᠡᠨ ᠪᠠᠲᠤᠯᠠᠬᠤ ᠶᠠᠪᠤᠴᠠ ᠳ᠋ᠤ ᠳᠤᠷ ᠠ᠋ ᠵᠣᠷᠭ ᠠ᠋ ᠪᠠᠷ ᠬᠠᠨᠳᠤᠬᠤ ᠶᠠᠪᠤᠳᠠᠯ ᠢ ᠬᠠᠵᠠᠭᠠᠷᠯᠠᠵᠤ ᠥᠭᠭᠦᠳᠡᠭ᠃<ref>[https://www.booksite.ru/fulltext/1/001/008/007/395.htm Ю. А. Гастев, А. С. Есенин-Вольпин. Аксиоматический метод]. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/03/19</ref><br> | ||
ᠫᠣᠰᠲᠦ᠋ᠯᠠᠲ ᠭᠡᠳᠡᠭ ᠢ ᠡ᠊᠂ ᠸᠠᠩᠳᠤᠢ ᠢᠢᠨ ᠣᠷᠤᠰ ᠮᠣᠩᠭᠤᠯ ᠨᠡᠷ ᠡ᠋ ᠲᠣᠮᠢᠶᠠᠨ ᠤ ᠲᠣᠯᠢ ᠳ᠋ᠤ "ᠳᠠᠯᠳᠠ ᠦᠨᠡᠨ" | ᠫᠣᠰᠲᠦ᠋ᠯᠠᠲ ᠭᠡᠳᠡᠭ ᠢ ᠡ᠊᠂ ᠸᠠᠩᠳᠤᠢ ᠢᠢᠨ ᠣᠷᠤᠰ-ᠮᠣᠩᠭᠤᠯ ᠨᠡᠷ ᠡ᠋ ᠲᠣᠮᠢᠶᠠᠨ ᠤ ᠲᠣᠯᠢ ᠳ᠋ᠤ "ᠳᠠᠯᠳᠠ ᠦᠨᠡᠨ" ᠭᠡᠵᠦ ᠣᠷᠴᠢᠭᠤᠯᠤᠭᠰᠠᠨ ᠨᠢ ᠰᠣᠨᠢᠷᠬᠠᠯ ᠲᠠᠢ᠃<ref name=":1">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><br> | ||
"ᠡᠬᠢᠯᠡᠯ" ᠪᠦᠲᠦᠭᠡᠯ ᠳ᠋ᠦ ᠲᠣᠮᠢᠶᠠᠯᠠᠭᠰᠠᠨ ᠦᠨᠳᠦᠰᠦᠨ ᠫᠣᠰᠲᠦ᠋ᠯᠠᠲ ᠤᠳ ᠤᠨ ᠤᠳᠬ ᠠ᠋ ᠨᠢ᠄ <br> | "ᠡᠬᠢᠯᠡᠯ" ᠪᠦᠲᠦᠭᠡᠯ ᠳ᠋ᠦ ᠲᠣᠮᠢᠶᠠᠯᠠᠭᠰᠠᠨ ᠦᠨᠳᠦᠰᠦᠨ ᠫᠣᠰᠲᠦ᠋ᠯᠠᠲ ᠤᠳ ᠤᠨ ᠤᠳᠬ ᠠ᠋ ᠨᠢ᠄ <br> | ||
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|style = "height: 250px;"|ᠲᠠᠪᠤᠳᠤᠭᠠᠷ ᠫᠣᠰᠲᠦ᠋ᠯᠠᠲ᠄ ᠬᠣᠶᠠᠷ ᠰᠢᠯᠤᠭᠤᠨ ᠲᠠᠢ ᠣᠭᠲᠣᠯᠤᠯᠴᠠᠭᠰᠠᠨ ᠰᠢᠯᠤᠭᠤᠨ ᠨᠢ ᠤᠭ ᠬᠣᠶᠠᠷ ᠰᠢᠯᠤᠭᠤᠨ ᠲᠠᠢ ᠬᠣᠶᠠᠷ ᠲᠡᠭᠰᠢ ᠥᠨᠴᠥᠭ ᠡᠴᠡ ᠪᠠᠭᠠ ᠳᠣᠲᠣᠭᠠᠳᠤ ᠥᠷᠥᠭᠡᠯ ᠥᠨᠴᠥᠭ ᠦᠳ ᠡᠭᠦᠰᠬᠡᠵᠦ | |style = "height: 250px;"|ᠲᠠᠪᠤᠳᠤᠭᠠᠷ ᠫᠣᠰᠲᠦ᠋ᠯᠠᠲ᠄ ᠬᠣᠶᠠᠷ ᠰᠢᠯᠤᠭᠤᠨ ᠲᠠᠢ ᠣᠭᠲᠣᠯᠤᠯᠴᠠᠭᠰᠠᠨ ᠰᠢᠯᠤᠭᠤᠨ ᠨᠢ ᠤᠭ ᠬᠣᠶᠠᠷ ᠰᠢᠯᠤᠭᠤᠨ ᠲᠠᠢ ᠬᠣᠶᠠᠷ ᠲᠡᠭᠰᠢ ᠥᠨᠴᠥᠭ ᠡᠴᠡ ᠪᠠᠭᠠ ᠳᠣᠲᠣᠭᠠᠳᠤ ᠥᠷᠥᠭᠡᠯ ᠥᠨᠴᠥᠭ ᠦᠳ ᠡᠭᠦᠰᠬᠡᠵᠦ ᠪᠠᠶ᠋ᠢᠭᠠ ᠲᠣᠬᠢᠶᠠᠳᠤᠯ ᠳᠤ ᠤᠭ ᠬᠣᠶᠠᠷ ᠰᠢᠯᠤᠭᠤᠨ ᠢ ᠬᠢᠵᠠᠭᠠᠷ ᠦᠭᠡᠢ ᠦᠷᠭᠦᠯᠵᠢᠯᠡᠭᠦᠯᠪᠡᠯ ᠲᠡᠳᠡᠭᠡᠷ ᠨᠢ ᠬᠣᠶᠠᠷ ᠲᠡᠭᠰᠢ ᠥᠨᠴᠥᠭ ᠦᠳ ᠡᠴᠡ ᠪᠠᠭᠠ ᠬᠣᠶᠠᠷ ᠥᠨᠴᠥᠭ ᠲᠡᠢ ᠲᠠᠯᠠ ᠳᠤ ᠪᠠᠨ ᠣᠭᠲᠣᠯᠤᠯᠴᠠᠨᠠ᠃ | ||
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<span style="writing-mode: horizontal-tb; ">1.</span> ᠠᠯᠢᠪᠠ ᠳᠤᠷᠠ ᠶᠢᠨ ᠴᠡᠭ ᠡᠴᠡ ᠳᠤᠷᠠ ᠶᠢᠨ ᠴᠡᠭ ᠬᠦᠷᠲᠡᠯᠡ ᠰᠢᠯᠤᠭᠤᠨ ᠲᠠᠲᠠᠵᠤ ᠪᠣᠯᠤᠨᠠ᠃<br> | <span style="writing-mode: horizontal-tb; ">1.</span> ᠠᠯᠢᠪᠠ ᠳᠤᠷᠠ ᠶᠢᠨ ᠴᠡᠭ ᠡᠴᠡ ᠳᠤᠷᠠ ᠶᠢᠨ ᠴᠡᠭ ᠬᠦᠷᠲᠡᠯᠡ ᠰᠢᠯᠤᠭᠤᠨ ᠲᠠᠲᠠᠵᠤ ᠪᠣᠯᠤᠨᠠ᠃<br> | ||
<span style="writing-mode: horizontal-tb; ">2.</span> ᠠᠯᠢᠪᠠ ᠰᠢᠯᠤᠭᠤᠨ ᠱᠤᠭᠤᠮ ᠢ ᠬᠢᠵᠠᠭᠠᠷ ᠦᠭᠡᠢ ᠦᠷᠭᠦᠯᠵᠢᠯᠡᠭᠦᠯᠵᠦ ᠪᠣᠯᠤᠨᠠ᠃<br> | <span style="writing-mode: horizontal-tb; ">2.</span> ᠠᠯᠢᠪᠠ ᠰᠢᠯᠤᠭᠤᠨ ᠱᠤᠭᠤᠮ ᠢ ᠬᠢᠵᠠᠭᠠᠷ ᠦᠭᠡᠢ ᠦᠷᠭᠦᠯᠵᠢᠯᠡᠭᠦᠯᠵᠦ ᠪᠣᠯᠤᠨᠠ᠃<br> | ||
<span style="writing-mode: horizontal-tb; ">3.</span> ᠳᠤᠷᠠ ᠶᠢᠨ ᠲᠥᠪ ᠡᠴᠡ ᠳᠤᠷᠠ ᠶᠢᠨ | <span style="writing-mode: horizontal-tb; ">3.</span> ᠳᠤᠷᠠ ᠶᠢᠨ ᠲᠥᠪ ᠡᠴᠡ ᠳᠤᠷᠠ ᠶᠢᠨ ᠷᠠᠳᠢᠦ᠋ᠰ ᠢᠶ᠋ᠠᠷ<sup>radius</sup> ᠲᠣᠭᠣᠷᠢᠭ ᠲᠠᠲᠠᠵᠤ ᠪᠣᠯᠤᠨᠠ᠃<br> | ||
<span style="writing-mode: horizontal-tb; ">4.</span> ᠪᠦᠬᠦ ᠲᠡᠭᠰᠢ ᠥᠨᠴᠥᠭ ᠬᠣᠭᠣᠷᠣᠨᠳᠣ ᠪᠠᠨ ᠲᠡᠩᠴᠡᠭᠦᠦ᠃<br> | <span style="writing-mode: horizontal-tb; ">4.</span> ᠪᠦᠬᠦ ᠲᠡᠭᠰᠢ ᠥᠨᠴᠥᠭ ᠬᠣᠭᠣᠷᠣᠨᠳᠣ ᠪᠠᠨ ᠲᠡᠩᠴᠡᠭᠦᠦ᠃<br> | ||
<span style="writing-mode: horizontal-tb; ">5.</span> ᠬᠣᠶᠠᠷ ᠰᠢᠯᠤᠭᠤᠨ ᠲᠠᠢ ᠣᠭᠲᠣᠯᠤᠯᠴᠠᠭᠰᠠᠨ ᠰᠢᠯᠤᠭᠤᠨ ᠨᠢ ᠤᠭ ᠬᠣᠶᠠᠷ ᠰᠢᠯᠤᠭᠤᠨ ᠲᠠᠢ ᠬᠣᠶᠠᠷ ᠲᠡᠭᠰᠢ ᠥᠨᠴᠥᠭ ᠡᠴᠡ ᠪᠠᠭᠠ ᠳᠣᠲᠣᠭᠠᠳᠤ ᠥᠷᠥᠭᠡᠯ ᠥᠨᠴᠥᠭ ᠦᠳ ᠡᠭᠦᠰᠬᠡᠵᠦ | <span style="writing-mode: horizontal-tb; ">5.</span> ᠬᠣᠶᠠᠷ ᠰᠢᠯᠤᠭᠤᠨ ᠲᠠᠢ ᠣᠭᠲᠣᠯᠤᠯᠴᠠᠭᠰᠠᠨ ᠰᠢᠯᠤᠭᠤᠨ ᠨᠢ ᠤᠭ ᠬᠣᠶᠠᠷ ᠰᠢᠯᠤᠭᠤᠨ ᠲᠠᠢ ᠬᠣᠶᠠᠷ ᠲᠡᠭᠰᠢ ᠥᠨᠴᠥᠭ ᠡᠴᠡ ᠪᠠᠭᠠ ᠳᠣᠲᠣᠭᠠᠳᠤ ᠥᠷᠥᠭᠡᠯ ᠥᠨᠴᠥᠭ ᠦᠳ ᠡᠭᠦᠰᠬᠡᠵᠦ ᠪᠠᠶ᠋ᠢᠭᠠ ᠲᠣᠬᠢᠶᠠᠳᠤᠯ ᠳᠤ ᠤᠭ ᠬᠣᠶᠠᠷ ᠰᠢᠯᠤᠭᠤᠨ ᠢ ᠬᠢᠵᠠᠭᠠᠷ ᠦᠭᠡᠢ ᠦᠷᠭᠦᠯᠵᠢᠯᠡᠭᠦᠯᠪᠡᠯ ᠲᠡᠳᠡᠭᠡᠷ ᠨᠢ ᠬᠣᠶᠠᠷ ᠲᠡᠭᠰᠢ ᠥᠨᠴᠥᠭ ᠦᠳ ᠡᠴᠡ ᠪᠠᠭᠠ ᠬᠣᠶᠠᠷ ᠥᠨᠴᠥᠭ ᠲᠡᠢ ᠲᠠᠯᠠ ᠳᠤ ᠪᠠᠨ ᠣᠭᠲᠣᠯᠤᠯᠴᠠᠨᠠ᠃<ref>[http://900igr.net/prezentatsii/geometrija/Evklid/005-Postulaty-Evklida.html Урок геометрия 39 тем. Постулаты Евклида]. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/02/09</ref><ref name=":0" /> | ||
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==ᠠᠻᠰᠢᠥᠮ== | ==ᠠᠻᠰᠢᠥᠮ== | ||
ᠠᠻᠰᠢᠣᠮ ᠭᠡᠳᠡᠭ ᠢ ᠡ᠊᠂ ᠸᠠᠩᠳᠤᠢ ᠢᠢᠨ ᠣᠷᠤᠰ ᠮᠣᠩᠭᠤᠯ ᠨᠡᠷ ᠡ᠋ ᠲᠣᠮᠢᠶᠠᠨ ᠤ ᠲᠣᠯᠢ ᠳ᠋ᠤ "ᠢᠯᠡᠳᠲᠡ ᠦᠨᠡᠨ" ᠦᠨᠡ ᠭᠡᠵᠦ᠂ | ᠠᠻᠰᠢᠣᠮ ᠭᠡᠳᠡᠭ ᠢ ᠡ᠊᠂ ᠸᠠᠩᠳᠤᠢ ᠢᠢᠨ ᠣᠷᠤᠰ-ᠮᠣᠩᠭᠤᠯ ᠨᠡᠷ ᠡ᠋ ᠲᠣᠮᠢᠶᠠᠨ ᠤ ᠲᠣᠯᠢ ᠳ᠋ᠤ "ᠢᠯᠡᠳᠲᠡ ᠦᠨᠡᠨ" ᠦᠨᠡ ᠭᠡᠵᠦ᠂ ᠬᠠᠷᠢᠨ ᠲᠾᠧᠣᠷᠧᠮ ᠢ "ᠮᠠᠭᠠᠳᠯᠠᠬᠤ ᠦᠨᠡᠨ" ᠭᠡᠵᠦ ᠣᠷᠴᠢᠭᠤᠯᠤᠭᠰᠠᠨ ᠪᠠᠢᠢᠳᠠᠭ᠃<ref name=":1" /><br> | ||
ᠠᠻᠰᠢᠣᠮ ᠪᠠ ᠫᠣᠰᠲᠦ᠋ᠯᠠᠲ ᠪᠠᠲᠤᠯᠠᠭ ᠠ᠋ ᠱᠠᠭᠠᠷᠳᠠᠳᠠᠭ ᠦᠭᠡᠢ᠂ ᠥᠪᠡᠷ ᠡᠴᠡ ᠪᠡᠨ ᠢᠯᠡᠷᠬᠡᠶ᠂ ᠲᠣᠳᠤᠷᠬᠠᠶ ᠮᠡᠳᠡᠭᠳᠡᠬᠦᠨ ᠨᠤᠭᠦᠳ ᠭᠡᠵᠦ ᠦᠵᠡᠳᠡᠭ᠃ <br> | ᠠᠻᠰᠢᠣᠮ ᠪᠠ ᠫᠣᠰᠲᠦ᠋ᠯᠠᠲ ᠪᠠᠲᠤᠯᠠᠭ ᠠ᠋ ᠱᠠᠭᠠᠷᠳᠠᠳᠠᠭ ᠦᠭᠡᠢ᠂ ᠥᠪᠡᠷ ᠡᠴᠡ ᠪᠡᠨ ᠢᠯᠡᠷᠬᠡᠶ᠂ ᠲᠣᠳᠤᠷᠬᠠᠶ ᠮᠡᠳᠡᠭᠳᠡᠬᠦᠨ ᠨᠤᠭᠦᠳ ᠭᠡᠵᠦ ᠦᠵᠡᠳᠡᠭ᠃ <br> | ||
ᠬᠠᠷᠢᠨ ᠲᠾᠧᠣᠷᠧᠮ ᠦᠳ ᠢ ᠠᠻᠰᠢᠣᠮ᠂ ᠫᠣᠰᠲᠦ᠋ᠯᠠᠲ᠋ ᠪᠣᠯᠤᠨ ᠡᠮᠦᠨ ᠡ᠋ ᠨᠢ ᠠᠻᠰᠢᠣᠮ᠂ ᠫᠣᠰᠲᠦ᠋ᠯᠠᠲ᠋ ᠲᠤ ᠲᠤᠯᠭᠠᠭᠤᠷᠯᠠᠨ ᠪᠠᠲᠤᠯᠠᠭᠰᠠᠨ ᠲᠾᠧᠣᠷᠧᠮ ᠦᠳ ᠢᠢᠡᠷ ᠡᠰᠢ ᠪᠣᠯᠭᠠᠨ ᠪᠠᠲᠤᠯᠠᠳᠠᠭ᠃ | |||
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| 46-р мөр: | 46-р мөр: | ||
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<span style="writing-mode: horizontal-tb; ">1.</span> ᠨᠢᠭᠡ ᠵᠦᠢᠯ ᠲᠡᠢ ᠲᠡᠩᠴᠡᠭᠦᠦ | <span style="writing-mode: horizontal-tb; ">1.</span> ᠨᠢᠭᠡ ᠵᠦᠢᠯ ᠲᠡᠢ ᠲᠡᠩᠴᠡᠭᠦᠦ ᠨᠤᠭᠦᠳ ᠬᠣᠭᠣᠷᠣᠨᠳᠣ ᠪᠠᠨ ᠴᠤ ᠲᠡᠩᠴᠡᠭᠦᠦ ᠪᠠᠶ᠋ᠢᠨᠠ᠃<br> | ||
<span style="writing-mode: horizontal-tb; ">2.</span> ᠲᠡᠩᠴᠡᠭᠦᠦ | <span style="writing-mode: horizontal-tb; ">2.</span> ᠲᠡᠩᠴᠡᠭᠦᠦ ᠨᠤᠭᠦᠳ ᠳᠡᠭᠡᠷᠡ ᠲᠡᠩᠴᠡᠭᠦᠦ ᠨᠤᠭᠦᠳ ᠶᠢ ᠨᠡᠮᠡᠪᠡᠯ ᠨᠡᠶ᠋ᠢᠯᠡᠪᠦᠷᠢ ᠦᠳ ᠨᠢ ᠴᠤ ᠬᠣᠭᠣᠷᠣᠨᠳᠣ ᠪᠠᠨ ᠲᠡᠩᠴᠡᠭᠦᠦ ᠪᠠᠶ᠋ᠢᠨᠠ᠃<br> | ||
<span style="writing-mode: horizontal-tb; ">3.</span> ᠲᠡᠩᠴᠡᠭᠦᠦ | <span style="writing-mode: horizontal-tb; ">3.</span> ᠲᠡᠩᠴᠡᠭᠦᠦ ᠨᠤᠭᠦᠳ ᠡᠴᠡ ᠲᠡᠩᠴᠡᠭᠦᠦ ᠨᠤᠭᠦᠳ ᠶᠢ ᠬᠠᠰᠤᠪᠠᠯ ᠦᠯᠡᠳᠡᠭᠳᠡᠯ ᠦᠳ ᠨᠢ ᠴᠤ ᠲᠡᠩᠴᠡᠭᠦᠦ ᠪᠠᠶ᠋ᠢᠨᠠ᠃<br> | ||
<span style="writing-mode: horizontal-tb; ">4.</span> ᠲᠡᠩᠴᠡᠭᠦᠦ ᠪᠢᠰᠢ | <span style="writing-mode: horizontal-tb; ">4.</span> ᠲᠡᠩᠴᠡᠭᠦᠦ ᠪᠢᠰᠢ ᠨᠤᠭᠦᠳ ᠳᠡᠭᠡᠷᠡ ᠲᠡᠩᠴᠡᠭᠦᠦ ᠨᠤᠭᠦᠳ ᠶᠢ ᠨᠡᠮᠡᠪᠡᠯ ᠨᠡᠶ᠋ᠢᠯᠡᠪᠦᠷᠢ ᠦᠳ ᠨᠢ ᠲᠡᠩᠴᠡᠭᠦᠦ ᠪᠢᠰᠢ ᠪᠠᠶ᠋ᠢᠨᠠ᠃<br> | ||
<span style="writing-mode: horizontal-tb; ">5.</span> ᠲᠡᠩᠴᠡᠭᠦᠦ | <span style="writing-mode: horizontal-tb; ">5.</span> ᠲᠡᠩᠴᠡᠭᠦᠦ ᠨᠤᠭᠦᠳ ᠶᠢ ᠠᠳᠠᠯᠢ ᠬᠡᠮᠵᠢᠶᠡ ᠪᠡᠷ ᠦᠷᠡᠵᠢᠭᠦᠯᠪᠡᠯ ᠦᠷᠡᠵᠢᠪᠦᠷᠢ ᠨᠢ ᠴᠤ ᠲᠡᠩᠴᠡᠭᠦᠦ ᠪᠠᠶ᠋ᠢᠨᠠ᠃<br> | ||
<span style="writing-mode: horizontal-tb; ">6.</span> ᠲᠡᠩᠴᠡᠭᠦᠦ | <span style="writing-mode: horizontal-tb; ">6.</span> ᠲᠡᠩᠴᠡᠭᠦᠦ ᠨᠤᠭᠦᠳ ᠦᠨ ᠲᠡᠩ ᠬᠠᠭᠠᠰ ᠤᠳ ᠨᠢ ᠬᠣᠭᠣᠷᠣᠨᠳᠣ ᠪᠠᠨ ᠲᠡᠩᠴᠡᠭᠦᠦ ᠪᠠᠶ᠋ᠢᠨᠠ᠃<br> | ||
<span style="writing-mode: horizontal-tb; ">7.</span> ᠬᠣᠭᠣᠷᠣᠨᠳᠣ ᠪᠠᠨ ᠳᠠᠪᠬᠤᠴᠠᠬᠤ ᠵᠦᠢᠯ ᠦᠳ ᠬᠣᠭᠣᠷᠣᠨᠳᠣ ᠪᠠᠨ ᠲᠡᠩᠴᠡᠭᠦᠦ | <span style="writing-mode: horizontal-tb; ">7.</span> ᠬᠣᠭᠣᠷᠣᠨᠳᠣ ᠪᠠᠨ ᠳᠠᠪᠬᠤᠴᠠᠬᠤ ᠵᠦᠢᠯ ᠦᠳ ᠬᠣᠭᠣᠷᠣᠨᠳᠣ ᠪᠠᠨ ᠲᠡᠩᠴᠡᠭᠦᠦ ᠪᠠᠶ᠋ᠢᠨᠠ᠃ (ᠳᠠᠪᠬᠤᠴᠠᠬᠤ ᠭᠡᠳᠡᠭ ᠨᠢ ᠬᠣᠭᠣᠷᠣᠨᠳᠣ ᠪᠠᠨ ᠶᠠᠭ ᠠᠳᠠᠯᠢ ᠭᠡᠰᠡᠨ ᠤᠳᠬᠠ ᠲᠠᠢ)<br> | ||
<span style="writing-mode: horizontal-tb; ">8.</span> ᠪᠦᠬᠦᠯᠢ ᠨᠢ ᠬᠡᠰᠡᠭ ᠡᠴᠡ ᠪᠡᠨ ᠶᠡᠬᠡ | <span style="writing-mode: horizontal-tb; ">8.</span> ᠪᠦᠬᠦᠯᠢ ᠨᠢ ᠬᠡᠰᠡᠭ ᠡᠴᠡ ᠪᠡᠨ ᠶᠡᠬᠡ ᠪᠠᠶ᠋ᠢᠨᠠ᠃<br> | ||
<span style="writing-mode: horizontal-tb; ">9.</span> ᠬᠣᠶᠠᠷ ᠰᠢᠯᠤᠭᠤᠨ ᠤ ᠬᠣᠭᠣᠷᠣᠨᠳᠣ ᠣᠷᠣᠨ ᠵᠠᠢ ᠬᠢᠵᠠᠭᠠᠷᠯᠠᠭᠳᠠᠳᠠᠭ ᠦᠭᠡᠢ᠃<ref>[https://infourok.ru/prezentaciya-evklidova-geometriya-klass-1332117.html К.Лохматова, Н.Степанова. Презентация "Евклидова геометрия" (7 класс)]. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/02/09</ref><ref name=":0">[http://www.inggu.ru/upload/lectures/%D0%9E%D0%A1%D0%9D%D0%9E%D0%92%D0%90%D0%9D%D0%98%D0%95%20%D0%93%D0%95%D0%9E%D0%9C%D0%95%D0%A2%D0%A0%D0%98%D0%98.pdf Н.Г.Подаева, Д.А.Жук. Лекции по основаниям геометрии. Елецкий Государственный Университет им. И.А.Бунина. Елец 2005]. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/02/09</ref> | <span style="writing-mode: horizontal-tb; ">9.</span> ᠬᠣᠶᠠᠷ ᠰᠢᠯᠤᠭᠤᠨ ᠤ ᠬᠣᠭᠣᠷᠣᠨᠳᠣ ᠣᠷᠣᠨ ᠵᠠᠢ ᠬᠢᠵᠠᠭᠠᠷᠯᠠᠭᠳᠠᠳᠠᠭ ᠦᠭᠡᠢ᠃<ref>[https://infourok.ru/prezentaciya-evklidova-geometriya-klass-1332117.html К.Лохматова, Н.Степанова. Презентация "Евклидова геометрия" (7 класс)]. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/02/09</ref><ref name=":0">[http://www.inggu.ru/upload/lectures/%D0%9E%D0%A1%D0%9D%D0%9E%D0%92%D0%90%D0%9D%D0%98%D0%95%20%D0%93%D0%95%D0%9E%D0%9C%D0%95%D0%A2%D0%A0%D0%98%D0%98.pdf Н.Г.Подаева, Д.А.Жук. Лекции по основаниям геометрии. Елецкий Государственный Университет им. И.А.Бунина. Елец 2005]. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/02/09</ref> | ||
<br><br> | <br><br> | ||
| 61-р мөр: | 61-р мөр: | ||
ᠡᠳᠦᠭᠡ ᠶᠡᠷᠦᠩᠬᠡᠢ ᠪᠣᠯᠪᠠᠰᠤᠷᠠᠯ ᠤᠨ ᠰᠤᠷᠭᠠᠭᠤᠯᠢ ᠳ᠋ᠤ ᠴᠤᠬᠤᠮ ᠧᠦ᠋ᠻ᠊ᠯᠢᠳ᠋ ᠦᠨ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ ᠦᠵᠡᠵᠦ᠂ ᠰᠤᠳᠤᠯᠵᠤ᠂ ᠮᠠᠲ᠋ᠾᠧᠮᠠᠲ᠋ᠢᠻ᠂ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ ᠦᠨ ᠠᠩᠬᠠᠨ ᠤ ᠮᠡᠳᠡᠭᠳᠡᠬᠦᠨ ᠣᠯᠵᠤ᠂ ᠤᠴᠢᠷ ᠰᠢᠯᠲᠠᠭᠠᠨ᠂ ᠯᠣᠭᠢᠻ ᠰᠡᠳᠬᠢᠯᠭᠡ᠂ ᠨᠣᠲᠠᠯᠠᠬᠤᠢ ᠠᠷᠭ ᠠ᠋ ᠤᠬᠠᠭᠠᠨ ᠳ᠋ᠤ ᠰᠤᠷᠤᠯᠴᠠᠳᠠᠭ᠃ | ᠡᠳᠦᠭᠡ ᠶᠡᠷᠦᠩᠬᠡᠢ ᠪᠣᠯᠪᠠᠰᠤᠷᠠᠯ ᠤᠨ ᠰᠤᠷᠭᠠᠭᠤᠯᠢ ᠳ᠋ᠤ ᠴᠤᠬᠤᠮ ᠧᠦ᠋ᠻ᠊ᠯᠢᠳ᠋ ᠦᠨ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ ᠦᠵᠡᠵᠦ᠂ ᠰᠤᠳᠤᠯᠵᠤ᠂ ᠮᠠᠲ᠋ᠾᠧᠮᠠᠲ᠋ᠢᠻ᠂ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ ᠦᠨ ᠠᠩᠬᠠᠨ ᠤ ᠮᠡᠳᠡᠭᠳᠡᠬᠦᠨ ᠣᠯᠵᠤ᠂ ᠤᠴᠢᠷ ᠰᠢᠯᠲᠠᠭᠠᠨ᠂ ᠯᠣᠭᠢᠻ ᠰᠡᠳᠬᠢᠯᠭᠡ᠂ ᠨᠣᠲᠠᠯᠠᠬᠤᠢ ᠠᠷᠭ ᠠ᠋ ᠤᠬᠠᠭᠠᠨ ᠳ᠋ᠤ ᠰᠤᠷᠤᠯᠴᠠᠳᠠᠭ᠃ | ||
ᠡᠨᠡ ᠬᠦ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ ᠡᠩ ᠦᠨ ᠠᠮᠢᠳᠤᠷᠠᠯ ᠳ᠋ᠤ ᠪᠦᠬᠦᠢ ᠯᠡ ᠰᠠᠯᠪᠤᠷᠢ ᠳ᠋ᠤ ᠬᠡᠷᠡᠭᠯᠡᠭᠳᠡᠵᠦ ᠪᠠᠢᠢᠨ ᠠ᠋᠃ | |||
ᠵᠢᠱᠢᠶ ᠡ᠋ | ᠵᠢᠱᠢᠶ ᠡ᠋ ᠨᠢ᠂ ᠬᠠᠮᠢᠭ ᠠ᠋ ᠭᠠᠵᠠᠷ ᠬᠡᠮᠵᠢᠵᠦ ᠲᠠᠯᠠᠪᠠᠢ ᠢᠢᠨ ᠬᠡᠮᠵᠢᠶ ᠡ᠋ ᠢᠢ ᠣᠯᠬᠤ ᠬᠡᠷᠡᠭ ᠲᠠᠢ ᠪᠠᠢᠢᠨ ᠠ᠋᠂ ᠬᠠᠮᠢᠭ ᠠ᠋ ᠪᠠᠷᠠᠭ ᠠ᠋ ᠡᠳ᠋ ᠶᠠᠭᠤᠮᠠᠰ ᠤᠨ ᠡᠵᠡᠯᠡᠬᠦᠨ ᠢ ᠬᠡᠮᠵᠢᠵᠦ ᠲᠣᠭᠠᠴᠠᠭᠠᠯᠬᠤ ᠬᠡᠷᠡᠭ ᠲᠡᠢ ᠪᠠᠢᠢᠨ ᠠ᠋᠂ ᠲᠡᠷᠡ ᠪᠦᠷᠢ ᠳᠦ ᠧᠦ᠋ᠻ᠊ᠯᠢᠳ᠋ ᠦᠨ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ ᠠᠵᠢᠯᠯᠠᠵᠤ ᠪᠠᠢᠢᠨ ᠠ᠋᠃ | ||
ᠠᠯᠢᠪᠠ ᠮᠠᠱᠢᠨ | ᠠᠯᠢᠪᠠ ᠮᠠᠱᠢᠨ ᠮᠧᠻᠠᠨᠢᠰᠮ᠂ ᠭᠠᠵᠠᠷ ᠤᠨ ᠵᠢᠷᠤᠭ᠂ ᠣᠳᠤᠨ ᠣᠷᠤᠨ ᠲᠡᠷᠢᠭᠦᠲᠡᠨ ᠪᠦᠭᠦᠳᠡ ᠳ᠋ᠦ ᠶᠠᠭᠤᠨ ᠤ ᠡᠮᠦᠨ ᠡ᠋ ᠰᠣᠩᠭᠤᠳᠠᠭ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ ᠬᠡᠷᠡᠭ ᠲᠤᠰᠠ ᠪᠠᠨ ᠡᠷᠭᠦᠵᠦ ᠪᠠᠢᠢᠨ ᠠ᠋᠃<ref>[https://www.apxu.ru/article/geoforma/hi/zna4enie_geometrii.htm Значение геометрии]. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/03/17</ref> | ||
ᠮᠢᠩᠭ ᠠ᠋ ᠮᠢᠩᠭᠠᠨ ᠵᠢᠯ ᠦᠨ | ᠮᠢᠩᠭ ᠠ᠋ ᠮᠢᠩᠭᠠᠨ ᠵᠢᠯ ᠦᠨ ᠤᠷᠤᠰᠬᠠᠯ ᠳ᠋ᠤ ᠬᠦᠷᠢᠶᠡᠯᠡᠨ ᠪᠤᠢ ᠶᠢᠷᠲᠢᠨᠴᠦ ᠢᠢᠨ ᠲᠤᠬᠠᠢ ᠬᠦᠮᠦᠨ ᠲᠥᠷᠦᠯᠬᠢᠲᠡᠨ ᠦ ᠣᠢᠢᠯᠠᠭᠠᠯᠲᠤ᠂ ᠲᠥᠰᠦᠭᠡᠯᠡᠯ ᠭᠦᠨᠵᠡᠭᠡᠢᠢᠷᠡᠬᠦ ᠶᠠᠪᠤᠴᠠ ᠳ᠋ᠤ ᠧᠦ᠋ᠻ᠊ᠯᠢᠳ᠋ ᠦᠨ ᠪᠤᠰᠤ ᠰᠢᠨ ᠡ᠋ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ ᠦᠨ ᠰᠢᠰᠲ᠋ᠧᠮ ᠦᠳ ᠡᠭᠦᠰᠴᠦ ᠬᠥᠭᠵᠢᠭᠰᠡᠨ ᠪᠢᠯᠡ᠃ | ||
<br><br> | <br><br> | ||
==ᠨᠡᠷ ᠡ᠋ ᠲᠣᠮᠢᠶᠠᠯᠠᠯ== | ==ᠨᠡᠷ ᠡ᠋ ᠲᠣᠮᠢᠶᠠᠯᠠᠯ== | ||
| 87-р мөр: | 87-р мөр: | ||
ᠭᠤᠷᠪᠠᠯᠵᠢᠨ - triangle - треугольник<br> | ᠭᠤᠷᠪᠠᠯᠵᠢᠨ - triangle - треугольник<br> | ||
ᠪᠥᠮᠪᠦᠷᠴᠡᠭ - sphere - сфера<br> | ᠪᠥᠮᠪᠦᠷᠴᠡᠭ - sphere - сфера<br> | ||
ᠬᠡᠮᠵᠢᠭᠳᠡᠬᠦᠨ - dimension - измерение<br> | ᠬᠡᠮᠵᠢᠭᠳᠡᠬᠦᠨ - dimension - измерение<br> | ||
ᠢᠯᠡᠳᠲᠡ ᠦᠨᠡᠨ - axioma - аксиома <br> | ᠢᠯᠡᠳᠲᠡ ᠦᠨᠡᠨ - axioma - аксиома <br> | ||