ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠬᠠᠨᠢ ᠶᠢᠨ ᠠᠰᠠᠷᠠᠮᠵᠢ ᠯᠣ᠋᠂ ᠰᠢᠷᠠᠴᠢᠨ , ᠴᠢᠨ᠋᠊ ᠤᠠ᠋ ᠡᠸᠦ᠋ᠷᠦᠫᠡ᠂ ᠠᠽᠢᠶ᠎ᠠ᠂ ᠤᠮᠠᠷᠠᠳᠤ ᠠᠮᠤᠷᠢᠺᠠ᠂ ᠲᠤᠮᠳᠠᠳᠤ ᠠᠮᠤᠷᠢᠺᠠ ᠶᠢᠨ ᠤᠯᠠᠨ ᠤᠯᠤᠰ ᠣᠷᠤᠨ ᠲᠤ ᠲᠠᠷᠬᠠᠵᠤ ᠪᠤᠢ᠃ , ᠴᠢᠨ᠋᠊ ᠤᠠ᠋ ᠤᠢ ᠰᠢᠭᠤᠢ᠂ ᠬᠡᠭᠡᠷ᠎ᠡ ᠲᠠᠯ᠎ᠠ᠂ ᠠᠭᠤᠯᠠ ᠳᠣᠪᠤ ᠵᠡᠷᠭᠡ ᠪᠠᠯᠠᠷ ᠪᠠᠷᠳᠠᠭ᠎ᠠ ᠲᠠᠢ ᠭᠠᠵᠠᠷ ᠣᠷᠤᠰᠢᠨ ᠪᠠᠶᠢᠷᠢᠯᠠᠵᠤ ᠪᠠᠶᠢᠳᠠᠬ᠃ ᠴᠢᠨ᠋᠊ ᠤᠠ᠋ ᠭᠤᠤᠯᠳᠠᠭᠤ ᠮᠢᠬ᠎ᠠ ᠢᠳᠡᠳᠡᠭ᠂ ᠵᠡᠭᠡᠷ᠎ᠡ ᠲᠠᠤᠯᠠᠢ᠂ ᠬᠤᠯᠤᠭᠠᠨ᠎ᠠ ᠶᠢᠨ ᠲ

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠳᠡᠮᠳᠡᠭᠯᠡᠨ ᠳᠤᠭᠠᠴᠢᠭᠰᠠᠨ ᠵᠣᠬᠢᠶᠠᠯ ᠢ ᠬᠡᠷᠬᠢᠨ ᠪᠢᠴᠢᠬᠦ ᠲᠤᠬᠠᠢ , ᠳᠡᠮᠳᠡᠭᠯᠡᠨ ᠳᠤᠭᠠᠴᠢᠭᠰᠠᠨ ᠵᠣᠬᠢᠶᠠᠯ ᠤᠨ ᠤᠬᠠᠭᠳᠠᠬᠤᠨ , ᠳᠡᠮᠳᠡᠭᠯᠡᠨ ᠳᠤᠭᠠᠴᠢᠭᠰᠠᠨ ᠵᠣᠬᠢᠶᠠᠯ ᠬᠡᠳᠡᠭ ᠨᠢ ᠳᠡᠮᠳᠡᠭᠯᠡᠨ ᠳᠤᠭᠠᠴᠢᠬᠤ ᠪᠠᠷ ᠭᠤᠣᠯ ᠢᠯᠡᠳᠭᠡᠬᠦ ᠠᠷᠭ᠎ᠠ ᠪᠠᠷᠢᠯ ᠪᠣᠯᠭᠠᠵᠤ᠂ ᠬᠥᠮᠦᠨ ᠢ ᠪᠢᠴᠢᠨ᠂ ᠬᠡᠷᠡᠭ ᠶᠠᠪᠤᠳᠠᠯ ᠢ ᠳᠤᠭᠠᠴᠢᠳᠠᠭ ᠵᠣᠬᠢᠶᠠᠯ ᠢ ᠬᠡᠯᠡᠨ᠎ᠡ᠃ ᠳᠡᠮᠳᠡᠭᠯᠡᠨ ᠳᠤᠭᠠᠴᠢᠭᠰᠠᠨ ᠵᠣᠬᠢᠶᠠᠯ ᠤᠨ ᠬᠡᠪᠴᠢᠶ᠎ᠠ ᠥᠷᠭᠡᠨ

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠲᠣᠭᠠᠨ ᠤ ᠤᠬᠠᠭᠠᠨ,ᠨᠠᠢ᠍ᠮᠠᠳ᠋ᠤᠭᠠᠷ ᠤᠨ ᠤ ᠲᠡᠬᠡᠳ᠋ᠤ ᠲᠡᠪᠳ᠋ᠡᠷ,ᠠᠯᠪᠠᠨ ᠵᠢᠷᠤᠮ ᠦᠨ ᠰᠤᠷᠭᠠᠨ ᠬᠥᠮᠦᠵᠢᠯ ᠦᠨ ᠬᠢᠴᠢᠶᠡᠯ ᠦᠨ ᠪᠠᠷᠢᠮᠵᠢᠶ᠎ᠠ ᠶᠢᠨ ᠲᠤᠷᠰᠢᠯᠳ᠋ᠠ ᠶᠢᠨ ᠰᠤᠷᠬᠤ ᠪᠢᠴᠢᠭ,ᠬᠢᠴᠢᠶᠡᠯᠯᠡᠭᠴᠢ᠄ ᠬᠠᠰᠪᠤᠶᠠᠨᠳᠤ QQ᠄ 544941735 ᠨᠠᠢᠲᠡ ᠶᠢᠨ ᠳᠠᠪᠴᠠᠩ᠄,1221 ᠭᠤᠷᠪᠠᠯᠵᠢᠨ ᠪᠦᠷᠢᠨ ᠲᠡᠩᠴᠡᠬᠦᠦ ᠪᠣᠯᠬᠤ ᠶᠢᠨ ᠮᠠᠭᠠᠳᠯᠠᠯᠲᠠ 1,ᠰᠤᠷᠬᠤ ᠬᠠᠷᠠᠯᠳ᠋ᠠ᠄,1 ᠰᠦᠪᠡᠭᠴᠢᠯᠡᠯᠳ᠋ᠡ ᠪᠡᠷ ᠲᠠᠮᠵᠢᠨ ᠪᠥᠷᠢ

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠲᠣᠭᠠᠨ ᠤ ᠤᠬᠠᠭᠠᠨ , ᠨᠠᠢᠮᠠᠳᠤᠭᠠᠷ ᠤᠨ ᠤ ᠲᠡᠬᠡᠳᠤ ᠲᠡᠪᠳᠡᠷ , ᠠᠯᠪᠠᠨ ᠵᠢᠷᠤᠮ ᠦᠨ ᠰᠤᠷᠭᠠᠨ ᠬᠥᠮᠦᠵᠢᠯ ᠦᠨ ᠬᠢᠴᠢᠶᠡᠯ ᠦᠨ ᠪᠠᠷᠢᠮᠵᠢᠶ᠎ᠠ ᠶᠢᠨ ᠲᠤᠷᠰᠢᠯᠳᠠ ᠶᠢᠨ ᠰᠤᠷᠬᠤ ᠪᠢᠴᠢᠭ , ᠬᠢᠴᠢᠶᠡᠯᠯᠡᠭᠴᠢ᠄ ᠬᠠᠰᠪᠤᠶᠠᠨᠳᠤ QQ᠄ 544941735 ᠨᠠᠢᠲᠡ ᠶᠢᠨ ᠳᠠᠪᠴᠠᠩ᠄ ,1211 ᠪᠦᠷᠢᠨ ᠲᠡᠩᠴᠡᠬᠦᠦ ᠭᠤᠷᠪᠠᠯᠵᠢᠨ , ᠰᠤᠷᠬᠤ ᠬᠠᠷᠠᠯᠳᠠ᠄ ,,1 ᠪᠥᠷᠢᠨ ᠲᠡᠩᠴᠡᠭᠦᠦ ᠭᠤᠷᠪᠠᠯᠵᠢᠨ ᠤ ᠤᠬᠠᠠᠠᠳᠠᠬᠤᠨ᠂ ᠪᠥᠷᠢᠨ ᠲᠡᠩᠴᠡᠭᠦ

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠡᠰᠢᠯᠡᠵᠤ ᠳᠠᠢᠯᠪᠦᠷᠢᠯᠠᠬᠤ ᠠᠷᠭ᠎ᠠ ᠵᠦᠢᠷᠯᠠᠵᠤ ᠳᠠᠢᠯᠪᠦᠷᠢᠯᠠᠬᠤ ᠠᠷᠭ᠎ᠠ ᠬᠠᠷᠢᠴᠠᠭᠤᠯᠵᠤ ᠳᠠᠢᠯᠪᠦᠷᠢᠯᠠᠬᠤ ᠠᠷᠭ᠎ᠠ ᠲᠣᠭ᠎ᠠ ᠪᠠᠷᠢᠮᠳᠠ ᠪᠡᠷ ᠳᠠᠢᠯᠪᠦᠷᠢᠯᠠᠬᠤ ᠠᠷᠭ᠎ᠠ ᠵᠢᠱᠢᠶᠠᠯᠠᠵᠤ ᠳᠠᠢᠯᠪᠦᠷᠢᠯᠠᠬᠤ ᠠᠷᠭ᠎ᠠ ᠬᠤᠶᠠᠷ᠄ ᠳᠠᠢᠯᠪᠦᠷᠢᠯᠠᠬᠤ ᠠᠷᠭ᠎ᠠ ᠶᠢ ᠠᠰᠢᠭᠯᠠᠭᠰᠠᠨ ᠳᠤᠬᠠᠢ ᠲᠡᠦᠬᠡ ᠵᠢ ᠳᠠᠢᠯᠪᠦᠷᠢᠯᠠᠬᠤ ᠳᠤ ᠪᠠᠨ ᠴᠠᠭ ᠤᠨ ᠳᠠᠷᠠᠭᠠᠯᠠᠯ ᠢᠶᠡᠷ ᠪᠠᠢᠷᠢᠰᠢᠭᠤᠯᠵᠠᠢ᠃ ᠬᠡᠰᠡᠭ ᠲᠠᠯ᠎ᠠ ᠳᠠᠢᠰᠢ ᠳᠠᠢᠯᠪᠦᠷᠢᠯᠡᠵᠡᠢ᠃ ᠬ

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠨᠤᠳᠤᠭ ᠤᠨ ᠨᠣᠭᠤᠭᠠᠨ ᠳᠤᠷᠠᠰᠤᠮᠵᠢ .pptx ﹇ ᠳᠡᠯᠭᠡᠷᠡᠩᠭᠦᠢ ﹈

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠮᠢᠨᠤ ᠪᠠᠭᠰᠢ ᠠᠷᠳᠠᠢ , ᠰᠤᠷᠬᠤ ᠬᠠᠷᠠᠯᠲᠠ᠄ ⒈ ᠲᠤᠰ ᠰᠢᠯᠦᠭ ᠢ ᠪᠡᠶ᠎ᠡ ᠪᠠᠨ ᠲᠠᠭᠠᠭᠠᠵᠤ ᠤᠡᠭᠰᠢᠨ ᠰᠣᠨᠢᠷᠬᠠᠵᠤ ᠴᠡᠭᠡᠵᠢᠯᠡᠨ᠎ᠡ᠃ ⒉ ᠦᠵᠡᠮᠵᠢ᠂ ᠦᠵᠡᠭᠳᠡᠯ᠂ ᠰᠡᠳᠭᠢᠯᠭᠡ ᠶᠢ ᠠᠭᠤᠰᠤᠯᠳᠤᠭᠤᠯᠤᠭᠰᠠᠨ ᠪᠠ ᠬᠡᠯᠡᠯᠭᠡ ᠤᠷᠤᠰᠤᠮ᠎ᠠ ᠢᠷᠠᠭᠤ᠂ ᠠᠢᠵᠠᠮ ᠴᠣᠬᠢᠯᠭ᠎ᠠ ᠲᠠᠢ ᠵᠡᠷᠭᠡ ᠪᠢᠴᠢᠯᠭᠡ ᠶᠢᠨ ᠠᠷᠭ᠎ᠠ ᠠᠴᠠ ᠰᠤᠷᠴᠤ ᠡᠵᠡᠮᠰᠢᠨ᠎ᠡ᠃ ⒊ ᠲᠤᠰ ᠰᠢᠯᠦᠭ ᠦᠨ ᠡᠯᠪᠡᠭ ᠪᠠᠶᠠᠯᠢᠭ ᠬᠤᠯᠪᠤᠨ ᠪᠣᠳᠤᠯᠲᠠ ᠶᠢ ᠰᠤᠷᠴᠤ ᠡᠵᠡᠮᠰᠢᠨ᠎ᠡ᠃

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ 2᠂ ᠲᠠᠰᠢᠶ᠎ᠠ ᠪᠢᠴᠢᠯᠭᠡ ᠶᠢ ᠨᠢ ᠵᠠᠯᠠᠷᠠᠭᠤᠯᠤᠭᠠᠷᠠᠢ᠃ ᠬᠠᠢᠷᠠᠬᠠᠳ\sᠬᠠᠢᠷᠬᠠᠳ ᠤᠷᠤᠰᠤᠬᠠᠯᠳᠤ\sᠤᠷᠤᠰᠬᠠᠯᠳᠤ ᠲᠠᠯᠠ\sᠲᠠᠯ᠎ᠠ ᠬᠠᠢᠷ\sᠬᠠᠢᠷ᠎ᠠ ᠡᠨᠢᠷᠢᠯᠳᠤ\sᠡᠨᠡᠷᠢᠯᠳᠤ ,3᠂ ᠳᠠᠷᠠᠭᠠᠬᠢ ᠦᠭᠡᠰ ᠲᠤ ᠤᠳᠭ᠎ᠠ ᠣᠢᠷᠠᠯᠴᠠᠭ᠎ᠠ ᠦᠭᠡ ᠶᠢ ᠨᠢ ᠬᠤᠶᠠᠷ ᠠᠴᠠ ᠳᠡᠭᠡᠭᠰᠢ ᠡᠷᠢᠵᠤ ᠪᠢᠴᠢᠭᠡᠷᠡᠢ᠃ ᠪᠤᠳᠤᠬᠤ\sᠰᠡᠳᠭᠢᠬᠦ᠂ ᠰᠠᠨᠠᠬᠤ ᠰᠢᠭᠦᠮᠵᠢᠯᠡᠬᠦ\sᠪᠤᠷᠤᠭᠤᠰᠢᠶᠠᠬᠤ᠂ ᠥᠭᠦᠯᠡᠬᠦ᠂ ᠠᠨᠳᠠᠭᠤᠷᠠᠬᠤ\sᠠᠳᠡᠭᠦᠷᠡᠬᠦ᠂

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ,, ᠳᠠᠰᠭᠠᠯ ᠶᠢᠰᠦ ᠮᠡᠳᠡᠯᠭᠡ ᠶᠢᠨ ᠪᠠᠳᠤᠳᠬᠠᠯ 1᠂ ᠰᠣᠩᠭᠤᠬᠤ ᠰᠡᠳᠤᠪ ① ᠳᠠᠷᠠᠭᠠᠬᠢ ᠬᠡᠯᠡᠯᠭᠡ ᠠᠴᠠ ᠳᠠᠰᠢᠶ᠎ᠠ ᠪᠣᠯᠬᠤ ᠨᠢ ︵D︶ A ᠣᠨᠤᠯᠳᠠ ᠬᠡᠳᠡᠭ ᠨᠢ ᠰᠢᠭᠦᠮᠵᠢ ᠵᠣᠬᠢᠶᠠᠯ ᠳᠠᠬᠢ ᠵᠣᠬᠢᠶᠠᠭᠴᠢ ᠶᠢᠨ ᠶᠠᠷᠢᠵᠤ ᠢᠯᠡᠳᠭᠡᠬᠦ ᠬᠡᠰᠡᠨ ᠦᠵᠡᠯᠳᠡ ᠪᠣᠯᠤᠨ᠎ᠠ᠃ B ᠣᠨᠤᠯᠳᠠ ᠶᠢ ᠳᠤᠷᠠᠳᠤᠭᠰᠠᠨ ᠰᠢᠯᠳᠠᠭᠠᠨ ᠪᠤᠶᠤ ᠦᠨᠳᠤᠰᠤᠯᠠᠯ ᠢ ᠪᠠᠷᠢᠮᠳᠠ ᠬᠡᠳᠡᠭ᠃ C ᠨᠤᠳᠠᠯᠠᠯᠳᠠ ᠬᠢᠬᠦ ᠬᠡᠳᠡᠭ ᠨᠢ ᠣᠨᠤᠯᠳᠠ ᠪᠠ ᠪᠠᠷᠢᠮᠳᠠ ᠶᠢ

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠳᠠᠰᠭᠠᠯ ᠳᠣᠯᠤᠭ᠎ᠠ ᠮᠡᠳᠡᠯᠭᠡ ᠶᠢᠨ ᠪᠠᠳᠤᠳᠬᠠᠯ 1᠂ ᠰᠣᠩᠭᠤᠬᠤ ᠰᠡᠳᠤᠪ ① ᠵᠥᠪ ᠭᠠᠯᠢᠭᠯᠠᠭᠰᠠᠨ ᠨᠢ ︵B︶ A ᠭᠠᠷᠠᠭ\s1 ᠦᠶ᠎ᠡ ᠪᠠᠷ ᠤᠩᠰᠢᠨ᠎ᠠ᠃ B ᠵᠤᠯ\s4 ᠦᠶ᠎ᠡ ᠪᠠᠷ ᠤᠩᠰᠢᠨ᠎ᠠ᠃ C ᠬᠢᠮᠠᠭᠠᠳᠠᠬᠤ\s3 ᠦᠶ᠎ᠡ ᠪᠠᠷ ᠤᠩᠰᠢᠨ᠎ᠠ᠃ D ᠬᠠᠯᠠᠭᠠᠰᠤᠨ\s1 ᠦᠶ᠎ᠡ ᠪᠠᠷ ᠤᠷᠳᠤᠳᠬᠠᠵᠤ ᠤᠩᠰᠢᠨ᠎ᠠ᠃ ② ᠠᠳᠠᠯᠢ ᠨᠢᠭᠡᠨ ᠲᠠᠢᠨ ᠢᠯᠭᠠᠯ ᠤᠨ ᠬᠤᠪᠢᠯᠦᠯ ᠤᠨ ᠬᠡᠯᠪᠡᠷᠢ ᠪᠠᠷ ᠪᠠᠢᠭ᠎ᠠ ᠦᠭᠡᠰ ᠤᠨ ᠪᠦᠯᠦᠭ ᠨᠢ᠄ ︵B︶ A ᠬᠤ

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠳᠠᠰᠭᠠᠯ ᠲᠠᠪᠤ ᠮᠡᠳᠡᠯᠭᠡ ᠶᠢᠨ ᠪᠠᠳᠤᠳᠬᠠᠯ 1᠂ ᠰᠣᠩᠭᠤᠬᠤ ᠰᠡᠳᠤᠪ ① ᠲᠠᠰᠢᠶᠠᠷᠠᠭᠰᠠᠨ ᠬᠡᠯᠡᠯᠭᠡ ᠪᠣᠯᠬᠤ ᠨᠢ᠄ ︵D︶ A᠂ ᠪᠣᠭᠤᠨᠢ ᠡᠭᠡᠰᠢᠭ ᠪᠣᠯᠤᠨ ᠤᠷᠳᠤ ᠡᠭᠡᠰᠢᠭ ᠨᠢ ᠶᠠᠷᠢᠶᠠᠨ ᠤ ᠬᠡᠯᠡᠨ ᠲᠤ ᠤᠳᠭ᠎ᠠ ᠢᠯᠭᠠᠬᠤ ᠦᠢᠯᠡᠳᠤᠯ ᠲᠠᠢ ᠪᠠᠢᠳᠠᠭ᠃ B᠂ ᠨᠢᠭᠡ ᠦᠶ᠎ᠡ ᠲᠤ ᠤᠭᠰᠠᠷᠠᠨ ᠣᠷᠤᠭᠰᠠᠨ ᠬᠤᠶᠠᠷ ᠥᠭᠡᠷ᠎ᠡ ᠡᠭᠡᠰᠢᠭ ᠢ ᠬᠤᠣᠰ ᠡᠭᠡᠰᠢᠭ ᠬᠡᠳᠡᠭ᠃ C᠂ ᠮᠣᠩᠭᠤᠯ ᠬᠡᠯᠡᠨ ᠤ ᠥᠭᠡ ᠶᠢᠨ ᠨᠢᠬᠡᠳᠤᠬᠡᠷ ᠦᠶ᠎ᠡ ᠶᠢᠨ ᠡᠭᠡᠰ

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄     ,  ,        ,1             ,            ,           

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄        1935 10                                       

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ PNBSP︔ ᠮᠣᠩᠭᠤᠯ ᠹᠢᠯᠢᠮ ᠤᠨ ᠳᠡᠪᠢᠰᠭᠡᠷ ᠵᠢᠷᠤᠭ /P

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ 914 ᠲᠡᠩᠴᠡᠳᠭᠡᠯ ᠪᠤᠰᠤ ᠶᠢᠨ ᠰᠢᠨᠵᠢ ᠴᠢᠨᠠᠷ ᠤᠨ ᠥᠷᠭᠡᠳᠭᠡᠯ ᠪᠠ ᠰᠥᠪᠡᠭᠴᠢᠯᠡᠯ,ᠬᠡᠷᠪᠡ 𝑎𝑏 ᠪᠣᠯ᠂ ᠳᠠᠷᠭᠠᠠᠬᠢ ᠲᠡᠩᠴᠡᠳᠭᠡᠯ ᠪᠤᠰᠤ ᠠᠴᠠ ᠪᠠᠢᠭᠤᠯᠤᠭᠳᠠᠬᠤ ᠨᠢ\s,ᠬᠠᠷᠠᠭᠠᠯᠵᠠᠭᠰᠠᠨ ᠪᠣᠯᠪᠠᠰᠤᠷᠠᠯ ᠄,𝐴 𝑎 𝑐 2 𝑏 𝑐 2,𝐵 𝑎− 𝑐 2 𝑏− 𝑐 2,𝐶 𝑎 𝑐 2 𝑏 𝑐 2,𝐷 𝑎 𝑐 2 1 𝑏 𝑐 2 1,ᠬᠡᠷᠪᠡ 𝑎𝑏 ᠪᠣᠯ᠂ ᠳᠠᠷᠭᠠᠠᠬᠢ ᠲᠡᠩᠴᠡᠳᠭᠡᠯ ᠪᠤᠰᠤ ᠠᠴ