| | ᠷᠠᠰᠢᠶᠠᠨ ᠬᠤᠳᠡ ᠪᠣᠯ ᠤᠯᠤᠰ ᠤᠨ ᠲᠤᠳᠤᠭᠠᠳᠤ ᠶᠢᠨ ᠨᠡᠷᠡᠲᠤ ᠵᠢᠭᠤᠯᠴᠢᠯᠠᠯ ᠤᠨ ᠤᠷᠤᠨ ᠮᠦᠨ᠃ 5A | ᠲᠡᠰ ᠤᠨ ᠦᠵᠡᠮᠵᠢ ᠶᠢᠨ ᠣᠷᠣᠨ ᠳᠤ ᠤᠯᠠᠨ ᠵᠢᠯ ᠠᠵᠢᠯᠯᠠᠬᠰᠠᠨ ︽ᠴᠠᠰᠤᠲᠤ ᠬᠤᠲᠠ ᠶᠢᠨ ᠵᠢᠷᠤᠮ ᠤᠨ ᠴᠠᠭᠳᠠᠭᠠ︾ | ᠯᠢᠦ ᠹᠧᠩ ᠯᠢ᠄ ︽ᠷᠠᠰᠢᠶᠠᠨ ᠤ ᠳᠥᠷᠪᠡᠨ ᠤᠯᠠᠷᠢᠯ ᠤᠨ ᠦᠵᠡᠮᠵᠢ ᠭᠤᠶᠤ ᠰᠠᠶᠢᠬᠠᠨ᠂ ᠵᠢᠭᠤᠯᠴᠢᠯᠠᠬᠰᠠᠳ ᠣᠯᠠᠨ | ᠂ ᠪᠢᠳᠡᠨ ᠤ ᠮᠦᠷᠦᠨ ᠳᠡᠭᠡᠷᠡᠬᠢ ᠡᠭᠦᠷᠭᠡ ᠶᠡᠷᠦ ᠠᠴᠠ ᠬᠦᠨᠳᠦ︾ ᠭᠡᠵᠦ ᠶᠠᠷᠢᠨᠠ᠃ ᠨᠢᠳᠤᠨᠤᠨ ᠤ 12 ᠰᠠᠷᠠ ᠳᠤ᠂ | ᠷᠠᠰᠢᠶᠠᠨ ᠤ ᠮᠥᠰᠥ ᠴᠠᠰᠤᠨ ᠤ ᠨᠠᠶᠢᠷ ᠤᠨ ᠠᠵᠢᠯᠯᠠᠭᠠ ᠶᠢᠨ ᠠᠬᠤᠢ ᠲᠠᠯᠠᠪᠠᠢ ᠳᠤ᠂ ᠯᠢᠦ ᠹᠧᠩ ᠯᠢ ᠬᠢᠷᠢᠨ | ᠨᠤᠲᠤᠭᠲᠠᠶ ᠵᠢᠭᠤᠯᠴᠢᠯᠠᠬᠴᠢ ᠸᠠᠩ ᠨᠠᠰᠤᠳᠠᠨ ᠤ ᠲᠤᠰᠠᠯᠠᠮᠵᠢ ᠶᠢ ᠲᠤᠰᠪᠠ᠃ ᠸᠠᠩ ᠨᠠᠰᠤᠳᠠᠨ ᠭᠠᠷ ᠤᠳᠠᠰᠤ ᠰᠠᠶᠢᠨ | ᠬᠡᠷᠡᠭᠯᠡᠵᠦ ᠴᠢᠳᠠᠬᠤ ᠦᠭᠡᠢ ᠠᠴᠠ ᠵᠢᠭᠤᠯᠴᠢᠯᠠᠯ ᠤᠨ ᠪᠦᠯᠬᠦᠮ ᠤᠨ ᠵᠠᠮᠴᠢᠯᠠᠭᠴᠢ ᠲᠠᠢ ᠪᠠᠨ ᠬᠠᠷᠢᠯᠴᠠᠵᠤ ᠳᠡᠶᠢᠯᠬᠦ | ᠦᠭᠡᠢ ᠪᠤᠯᠵᠠᠢ᠃ ᠯᠢᠦ ᠹᠧᠩ ᠯᠢ ᠲᠠᠷᠦ᠋ᠢᠬᠠᠨ ᠨᠠᠰᠤᠲᠠᠨ ᠤ ᠭᠠᠷ ᠤᠲᠠᠰᠤ ᠪᠠᠷ ᠵᠢᠭᠤᠯᠴᠢᠯᠠᠯ ᠤᠨ ᠪᠦᠯᠬᠦᠮ ᠤᠨ | ᠵᠠᠮᠴᠢᠯᠠᠭᠴᠢ ᠲᠠᠢ ᠬᠠᠷᠢᠯᠴᠠᠵᠤ᠂ ᠨᠠᠰᠤᠲᠠᠨ ᠢ ᠬᠡᠯᠡᠯᠴᠡᠨ ᠲᠣᠭᠲᠠᠭᠰᠠᠨ ᠭᠠᠵᠠᠷ ᠲᠤ ᠬᠦᠷᠭᠡᠪᠡ᠃ ᠵᠢᠭᠤᠯᠴᠢᠯᠠᠯ ᠤᠨ | ᠪᠦᠯᠬᠦᠮ ᠢᠶᠠᠨ ᠣᠯᠤᠭᠰᠠᠨ ᠤ ᠳᠠᠷᠠᠭᠠ᠂ ᠸᠠᠩ ᠨᠠᠰᠤᠳᠠᠨ᠄ ︽ᠷᠠᠰᠢᠶᠠᠨ ᠤ ᠦᠵᠡᠮᠵᠢ ᠨᠢ ᠭᠤᠶᠤ᠂ ᠷᠠᠰᠢᠶᠠᠨ ᠤ | ᠬᠥᠮᠦᠨ ᠨᠠᠩ ᠰᠠᠨᠠᠭᠠ ᠰᠠᠶᠢᠳᠠᠢ︾ ᠭᠡᠵᠦ ᠰᠡᠳᠬᠢᠯ ᠲᠤᠬᠳᠤᠯᠤᠨ ᠬᠡᠯᠡᠨᠠ᠃ ︽ᠴᠠᠰᠤᠲᠤ ᠬᠤᠲᠠ ᠶᠢᠨ | ᠵᠢᠷᠤᠮ ᠤᠨ ᠴᠠᠭᠳᠠᠭᠠ︾ ᠳᠤ ᠡᠶᠢᠮᠦᠷᠬᠦᠤ ᠵᠢᠵᠢᠭ ᠰᠡᠵᠢᠬ ᠶᠠᠪᠤᠳᠠᠯ ᠤᠯᠠᠨ ᠲᠤᠬᠢᠶᠠᠯᠳᠤᠨᠠ᠃ ︽ | ᠵᠢᠭᠤᠯᠴᠢᠯᠠᠬᠰᠠᠳ᠂ ᠬᠤᠳᠠ ᠶᠢᠨ ᠠᠷᠠᠳ ᠲᠤ ᠲᠤᠰᠠᠯᠠᠮᠵᠢ ᠦᠵᠡᠬᠦᠯᠪᠡᠯ ᠮᠠᠰᠢ ᠪᠠᠶᠠᠷ ᠲᠠᠢ ᠰᠠᠨᠠᠬᠳᠠᠨᠠ᠂ ︿ | ᠴᠠᠰᠤᠲᠤ ᠬᠤᠳᠠ ᠶᠢᠨ ᠵᠢᠷᠤᠮ ᠤᠨ ᠴᠠᠭᠳᠠᠭᠠ﹀ ᠠᠷᠠᠳ ᠲᠦᠮᠡᠨ ᠳᠤ ᠦᠢᠯᠡᠴᠢᠯᠡᠨᠠ︾ ᠭᠡᠵᠤ ᠯᠢᠤ ᠹᠸᠡᠭ ᠯᠢ | ᠪᠤᠳᠤᠯ ᠢᠶᠠᠨ ᠲᠡᠯᠬᠡᠨᠠ᠃ ︽ᠴᠢ ᠲᠡᠷᠭᠡ ᠪᠠᠨ ᠵᠤᠬᠰᠤᠭᠠᠪᠠᠯ ᠪᠢ ᠵᠠᠮ ᠢ ᠴᠢᠨᠢ ᠪᠦᠭᠯᠡᠨᠠ︕︾ ᠡᠨᠡ ᠵᠢᠯ ᠤᠨ | ᠬᠤᠶᠠᠳᠤᠭᠠᠷ ᠰᠠᠷᠠ ᠶᠢᠨ ᠦᠶᠠ ᠪᠠᠷ᠂ ᠷᠠᠰᠢᠶᠠᠨ ᠬᠤᠲᠠ ᠶᠢᠨ ᠲᠢᠶᠠᠨ ᡂᠢ ᠪᠠᠯᠭᠠᠰᠤᠨ ᠤ ᠨᠢᠭᠡᠨ ᠪᠠᠭᠤᠳᠠᠯ ᠤᠨ | ᠡᠮᠦᠨᠠ᠂ ᠬᠤᠶᠠᠷ ᠵᠢᠯᠤᠭᠤᠴᠢ ᠲᠡᠷᠭᠡᠨ ᠵᠣᠭᠰᠣᠭᠠᠯ ᠪᠤᠯᠢᠶᠠᠯᠳᠤᠨ ᠬᠠᠰᠬᠢᠷᠠᠭᠠᠳ ᠭᠠᠷ ᠬᠦᠳᠡᠯᠬᠦ ᠰᠢᠬᠠᠵᠤ᠂ ᠮᠠᠰᠢ | ᠤᠯᠠᠨ ᠵᠢᠭᠤᠯᠴᠢᠯᠠᠬᠴᠢ ᠴᠤᠬᠯᠠᠷᠠᠪᠠ᠃ ᠵᠢᠷᠤᠮ ᠤᠨ ᠴᠠᠭᠳᠠᠭᠠ ᠮᠤᠩ ᠹᠠᠨ ᠴᠢᠩ ᠣᠯᠵᠤ ᠦᠵᠡᠭᠰᠡᠨ ᠤ ᠳᠠᠷᠠᠭᠠ᠂ | ᠬᠤᠶᠠᠷ ᠵᠢᠯᠤᠭᠤᠴᠢ ᠶᠢ ᠢᠳᠬᠠᠬᠤ ᠳᠤ ᠬᠡᠨ ᠠᠯᠢᠨ ᠨᠢ ᠨᠠᠶᠢᠷ ᠲᠠᠯᠪᠢᠬᠤ ᠦᠭᠡᠢ᠃ ᠬᠡᠷᠡᠭ ᠤᠴᠢᠷ | ᠬᠡᠴᠡᠭᠦᠳᠡᠬᠦ ᠠᠴᠠ ᠵᠠᠶᠢᠯᠠᠰᠭᠢᠬᠦ ᠶᠢᠨ ᠲᠥᠯᠥᠭᠡ᠂ ᠮᠧᠩ ᠹᠠᠨ ᠴᠢᠩ ᠳᠠᠷᠦ᠋ᠢᠬᠠᠨ ᠲᠢᠶᠠᠨ ᠤᠤᠢ ᠬᠢᠯᠢ ᠶᠢᠨ | ᠲᠣᠮᠢᠯᠠᠭᠰᠠᠨ ᠰᠠᠯᠪᠤᠷᠢ ᠳᠤ ᠮᠡᠳᠡᠭᠳᠡᠪᠡ᠃ ᠠᠷᠠᠳ ᠤᠨ ᠴᠠᠭᠳᠠᠭᠠ ᠲᠤᠬᠠᠶ ᠶᠢᠨ ᠲᠠᠯᠠᠪᠠᠶ ᠳᠤ ᠭᠦᠷᠦᠭᠰᠡᠨ ᠤ ᠳᠠᠷᠠᠭᠠ | ᠮᠤᠩ ᠹᠠᠨ ᠴᠢᠩ ᠲᠠᠢ ᠬᠠᠮᠲᠤ ᠵᠢᠯᠤᠭᠤᠴᠢ ᠶᠢ ᠢᠳᠬᠠᠬᠤ ᠶᠢᠨ ᠬᠠᠮᠲᠤ ᠡᠷᠬᠢᠨ ᠲᠣᠭᠤᠷᠢᠨ ᠠᠴᠠ ᠲᠡᠷᠭᠡᠨ | ᠵᠣᠭᠰᠣᠭᠠᠯ ᠡᠷᠢᠵᠤ᠂ ᠲᠡᠷᠭᠡ ᠵᠣᠭᠰᠣᠬᠤ ᠠᠰᠠᠭᠤᠳᠠᠯ ᠢ ᠰᠢᠢᠳᠪᠦᠷᠢᠯᠡᠵᠦ᠂ ᠵᠦᠷᠢᠴᠡᠯ ᠰᠢᠷᠦᠭᠦᠰᠬᠦ ᠠᠴᠠ | ᠵᠠᠶᠢᠯᠠᠰᠬᠢᠪᠠ᠃ ᠤᠷᠢᠳᠴᠢᠯᠠᠨ ᠰᠡᠷᠭᠡᠶᠢᠯᠡᠬᠦ ᠠᠵᠢᠯ ᠢ ᠰᠠᠨᠠᠭᠠᠴᠢᠯᠠᠭᠠ ᠲᠠᠢ ᠪᠦᠳᠦᠮᠵᠢᠳᠡᠢ ᠬᠢᠵᠦ᠂ ᠵᠥᠷᠢᠴᠡᠯ ᠢ | ᠴᠢᠷᠮᠠᠶᠢᠨ ᠨᠠᠮᠳᠠᠭᠤᠯᠵᠤ᠂ ᠵᠢᠭᠤᠷᠠᠯᠳᠤᠭᠠᠨ ᠢ ᠲᠤᠬᠠᠢ ᠶᠢᠨ ᠭᠠᠵᠠᠷ ᠲᠤᠨᠢ ᠰᠢᠢᠳᠪᠦᠷᠢᠯᠡᠨᠠ᠂ ᠡᠨᠡ ᠪᠣᠯ ︽ᠴᠠᠰᠤᠲᠤ | ᠬᠤᠳᠠ ᠶᠢᠨ ᠵᠢᠷᠤᠮ ᠤᠨ ᠴᠠᠭᠳᠠᠭᠠ︾ ᠶᠢᠨ ᠴᠠᠭᠳᠠᠭᠠᠨ ᠤ ᠶᠠᠪᠤᠳᠠᠯ ᠢ ᠤᠷᠢᠳᠴᠢᠯᠠᠨ ᠰᠡᠷᠭᠡᠶᠢᠯᠡᠬᠦ ᠬᠦᠴᠦᠨ ᠪᠦᠬᠦᠢ | ᠦᠢᠯᠡᠳᠦᠯᠭᠡ ᠪᠣᠯᠤᠨᠠ᠃ ︽ᠴᠠᠰᠤᠲᠤ ᠬᠤᠲᠠ ᠶᠢᠨ ᠵᠢᠷᠤᠮ ᠤᠨ ᠴᠠᠭᠳᠠᠭᠠ︾ ᠶᠢᠨ ᠲᠢᠶᠠᠨ ᡂᠢ ᠬᠤᠪᠢᠶᠠᠷᠢ | ᠨᠡᠶᠢᠭᠡᠮᠯᠢᠭ ᠲᠤ 3 ᠰᠠᠯᠠᠭᠠ ︽ᠵᠢᠷᠤᠮ ᠤᠨ ᠴᠠᠭᠳᠠᠭᠠ ᠶᠢᠨ ᠲᠣᠭᠤᠷᠢᠨ ᠴᠠᠭᠳᠠᠬᠤ ᠠᠩᠭᠢ︾ ᠪᠠᠶᠢᠵᠤ᠂ ︽1 | ᠨᠡᠶᠢᠭᠡᠮ ᠲᠣᠭᠤᠷᠢᠭ ᠤᠨ ᠠᠷᠠᠳ ᠤᠨ ᠴᠠᠭᠳᠠᠭᠠ + 1 ᠵᠢᠷᠤᠮ ᠤᠨ ᠴᠠᠭᠳᠠᠭᠠ ᠶᠢᠨ ᠲᠣᠭᠤᠷᠢᠨ ᠴᠠᠭᠳᠠᠬᠤ ᠠᠩᠭᠢ︾ | ᠶᠢᠨ ᠠᠷᠭᠠ ᠬᠡᠯᠪᠡᠷᠢ ᠶᠢ ᠠᠪᠴᠤ᠂ ᠬᠠᠷᠢᠶᠠᠲᠤ ᠣᠷᠣᠨ ᠤ ᠬᠥᠮᠦᠨ ᠬᠠᠷᠠ ᠴᠤᠬᠯᠠᠷᠠᠬᠰᠠᠨ ᠣᠷᠣᠨ ᠪᠦᠰᠡ ᠳᠤ | ᠲᠣᠭᠤᠷᠢᠨ ᠴᠠᠭᠳᠠᠬᠤ ᠰᠡᠷᠭᠡᠶᠢᠯᠡᠨ ᠡᠵᠡᠮᠳᠡᠬᠦ ᠠᠵᠢᠯ ᠢ ᠥᠷᠨᠢᠭᠦᠯᠪᠡ᠃ ᠡᠭᠦᠨ ᠠᠴᠠ ᠭᠠᠳᠠᠨᠠ᠂ ᠲᠣᠭᠤᠷᠢᠨ | ᠴᠠᠭᠳᠠᠬᠤ ᠠᠩᠭᠢ ᠪᠦᠷᠢ ᠳᠤ 5 ᠲᠤᠰᠬᠠᠶ ᠪᠤᠶᠤ ᠲᠤᠰᠢᠶᠠᠯ ᠬᠠᠪᠰᠤᠷᠭᠠᠭᠰᠠᠨ ᠡᠶᠡᠳᠡᠭᠦᠯᠦᠭᠴᠢ ᠲᠣᠬᠢᠷᠠᠭᠤᠯᠵᠤ᠂ | ᠠᠵᠢᠯ ᠤᠨ ᠳᠤᠮᠳᠠ ᠪᠠᠨ ︽ᠠᠷᠠᠳ ᠤᠨ ᠴᠠᠭᠳᠠᠭᠠ + ᠵᠢᠷᠤᠮ ᠤᠨ ᠴᠠᠭᠳᠠᠭᠠ︾ ᠶᠢᠨ ᠠᠵᠢᠯ ᠤᠨ ᠠᠷᠭᠠ ᠶᠢ | ᠬᠡᠷᠡᠭᠵᠢᠭᠦᠯᠵᠦ᠂ ᠵᠢᠷᠤᠮ ᠤᠨ ᠴᠠᠭᠳᠠᠭᠠ ᠶᠢᠨ ︽ᠬᠥᠮᠦᠨ ᠢ ᠲᠠᠨᠢᠬᠤ᠂ ᠭᠠᠵᠠᠷ ᠢ ᠮᠡᠳᠡᠬᠦ᠂ ᠪᠠᠶᠢᠳᠠᠯ ᠢ ᠤᠶᠢᠯᠠᠭᠠᠬᠤ︾ | ᠳᠠᠪᠠᠭᠤᠯᠢᠭ ᠪᠤᠯᠤᠨ ᠠᠷᠠᠳ ᠤᠨ ᠴᠠᠭᠳᠠᠭᠠ ᠶᠢᠨ ︽ᠬᠠᠤᠯᠢ ᠶᠢ ᠮᠡᠳᠡᠬᠦ᠂ ᠲᠥᠷᠥ ᠶᠢᠨ ᠪᠣᠳᠣᠯᠭᠠ ᠶᠢ | ᠲᠠᠶᠢᠯᠪᠤᠷᠢᠯᠠᠬᠤ᠂ ᠡᠶᠡᠳᠡᠭᠦᠯᠵᠦ ᠴᠢᠳᠠᠬᠤ︾ ᠳᠠᠪᠠᠭᠤᠯᠢᠭ ᠲᠠᠢ ᠤᠶᠠᠯᠳᠤᠭᠤᠯᠵᠤ᠂ ︽︵1 + 1﹀ 2︾ ᠦᠷᠡ | ᠪᠦᠲᠦᠮᠵᠢ ᠳᠤ ᠬᠦᠷᠪᠡ᠃ | | |