ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ 84 ᠭᠤᠷᠪᠠᠨ ᠥᠯᠥ ᠮᠡᠳᠡᠭᠳᠡᠭᠴᠢᠳᠡᠢ ᠨᠢᠭᠡᠳᠤᠭᠡᠷ ᠵᠡᠷᠭᠡ ᠶᠢᠨ ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠦᠨ ᠪᠥᠯᠥᠭ ᠦᠨ ᠪᠣᠳᠣᠬᠤ ᠠᠷᠭ᠎ᠠ,ᠰᠤᠷᠬᠤ ᠬᠠᠷᠠᠯᠳ᠋ᠠ ᠄,1ᠭᠤᠷᠪᠠᠨ ᠦᠯᠦ ᠮᠡᠳ᠋ᠡᠭ᠍ᠳ᠋ᠡᠭᠴᠢᠳ᠋ᠡᠢ ᠨᠢᠬᠡᠳ᠋ᠦᠬᠡᠷ ᠵᠡᠷᠭᠡ ᠶᠢᠨ ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠤᠨ ᠪᠦᠯᠦᠭ᠌ ᠤᠨ ᠤᠬᠠᠠᠠᠳ᠋ᠠᠬᠤᠨ ᠢ ᠤᠢᠯᠠᠭᠠᠵᠤ ᠮᠡᠳ᠋ᠡᠭᠦ ᠃ 2 ᠬᠢᠯᠪᠠᠷ ᠭᠤᠷᠪᠠᠨ ᠦᠯᠦ ᠮᠡᠳ᠋ᠡᠭ᠍ᠳ᠋ᠡᠭᠴᠢᠳ᠋ᠡᠢ ᠨᠢᠬᠡᠳ᠋ᠦᠬᠡᠷ ᠵᠡᠷᠭᠡ ᠶᠢᠨ ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠤᠨ ᠪᠦᠯᠦᠭ᠌ ᠢ ᠪᠤᠳ᠋ᠤᠵᠤ

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ 833 ᠪᠤᠳ᠋ᠠᠳ᠋ᠠᠢ ᠠᠰᠠᠭᠤᠳ᠋ᠠᠯ ᠪᠠ ᠬᠤᠶᠠᠷ ᠦᠯᠦ ᠮᠡᠳ᠋ᠡᠭ᠍ᠳ᠋ᠡᠭᠴᠢᠳ᠋ᠡᠢ ᠨᠢᠭᠡᠳᠤᠭᠡᠷ ᠵᠡᠷᠭᠡ ᠶᠢᠨ ᠲᠡᠭ᠍ᠰᠢᠳᠬᠡᠯ ᠤᠨ ᠪᠦᠯᠦᠭ᠌,1 ᠪᠤᠳ᠋ᠠᠳ᠋ᠠᠢ ᠠᠰᠠᠭᠤᠳ᠋ᠠᠯ ᠤᠨ ᠲᠤᠭ᠎᠎ᠠ ᠪᠠ ᠬᠡᠮᠵᠢᠭ᠍ᠳ᠋ᠡᠬᠦᠨ ᠦ ᠨᠢᠭᠤᠴᠠ ᠵᠢ ᠢᠯᠡᠷᠡᠭᠦᠯᠵᠦ ᠬᠥᠰᠥᠨᠥᠭᠵᠢᠬᠦᠯᠦᠨ ᠰᠢᠢᠳᠪᠦᠷᠢᠯᠡᠵᠦ ᠴᠢᠳ᠋ᠠᠬᠤ ᠃ 2 ᠬᠤᠶᠠᠷ ᠦᠯᠦ ᠮᠡᠳ᠋ᠡᠭ᠍ᠳ᠋ᠡᠭᠴᠢᠳ᠋ᠡᠢ ᠨᠢᠬᠡᠳ᠋ᠦᠬᠡᠷ ᠵᠡᠷᠭᠡ ᠶᠢᠨ ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠤᠨ ᠪᠦᠯᠦᠭ᠌ ᠢᠶᠡᠷ ᠠᠰᠠᠭᠤ

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ 832 ᠪᠤᠳ᠋ᠠᠳ᠋ᠠᠢ ᠠᠰᠠᠭᠤᠳ᠋ᠠᠯ ᠪᠠ ᠬᠤᠶᠠᠷ ᠦᠯᠦ ᠮᠡᠳ᠋ᠡᠭ᠍ᠳ᠋ᠡᠭᠴᠢᠳ᠋ᠡᠢ ᠨᠢᠭᠡᠳᠤᠭᠡᠷ ᠵᠡᠷᠭᠡ ᠶᠢᠨ ᠲᠡᠭ᠍ᠰᠢᠳᠬᠡᠯ ᠤᠨ ᠪᠦᠯᠦᠭ᠌,ᠠ᠂ ᠡ ᠬᠣᠶᠠᠷ ᠵᠦᠢᠯ ᠦᠨ ᠲᠠᠷᠢᠮᠠᠯ ᠤᠨ ᠨᠢᠭᠡᠴᠢ ᠲᠠᠯᠠᠪᠠᠢ ᠶᠢᠨ ᠤᠨᠠᠯᠲᠠ ᠶᠢᠨ ᠬᠠᠷᠢᠴᠠᠯ ᠨᠢ 12 ᠪᠣᠯᠣᠨ᠎ᠠ᠃ ᠣᠳᠣ ᠤᠷᠳᠤ ᠨᠢ 200𝑚᠂ ᠥᠷᠭᠡᠨ ᠨᠢ 100𝑚 ᠪᠣᠯᠬᠤ ᠨᠢᠭᠡ ᠭᠡᠰᠡᠭ ᠤᠷᠳᠤ ᠳᠥᠷᠪᠡᠯᠵᠢᠨ ᠬᠡᠯᠪᠡᠷᠢᠲᠠᠢ ᠭᠠᠵᠠᠷ ᠢ ᠬᠣᠶᠠᠷ ᠭᠡᠰᠡᠭ ᠵᠢᠵᠢᠭ ᠤᠷᠲᠤ ᠳ

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ 831 ᠪᠤᠳ᠋ᠠᠳ᠋ᠠᠢ ᠠᠰᠠᠭᠤᠳ᠋ᠠᠯ ᠪᠠ ᠬᠤᠶᠠᠷ ᠦᠯᠦ ᠮᠡᠳ᠋ᠡᠭ᠍ᠳ᠋ᠡᠭᠴᠢᠳ᠋ᠡᠢ ᠨᠢᠭᠡᠳᠤᠭᠡᠷ ᠵᠡᠷᠭᠡ ᠶᠢᠨ ᠲᠡᠭ᠍ᠰᠢᠳᠬᠡᠯ ᠤᠨ ᠪᠦᠯᠦᠭ᠌,1 ᠬᠤᠶᠠᠷ ᠦᠯᠦ ᠮᠡᠳ᠋ᠡᠭ᠍ᠳ᠋ᠡᠭᠴᠢᠳ᠋ᠡᠢ ᠨᠢᠭᠡᠳᠤᠭᠡᠷ ᠵᠡᠷᠭᠡ ᠶᠢᠨ ᠲᠡᠭ᠍ᠰᠢᠳᠬᠡᠯ ᠤᠨ ᠪᠦᠯᠦᠭ᠌ ᠢᠶᠡᠷ ᠪᠤᠳ᠋ᠤᠯᠢᠶᠠᠨᠳ᠋ᠠᠢ ᠪᠤᠳ᠋ᠠᠳ᠋ᠠᠢ ᠠᠰᠠᠭᠤᠳ᠋ᠠᠯ ᠢ ᠰᠢᠢᠳᠪᠦᠷᠢᠯᠡᠵᠦ ᠴᠢᠳ᠋ᠠᠬᠤ ᠃ 2 ᠪᠤᠳ᠋ᠤᠯᠭ᠎᠎ᠠ ᠶᠢᠨ ᠳ᠋ᠦᠩ ᠢᠶᠡᠷ ᠲᠠᠮᠵᠢᠨ ᠪᠤᠳ᠋ᠠᠳ᠋ᠠᠢ ᠠᠰᠠᠭᠤᠳᠠᠯ ᠳ᠋ᠡ

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠳᠣᠯᠤᠳᠤᠭᠠᠷ ᠣᠨᠳᠣᠣᠷᠠᠳᠤ ᠳᠡᠪᠲᠡᠷ ,ᠬᠠᠰᠪᠤᠶᠠᠨᠳᠤ,826 ᠬᠣᠶᠠᠷ ᠥᠯᠥ ᠮᠡᠳᠡᠭᠳᠡᠭᠴᠢᠳᠡᠢ ᠨᠢᠭᠡᠳᠤᠭᠡᠷ ᠵᠡᠷᠭᠡ ᠶᠢᠨ ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠦᠨ ᠪᠥᠯᠥᠭ ᠢ ᠪᠣᠳᠣᠬᠤ ᠠᠷᠭ᠎ᠠ,ᠰᠥᠪᠡᠭᠴᠢᠯᠡᠯ 2,ᠬᠠᠷᠠᠭᠠᠯᠵᠠᠭᠰᠠᠨ ᠪᠣᠯᠪᠠᠰᠤᠷᠠᠯ,𝑥2 𝑦1,2𝑥 𝑚−1 𝑦2 𝑛𝑥𝑦1,ᠬᠠᠷᠠᠭᠠᠯᠵᠠᠭᠰᠠᠨ ᠪᠣᠯᠪᠠᠰᠤᠷᠠᠯ,2𝑥𝑦6 KX𝑘−1𝑦𝑘−2,𝑥−𝑦3,ᠬᠠᠷᠠᠭᠠᠯᠵᠠᠭᠰᠠᠨ ᠪᠣᠯᠪᠠᠰᠤᠷᠠᠯ,𝑥

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠳᠣᠯᠤᠳᠤᠭᠠᠷ ᠣᠨᠳᠣᠣᠷᠠᠳᠤ ᠳᠡᠪᠲᠡᠷ ,ᠬᠠᠰᠪᠤᠶᠠᠨᠳᠤ,825 ᠬᠣᠶᠠᠷ ᠥᠯᠥ ᠮᠡᠳᠡᠭᠳᠡᠭᠴᠢᠳᠡᠢ ᠨᠢᠭᠡᠳᠤᠭᠡᠷ ᠵᠡᠷᠭᠡ ᠶᠢᠨ ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠦᠨ ᠪᠥᠯᠥᠭ ᠢ ᠪᠣᠳᠣᠬᠤ ᠠᠷᠭ᠎ᠠ,7 𝑥−3𝑦 4 2𝑥− 𝑦5 3 10 𝑥−𝑦 −4 1−𝑥 3 𝑦,ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠦᠨ ᠪᠦᠯᠦᠭ᠌,ᠢ ᠪᠤᠳ᠋ᠤ ᠃,①,②,ᠰᠥᠪᠡᠭᠴᠢᠯᠡᠯ 1,ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠦᠨ ᠪᠦᠯᠦᠭ᠌,ᠢ ᠪᠤᠳ᠋ᠤ ᠃,①,②,2𝑥𝑦 3 −21− 𝑥−𝑦 2 3 2 𝑥− 2 3 𝑦

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠳᠣᠯᠤᠳᠤᠭᠠᠷ ᠣᠨᠳᠣᠣᠷᠠᠳᠤ ᠳᠡᠪᠲᠡᠷ ,ᠬᠠᠰᠪᠤᠶᠠᠨᠳᠤ,824 ᠬᠣᠶᠠᠷ ᠥᠯᠥ ᠮᠡᠳᠡᠭᠳᠡᠭᠴᠢᠳᠡᠢ ᠨᠢᠭᠡᠳᠤᠭᠡᠷ ᠵᠡᠷᠭᠡ ᠶᠢᠨ ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠦᠨ ᠪᠥᠯᠥᠭ ᠢ ᠪᠣᠳᠣᠬᠤ ᠠᠷᠭ᠎ᠠ,① 2𝑥−𝑦3 𝑥2𝑦4,② 𝑥−𝑦12 4𝑥3𝑦8,③ 𝑥𝑦2 5𝑥−2𝑦7,ᠪᠣᠯᠪᠠᠰᠤᠷᠠᠯ ᠪᠠᠲᠤᠳᠬᠠᠯ,ᠳᠠᠷᠠᠭᠠᠬᠢ ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠦᠨ ᠪᠥᠯᠥᠭ ᠢ ᠵᠣᠬᠢᠰᠲᠠᠢ ᠠᠷᠭ᠎ᠠ ᠪᠠᠷ ᠪᠣᠳᠣ᠃,① 5𝑥7𝑦17 3𝑥14𝑦20,② 𝑥

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠠᠯᠪᠠᠨ ᠵᠢᠷᠤᠮ ᠤᠨ ᠰᠤᠷᠭᠠᠨ ᠬᠦᠮᠦᠵᠢᠯ ᠦᠨ ᠰᠤᠷᠬᠤ ᠪᠢᠴᠢᠭ,ᠳᠣᠯᠣᠳᠤᠭᠠᠷ ᠣᠨ ᠳᠣᠣᠷᠠᠳᠤ,ᠬᠢᠴᠢᠶᠡᠯᠯᠡᠭᠴᠢ᠄ ᠬᠠᠰᠪᠤᠶᠠᠨᠲᠤ,822 ᠨᠡᠮᠡᠵᠤ ᠬᠠᠰᠤᠬᠤ ᠠᠷᠭ᠎ᠠ ᠪᠠᠷ ᠬᠣᠶᠠᠷ ᠥᠯᠥ ᠮᠡᠳᠡᠭᠳᠡᠭᠴᠢᠳᠡᠢ ᠨᠢᠭᠡᠳᠤᠭᠡᠷ ᠵᠡᠷᠭᠡ ᠶᠢᠨ ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠦᠨ ᠪᠥᠯᠥᠭ ᠢ ᠪᠣᠳᠣᠬᠤ,1 ᠨᠡᠮᠡᠵᠥ ᠬᠠᠰᠤᠬᠤ ᠤᠰᠠᠳᠬᠠᠬᠤ ᠠᠷᠭ᠎᠎ᠠ ᠪᠠᠷ ᠬᠤᠶᠠᠷ ᠦᠯᠥ ᠮᠡᠳ᠋ᠡᠭ᠍ᠳ᠋ᠡᠭᠴᠢᠳ᠋ᠡᠢ ᠨᠢᠭᠡᠳᠤᠭᠡᠷ ᠵᠡᠷᠭᠡ ᠶᠢᠨ ᠲᠡᠭᠰᠢᠳᠭᠡᠯ

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠠᠯᠪᠠᠨ ᠵᠢᠷᠤᠮ ᠤᠨ ᠰᠤᠷᠭᠠᠨ ᠬᠦᠮᠦᠵᠢᠯ ᠦᠨ ᠰᠤᠷᠬᠤ ᠪᠢᠴᠢᠭ,ᠳᠣᠯᠣᠳᠤᠭᠠᠷ ᠣᠨ ᠳᠣᠣᠷᠠᠳᠤ,ᠬᠢᠴᠢᠶᠡᠯᠯᠡᠭᠴᠢ᠄ ᠬᠠᠰᠪᠤᠶᠠᠨᠲᠤ,822 ᠣᠷᠣᠯᠠᠭᠤᠯᠤᠨ ᠤᠰᠠᠳᠬᠠᠬᠤ ᠠᠷᠭ᠎ᠠ ᠪᠠᠷ ᠬᠣᠶᠠᠷ ᠥᠯᠥ ᠮᠡᠳᠡᠭᠳᠡᠭᠴᠢᠳᠡᠢ ᠨᠢᠭᠡᠳᠤᠭᠡᠷ ᠵᠡᠷᠭᠡ ᠶᠢᠨ ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠦᠨ ᠪᠥᠯᠥᠭ ᠢ ᠪᠣᠳᠣᠬᠤ,ᠵᠢᠱᠢᠶ᠎᠎ᠡ ᠄ ᠵᠠᠬ᠎᠎ᠠ ᠳᠡᠯᠭᠡᠭᠦᠷ ᠦᠨ ᠪᠠᠢᠴᠠᠭᠠᠯᠳ᠋ᠠ ᠵᠢ ᠦᠨᠳ᠋ᠦᠰᠦᠯᠡᠪᠡᠯ᠂ ᠨᠢᠬᠡᠨ ᠵᠦ᠋ᠢᠯ ᠤᠨ ᠠᠷᠢᠭᠤᠳᠬᠠᠬᠤ ᠡᠮ ᠢ ᠶᠡᠬᠡ

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠠᠯᠪᠠᠨ ᠵᠢᠷᠤᠮ ᠤᠨ ᠰᠤᠷᠭᠠᠨ ᠬᠦᠮᠦᠵᠢᠯ ᠦᠨ ᠰᠤᠷᠬᠤ ᠪᠢᠴᠢᠭ,ᠳᠣᠯᠣᠳᠤᠭᠠᠷ ᠣᠨ ᠳᠣᠣᠷᠠᠳᠤ,ᠬᠢᠴᠢᠶᠡᠯᠯᠡᠭᠴᠢ᠄ ᠬᠠᠰᠪᠤᠶᠠᠨᠲᠤ,821 ᠣᠷᠣᠯᠠᠭᠤᠯᠤᠨ ᠤᠰᠠᠳᠬᠠᠬᠤ ᠠᠷᠭ᠎ᠠ ᠪᠠᠷ ᠬᠣᠶᠠᠷ ᠥᠯᠥ ᠮᠡᠳᠡᠭᠳᠡᠭᠴᠢᠳᠡᠢ ᠨᠢᠭᠡᠳᠤᠭᠡᠷ ᠵᠡᠷᠭᠡ ᠶᠢᠨ ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠦᠨ ᠪᠥᠯᠥᠭ ᠢ ᠪᠣᠳᠣᠬᠤ,1 ᠦᠯᠦ ᠮᠡᠳ᠋ᠡᠭ᠍ᠳ᠋ᠡᠭᠴᠢ ᠵᠢ ᠤᠰᠠᠳᠬᠠᠬᠤ ᠦᠵᠡᠯ ᠰᠠᠨ᠋ᠠᠭ᠎᠎ᠠ ᠵᠢ ᠠᠩᠬ᠎᠎ᠠ ᠠᠯᠬᠤᠮ ᠤᠢᠯᠠᠭᠠᠬᠤ ᠃ 2 ᠤᠷᠤᠯᠠᠭᠤᠯᠬᠤ ᠠᠷᠭ᠎᠎

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠠᠯᠪᠠᠨ ᠵᠢᠷᠤᠮ ᠤᠨ ᠰᠤᠷᠭᠠᠨ ᠬᠦᠮᠦᠵᠢᠯ ᠦᠨ ᠰᠤᠷᠬᠤ ᠪᠢᠴᠢᠭ,ᠳᠣᠯᠣᠳᠤᠭᠠᠷ ᠣᠨ ᠳᠣᠣᠷᠠᠳᠤ,,,ᠬᠢᠴᠢᠶᠡᠯᠯᠡᠭᠴᠢ᠄ ᠬᠠᠰᠪᠤᠶᠠᠨᠳᠤ,814 ᠬᠤᠶᠠᠷ ᠦᠯᠦ ᠮᠡᠳᠡᠭᠳᠡᠭᠴᠢᠳᠡᠢ ᠨᠢᠭᠡᠳᠤᠭᠡᠷ ᠵᠡᠷᠭᠡ ᠶᠢᠨ ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠦᠨ ᠪᠦᠯᠦᠭ,ᠥᠷᠭᠡᠳᠭᠡᠨ ᠰᠦᠪᠡᠭᠴᠢᠯᠡᠬᠦ᠄,ᠭᠡᠷᠪᠠ 𝑥 2𝑚−1 5 𝑦 3𝑛−2𝑚 7 ᠬᠤᠶᠠᠷ ᠦᠯᠤ ᠮᠡᠳ᠋ᠡᠭᠳ᠋ᠡᠭᠴᠢᠳ᠋ᠡᠢ ᠨᠢᠭᠡᠳ᠋ᠤᠭᠡᠷ ᠵᠡᠷᠭᠡ ‍ᠢᠢᠨ ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠪᠤᠯ 𝑚 ______ ᠂ 𝑛 _

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠠᠯᠪᠠᠨ ᠵᠢᠷᠤᠮ ᠤᠨ ᠰᠤᠷᠭᠠᠨ ᠬᠦᠮᠦᠵᠢᠯ ᠦᠨ ᠰᠤᠷᠬᠤ ᠪᠢᠴᠢᠭ,ᠳᠣᠯᠣᠳᠤᠭᠠᠷ ᠣᠨ ᠳᠣᠣᠷᠠᠳᠤ,,,ᠬᠢᠴᠢᠶᠡᠯᠯᠡᠭᠴᠢ᠄ ᠬᠠᠰᠪᠤᠶᠠᠨᠳᠤ,813 ᠬᠤᠶᠠᠷ ᠦᠯᠦ ᠮᠡᠳᠡᠭᠳᠡᠭᠴᠢᠳᠡᠢ ᠨᠢᠭᠡᠳᠤᠭᠡᠷ ᠵᠡᠷᠭᠡ ᠶᠢᠨ ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠤᠨ ᠪᠦᠯᠦᠭ ᠤᠨ ᠬᠠᠷᠢᠭᠤ,ᠠᠰᠠᠭᠤᠳᠠᠯ 1,︽ᠳᠠᠬᠢᠶ᠎ᠠ ᠲᠠᠤᠯᠠᠢ︾ ᠶᠢᠨ ᠣᠶᠤᠨ ᠤ ᠰᠡᠲᠤᠪ,𝑥𝑦12,𝑥,𝑦,1,2,3,05,32,1 2,,11,10,9,115,88,,11 1 2,ᠬᠣᠶᠠᠷ ᠥᠯᠥ ᠮᠡᠳᠡᠭᠳᠡᠭ

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ 81 ᠬᠤᠶᠠᠷ ᠥᠯᠥ ᠮᠡᠳ᠋ᠡᠭ᠍ᠳ᠋ᠡᠭᠴᠢᠳ᠋ᠡᠢ ᠨᠢᠬᠡᠳ᠋ᠤᠬᠡᠷ ᠵᠡᠷᠬᠡ ᠶᠢᠨ ᠲᠡᠭ᠍ᠰᠢᠳᠬᠡᠯ ᠤᠨ ᠪᠦᠯᠦᠭ,ᠰᠡᠳᠬᠢᠬᠥ ᠄,ᠰᠠᠭᠰᠤᠨ ᠪᠥ᠋ᠮᠪᠤᠬᠡ ᠶᠢᠨ ᠬᠤᠯᠪᠤᠭᠠᠳ᠋ᠤ ᠤᠷᠤᠯᠳ᠋ᠤᠭᠠᠨ ᠳ᠋ᠤ ᠂ ᠲᠠᠯᠠᠪᠤᠷ ᠪᠦᠷᠢ ᠶᠢᠨ ᠤᠷᠤᠯᠳ᠋ᠤᠭᠠᠨ ᠳ᠋ᠤ ᠴᠥ᠋ᠮ ᠢᠯᠠᠵᠤ ᠢᠯᠠᠭᠳ᠋ᠠᠬᠤ ᠶᠢ ᠢᠯᠭᠠᠷᠠᠭᠤᠯᠵᠤ ᠂ ᠠᠩᠬᠢ ᠪᠥ᠋ᠷᠢ 1 ᠲᠠᠯᠠᠪᠤᠷ ᠢᠯᠠᠪᠠᠯ 2 ᠬᠤᠪᠢ ᠤᠯᠭᠤᠵᠤ ᠂ 1ᠲᠠᠯᠠᠪᠤᠷ ᠢᠯᠠᠭᠳ᠋ᠠᠪᠠᠯ 1 ᠬᠤᠪᠢ ᠤᠯᠭᠤᠨ᠎᠎ᠠ ᠃ ᠨᠢᠬᠡᠨ ᠠᠩᠬᠢ10 ᠲ

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠠᠯᠪᠠᠨ ᠵᠢᠷᠤᠮ ᠤᠨ ᠰᠤᠷᠭᠠᠨ ᠬᠦᠮᠦᠵᠢᠯ ᠦᠨ ᠰᠤᠷᠬᠤ ᠪᠢᠴᠢᠭ,ᠳᠣᠯᠣᠳᠤᠭᠠᠷ ᠣᠨ ᠳᠣᠣᠷᠠᠳᠤ,,,ᠬᠢᠴᠢᠶᠡᠯᠯᠡᠭᠴᠢ᠄ ᠬᠠᠰᠪᠤᠶᠠᠨᠳᠤ,811 ᠬᠤᠶᠠᠷ ᠦᠯᠦ ᠮᠡᠳᠡᠭᠳᠡᠭᠴᠢᠳᠡᠢ ᠨᠢᠭᠡᠳᠤᠭᠡᠷ ᠵᠡᠷᠭᠡ ᠶᠢᠨ ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠦᠨ ᠪᠦᠯᠦᠭ,ᠰᠠᠭᠰᠤᠨ ᠪᠥᠮᠪᠦᠭᠡ ᠶᠢᠨ ᠬᠤᠯᠪᠤᠭᠠᠳᠤ ᠤᠷᠤᠯᠳᠤᠭᠠᠨ ᠳᠤ᠂ ᠲᠠᠯᠠᠪᠤᠷ ᠪᠦᠷᠢ ᠳᠤ ᠴᠥᠮ ᠢᠯᠠᠵᠤ ᠢᠯᠠᠭᠳᠠᠬᠤ ᠶᠢ ᠢᠯᠭᠠᠷᠠᠭᠤᠯᠵᠤ᠂ ᠠᠩᠭᠢ ᠪᠦᠷᠢ 1 ᠲᠠᠯᠠᠪᠤᠷ ᠢᠯᠠᠪᠠᠯ 2 ᠬᠤᠪᠢ ᠣᠯᠭᠤᠵᠤ᠂

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠠᠯᠪᠠᠨ ᠵᠢᠷᠤᠮ ᠤᠨ ᠰᠤᠷᠭᠠᠨ ᠬᠦᠮᠦᠵᠢᠯ ᠦᠨ ᠰᠤᠷᠬᠤ ᠪᠢᠴᠢᠭ,ᠳᠣᠯᠣᠳᠤᠭᠠᠷ ᠣᠨ ᠳᠣᠣᠷᠠᠳᠤ,,,ᠬᠢᠴᠢᠶᠡᠯᠯᠡᠭᠴᠢ᠄ ᠬᠠᠰᠪᠤᠶᠠᠨᠳᠤ,722 ᠪᠠᠢᠷᠢᠰᠢᠯ ᠢᠶᠠᠷ ᠵᠡᠷᠭᠡᠴᠡᠭᠡ ᠰᠢᠯᠵᠢᠯᠲᠡ ᠶᠢ ᠢᠯᠡᠷᠭᠡᠢᠯᠡᠬᠦ,1 ᠴᠡᠭ 𝐴−2,−3 ᠶᠢ ᠪᠠᠷᠠᠭᠤᠨᠰᠢ ᠵᠡᠷᠭᠡᠴᠡᠭᠡ ᠪᠡᠷ 5 ᠨᠢᠭᠡᠴᠢ ᠤᠷᠲᠤ ᠰᠢᠯᠵᠢᠬᠦᠯᠦᠬᠡᠳ᠂ ᠴᠡᠭ 𝐴 1\s ᠢ ᠤᠯᠤᠨ᠎ᠠ᠃,2 ᠴᠡᠭ 𝐴−2,−3 ᠶᠢ ᠵᠡᠭᠦᠨᠰᠢ ᠵᠡᠷᠭᠡᠴᠡᠭᠡ ᠪᠡᠷ 2 ᠨ