ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠠᠯᠪᠠᠨ ᠵᠢᠷᠤᠮ ᠤᠨ ᠰᠤᠷᠭᠠᠨ ᠬᠦᠮᠦᠵᠢᠯ ᠦᠨ ᠰᠤᠷᠬᠤ ᠪᠢᠴᠢᠭ,ᠳᠣᠯᠣᠳᠤᠭᠠᠷ ᠣᠨ ᠳᠣᠣᠷᠠᠳᠤ,,,ᠬᠢᠴᠢᠶᠡᠯᠯᠡᠭᠴᠢ᠄ ᠬᠠᠰᠪᠤᠶᠠᠨᠲᠤ,711 ᠳᠠᠷᠠᠭᠠᠯᠠᠯᠳᠤ ᠲᠣᠭᠠᠨ ᠬᠣᠣᠰ,,,ᠬᠡᠷᠪᠡ ᠨᠢᠭᠡ ᠨᠣᠮ ᠤᠨ ᠠᠯᠢ ᠨᠢᠭᠡ ᠨᠢᠭᠤᠷ ᠳᠡᠭᠡᠷ᠎ᠡ ᠨᠢᠭᠡ ᠪᠤᠷᠤᠭᠤ ᠦᠰᠦᠭ ᠢ ᠣᠯᠵᠤ ᠬᠠᠷᠠᠭᠰᠠᠨ ᠢᠶᠠᠨ ᠶᠠᠭᠠᠬᠢᠵᠤ ᠬᠠᠮᠳᠤ ᠨᠥᠬᠥᠳ ᠲᠦ ᠪᠡᠨ ᠲᠣᠳᠣᠷᠬᠠᠢᠯᠠᠪᠠᠯ ᠬᠠᠮᠤᠭ ᠵᠣᠬᠢᠰᠲᠠᠢ ᠪᠣᠢ︖,ᠰᠢᠲᠠᠷ᠎ᠠ ᠶᠢᠨ ᠬᠥᠯᠭᠡ ᠳᠡᠭᠡᠷᠡᠬᠢ ᠡᠯ᠎ᠡ

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠠᠯᠪᠠᠨ ᠵᠢᠷᠤᠮ ᠤᠨ ᠰᠤᠷᠭᠠᠨ ᠬᠦᠮᠦᠵᠢᠯ ᠦᠨ ᠰᠤᠷᠬᠤ ᠪᠢᠴᠢᠭ,ᠳᠣᠯᠣᠳᠤᠭᠠᠷ ᠣᠨ ᠳᠣᠣᠷᠠᠳᠤ,,,ᠬᠢᠴᠢᠶᠡᠯᠯᠡᠭᠴᠢ᠄ ᠬᠠᠰᠪᠤᠶᠠᠨᠳᠤ,721 ᠪᠠᠢᠷᠢᠰᠢᠯ ᠢᠶᠠᠷ ᠭᠠᠵᠠᠷ ᠵᠦᠢ ᠶᠢᠨ ᠪᠠᠢᠷᠢ ᠶᠢ ᠢᠯᠡᠷᠬᠡᠢᠯᠡᠬᠦ,ᠲᠠᠨᠠᠷ ᠪᠡᠭᠡᠵᠢᠩ ᠳᠦ ᠲᠣᠭᠣᠷᠢᠭᠰᠠᠨ ᠪᠣᠯ ᠵᠢᠷᠤᠭ ᠲᠠᠬᠢ ᠠᠬᠤᠢ ᠲᠠᠯᠠᠪᠠᠢ ᠶᠢᠨ ᠨᠡᠷ᠎ᠡ ᠶᠢ ᠬᠡᠯᠡᠵᠤ ᠦᠵᠡ᠃,ᠳᠠᠷᠠᠭᠠᠬᠢ ᠵᠢᠷᠤᠭ ᠪᠣᠯ ᠪᠡᠭᠡᠵᠢᠩ ᠬᠣᠲᠠ ᠶᠢᠨ ᠲᠡᠮᠤᠷ ᠵᠠᠮ ᠤᠨ ᠲᠠᠢᠯᠪᠤᠷᠢ ᠵᠢᠷᠤᠭ

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ 712 ᠬᠠᠪᠲᠠᠭᠠᠢ ᠶᠢᠨ ᠲᠡᠭᠰᠢ ᠦᠨᠴᠦᠭᠳᠦ ᠪᠠᠢᠷᠢᠰᠢᠯ ᠤᠨ ᠰᠢᠰᠲ᠋ᠧᠮ,ᠠᠯᠪᠠᠨ ᠵᠢᠷᠤᠮ ᠤᠨ ᠰᠤᠷᠭᠠᠨ ᠬᠦᠮᠦᠵᠢᠯ ᠦᠨ ᠰᠤᠷᠬᠤ ᠪᠢᠴᠢᠭ,ᠳᠣᠯᠣᠳᠤᠭᠠᠷ ᠣᠨ ᠳᠣᠣᠷᠠᠳᠤ,,,ᠬᠢᠴᠢᠶᠡᠯᠯᠡᠭᠴᠢ᠄ ᠬᠠᠰᠪᠤᠶᠠᠨᠲᠤ,ᠶᠠᠭᠤ ᠶᠢ ᠲᠣᠭᠠᠨ ᠤ ᠲᠡᠩᠭᠡᠯᠢᠭ ᠭᠡᠬᠦ ᠪᠣᠢ︖,ᠨᠢᠭᠡ ᠨᠢᠭᠡ ᠪᠡᠷ ᠬᠠᠷᠠᠭᠠᠯᠵᠠᠨ᠎ᠠ,ᠰᠠᠭᠤᠷᠢ ᠮᠡᠳᠡᠯᠭᠡ ᠶᠢᠨ ᠪᠠᠳᠤᠳᠬᠠᠯ,ᠨᠢᠭᠡᠨ ᠬᠠᠪᠲᠠᠭᠠᠢ ᠳᠡᠭᠡᠷ᠎ᠡ ᠳᠠᠷᠠᠭᠠᠬᠢ ᠳᠥᠷᠪᠡᠨ 𝐴 , 𝐵 , 𝐶 , 𝐷

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠬᠣᠷ ᠢ ᠶᠢ ᠰᠤᠳᠤᠭ ᠡᠷ ᠪᠥᠯ ᠥᠭ ᠦᠨ ᠪ ᠠᠢᠴ ᠠᠭᠠᠯᠲᠠ ᠠᠩᠭᠢ ᠪᠥᠯ ᠥᠭ᠄ ᠨᠡᠷ ᠡ᠄ ︵90 ᠮᠢᠨᠦ᠋ ᠲ᠂ ᠨᠠᠢᠲᠡ 12 0 ᠬ ᠤᠪᠢ ︶ ᠨᠢᠭᠡ᠂ ᠰᠤᠩᠭᠤᠬ ᠤ ᠰᠡ ᠲᠤᠪ ᠃ ︵ ᠰᠡᠲᠤᠪ ᠪᠦ ᠷᠢ 3 ᠬᠤᠪᠢ᠂ ᠨᠠᠢᠲᠡ 30 ᠬᠤ ᠪᠢ ︶ 1 ᠨᠢᠭᠡ ᠨ ᠭᠧᠣᠮᠧᠲ᠋ᠷ ᠢ ᠢ ᠢᠨ ᠪᠡᠶ ᠡ ᠢᠢᠨ ᠭᠤᠷᠪ ᠠᠨ ᠬᠠᠷᠠᠭ ᠠᠨ ᠵᠢᠷᠤᠭ ᠨᠢ ᠵᠢᠷᠤ ᠭ 1 ᠮᠡᠳᠤ ᠂ ᠲᠡ ᠭᠡᠪᠠᠯ ᠡᠨᠡ ᠭᠧᠣᠮᠧᠲ᠋ᠷ ᠢ ᠢᠢ ᠨ ᠪ ᠡᠶ ᠡ ᠨᠢ\s A ᠪᠦᠭᠡᠷᠡ ᠩᠬᠡᠢ ᠪᠠ

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠬᠤᠷᠢ ᠨ ᠶᠢ ᠰᠦᠳᠦᠭᠡ ᠷ ᠪᠥᠯ ᠥᠭ ᠦᠨ ᠪᠠᠢ ᠴᠠᠭᠠᠯᠲᠠ ᠠᠩᠭᠢ ᠪᠥᠯ ᠥᠭ᠄ ᠨᠡᠷ ᠡ᠄\s9 0 ᠮᠢ ᠨᠦ᠋ᠲ᠂ ᠨᠠᠢᠲᠡ 12 0 ᠬᠤᠪ ᠢ ᠨᠢᠭᠡ᠂ ᠰᠤᠩᠭᠤᠬ ᠤ ᠰᠡ ᠲᠤᠪ ᠃ ︵ ᠰᠡᠲᠤᠪ ᠪᠦ ᠷᠢ 3 ᠬᠤᠪᠢ᠂ ᠨᠠᠢᠲᠡ 30 ᠬᠤ ᠪᠢ ︶ 1 ᠢᠵᠢ ᠯᠢ ᠨᠢ ᠭᠡᠨ ᠴᠠᠭ ᠮᠦ᠋ ᠴᠠ ᠢᠢᠨ ᠨᠠᠷ ᠠᠠ ᠤ ᠭᠡᠷᠡᠯ ᠲᠤᠤᠷ ᠠ ᠂ ᠪᠠᠲᠤ ᠢᠢᠨ ᠰᠡᠬ ᠦᠳᠡᠷ ᠨᠢ ᠪ ᠠᠭᠠᠳᠤᠷ ᠦᠨ ᠰᠡᠬᠦᠳᠡ ᠷ ᠡᠴᠠ ᠤᠷᠳᠤ ᠪᠣᠯ ᠂ ᠢ ᠵᠢᠯᠢ ᠨᠢᠭᠡᠨ ᠵᠠᠮ ᠦᠨ ᠳ᠋ ᠧᠩ ᠦ

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠬᠣᠷ ᠢᠨ ᠵᠢᠷᠭᠤᠳᠤ ᠭᠠᠷ ᠪᠥᠯᠥ ᠭ ᠦᠨ ᠨᠢᠭᠡ ᠴᠢ ᠶᠢ ᠨ ᠪᠠᠢ ᠴᠠᠭᠠᠯᠲ ᠠ ᠠᠩᠭᠢ ᠪᠥᠯ ᠥᠭ᠄ ᠨᠡᠷ ᠡ᠄ ︵90 ᠮᠢᠨᠦ᠋ ᠲ᠂ ᠨᠠᠢᠲᠡ 12 0 ᠬ ᠤᠪᠢ ︶ ᠨᠢᠭᠡ᠄ ᠰᠤᠩᠭᠤᠬ ᠤ ᠰᠡ ᠲᠤᠪ ᠃\sᠰᠡᠳᠦᠪ ᠪᠦᠷᠢ 3 ᠬᠤᠪᠢ᠂ ᠨᠡᠢᠳᠡ 30 ᠬᠤᠪᠢ ） 1 ᠨᠢᠭᠡᠨ ᠦᠢ ᠯᠡᠳᠪᠦᠷᠢ ᠳ᠋ᠤ 10 0 ᠲ ᠣᠨ ᠲᠦ᠋ ᠭᠦᠬᠡᠢ ᠮᠠᠲ᠋ᠧᠷ ᠢᠶᠠᠯ ᠪᠠᠢᠨ ᠠ᠂ ᠡᠳᠦᠷ ᠪᠦᠷᠢ 𝒙 ᠲᠣᠨ ᠬᠡᠷᠡᠭᠯᠡᠪ ᠡᠯ Y ᠡᠳᠦᠷ ᠵᠠᠷᠤᠵ ᠤ ᠬᠦ ᠷᠤᠨ ᠠ᠂ ᠲᠡᠭᠡᠪ ᠡᠯ 𝑦

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠬᠣᠷ ᠢᠨ ᠵᠢᠷᠭᠤᠳᠤ ᠭᠠᠷ ᠪᠥᠯᠥ ᠭ ᠦᠨ ᠨᠢᠭᠡ ᠴᠢ ᠶᠢ ᠨ ᠪᠠᠢ ᠴᠠᠭᠠᠯᠲ ᠠ 90 ᠮᠢᠨᠦ᠋ ᠲ᠂ 12 0 ᠬ ᠤᠪᠢ᠃\sᠨᠢᠭᠡ᠂ ᠰᠤᠩᠭᠤ ᠬᠤ ᠰᠡ ᠲᠤᠪ᠃ ᠰ ᠡᠳᠦᠪ ᠪᠦᠷᠢ 3 ᠬᠤᠪᠢ᠂ ᠨᠡᠢᠳᠡ 30 ᠬᠤᠪᠢ\s1 ᠴᠡᠭ A 1,\s,B （3, ）ᠨᠢ ᠹᠦᠩᠺᠼ Y ᠶ ᠢᠨ ᠵᠢᠷᠤᠮᠠᠭ ᠲᠡᠭᠡᠷ ᠠ ᠣᠷᠤᠰ ᠢᠨ ᠠ᠃ ᠲᠡᠭᠡᠪ ᠡᠯ , ᠶ ᠢᠨ ᠶᠡ ᠬᠡ ᠪ ᠠᠭ ᠠ ᠶᠢᠨ ᠬᠣᠯ ᠪᠤᠭᠳᠠᠯ ᠨᠢ\s A B\sC D ᠲᠤᠭᠳᠠ ᠭᠠᠬᠤ ᠠ ᠷᠭ ᠠ ᠦᠭᠡ

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠬᠤᠷᠢ ᠨ ᠳ ᠣᠯᠣᠳᠤᠭᠠᠷ ᠪᠥ ᠯᠥᠭ ᠦᠨ ᠪᠠᠢ ᠴᠠᠭᠠᠯᠲᠠ ᠠᠩᠭᠢ ᠪᠥᠯ ᠥᠭ᠄ ᠨᠡᠷ ᠡ᠄ ︵90 ᠮᠢᠨᠦ᠋ ᠲ᠂ ᠨᠠᠢᠲᠡ 12 0 ᠬ ᠤᠪᠢ ︶ ᠨᠢᠭᠡ᠂ ᠰᠤᠩᠭᠤᠬ ᠤ ᠰᠡ ᠲᠤᠪ ᠃\sᠰ ᠡᠲᠤᠪ ᠪᠦᠷᠢ 3 ᠬᠤᠪᠢ᠂ ᠨᠠᠢᠲᠡ 30 ᠬᠤ ᠪᠢ\s1 ᠬᠠᠷᠢᠴᠠᠯ ᠲᠤ ᡂᠢ ᠨᠢ 1 50 00 0 ᠪᠤᠯᠬ ᠤ ᠭᠠ ᠵᠠᠷ ᠤ ᠨ ᠵᠢᠷ ᠤᠭ ᠲᠡᠭᠡᠷ ᠠ ᠠ ᠂ ᠡ ᠬᠤᠶ ᠠᠷ ᠭᠠᠵᠠᠷ ᠤᠨ ᠬᠤᠭᠤᠷ ᠤᠨᠳᠤᠬ ᠢ ᠵᠠ ᠢ ᠨᠢ 25 CM ᠂ ᠲᠡ ᠭᠡᠪᠡᠯ ᠠ᠂ ᠡ ᠬᠤ ᠶᠠᠷ ᠭᠠᠵᠠ

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠬᠤᠷᠢ ᠨ ᠳᠣ ᠯᠣᠳᠤᠭᠠᠷ ᠪᠥᠯ ᠥᠭ ᠦᠨ ᠪᠠᠢ ᠴᠠᠭᠠᠯᠲᠠ ᠠᠩᠭᠢ ᠪᠥᠯ ᠥᠭ᠄ ᠨᠡᠷ ᠡ᠄ ︵ 09 ᠡᠲᠢᠠ ᠨ ᠨᠦ᠋ᠨᠢᠮ 02 9 ᠢᠪᠤᠬ ︶ ᠨᠲᠭᠡ ᠰᠪᠩᠭᠪᠬ ᠤ ᠰᠡ ᠢᠪᠪ ᠃ ᠰᠡᠢᠪ ᠪ ᠪᠦᠷᠢ 4 ᠢ ᠪᠤᠬ ᠨᠦ᠋ᠨᠢᠮ 28 ᠢᠪ ᠤᠬ\s1 ᠳᠪᠪᠷ ᠦ᠋ᠬᠢ ᠤᠯᠦ᠋ᠨ ᠦᠨᠴᠦᠭᠢᠦ ᠡ ᠴᠮ ᠯᠦ᠋ᠤᠢᠦ᠋ ᠢ ᠢᠦ᠋ᠷ ᠲᠯᠴᠦ᠋ᠨ ᠲᠠ ᠰᠢᠦ᠋ᠢ ᠪᠤᠯ ᠬᠤ ᠨᠢ\s A ᠢᠪᠶ ᠦ᠋ᠷ ᠳᠡ ᠭᠰᠢ ᠦᠨᠴᠦᠭᠢᠦ B ᠢᠪᠶ ᠦ᠋ᠷ ᠷᠪᠮᠪ C ᠢᠪᠶ ᠦ᠋ᠷ ᠳᠡ ᠭᠰᠢ ᠲᠠᠷᠤ

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠬᠣᠷ ᠢᠨ ᠨᠠᠢ ᠮᠠᠳᠤ ᠭᠠᠷ ᠪᠥᠯᠥ ᠭ ᠦᠨ ᠨᠢᠭᠡ ᠴᠢ ᠶᠢ ᠨ ᠪᠠᠢᠴᠠ ᠭᠠᠯᠲᠠ ᠠᠩᠭᠢ ᠪᠥᠯ ᠥᠭ᠄ ᠨᠡᠷ ᠡ᠄ 90 ᠮᠢᠨᠦ᠋ ᠲ᠂ ᠨᠠᠢᠲᠡ 12 0 ᠬ ᠤᠪᠢ ᠨᠢᠭᠡ᠂ ᠰᠤᠩᠭᠤᠬ ᠤ ᠰ ᠡᠲᠤᠪ᠃ ᠰᠡ ᠲᠤᠪ ᠪᠦᠷᠢ 3 ᠬᠤᠪᠢ᠂ ᠨᠠᠢᠲᠡ 30 ᠬᠤ ᠪᠢ 1 ᠬᠡᠷᠪᠡ ᠥᠨᠴ ᠥᠭ 𝛼 ᠨᠢ ᠬᠤᠷᠴᠠ ᠥᠨ ᠴᠥᠭ ᠮᠥ ᠷᠳᠡᠭᠡ ᠨ𝑠𝑖𝑛𝛼\s45 ᠪᠣᠯ᠂ 𝑡𝑎𝑛𝛼\s︵ ︶ A 925 B 35 C 34 D 43 2 RT ∆AB C ᠳᠦ᠂ ∠C\s9

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠬᠣᠷ ᠢᠨ ᠨᠠᠢ ᠮᠠᠳᠤ ᠭᠠᠷ ᠪᠥᠯᠥ ᠭ ᠦᠨ ᠨᠢᠭᠡ ᠴᠢ ᠶᠢ ᠨ ᠪᠠᠢᠴᠠ ᠭᠠᠯᠲᠠ ᠠᠩᠭᠢ ᠪᠥᠯ ᠥᠭ᠄ ᠨᠡᠷ ᠡ᠄ 90 ᠮᠢᠨᠦ᠋ ᠲ᠂ ᠨᠠᠢᠲᠡ 12 0 ᠬ ᠤᠪᠢ\sᠨᠢᠭᠡ᠂ ᠰᠤᠩᠭᠤᠬ ᠤ ᠰ ᠡᠲᠤᠪ᠃ ᠰ ᠡᠲᠤᠪ ᠪᠦᠷᠢ 3 ᠬᠤᠪᠢ᠂ ᠨᠠᠢᠲᠡ 30 ᠬᠤ ᠪᠢ 1 ᠦᠭ᠍ ᠭᠦᠭ᠍ᠳ᠋ᠡᠭ᠍ ᠰᠡᠨ ᠨᠢ RT ∆A BC ᠳ᠋ᠥ ᠂ ∠C\s90 , AC\s6 , BC\s8 ᠲᠡᠭᠡᠪ ᠡᠯ SINA ᠵᠢᠨ ᠬᠡᠮᠵᠢ ᠭ᠍ᠳ᠋ᠡᠯ ᠨᠢ\s A 35 B 34 C

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠬᠣᠷ ᠢᠨ ᠳᠥ ᠷᠪᠡᠳᠦᠭᠡᠷ ᠪᠥ ᠯᠥᠭ ᠦᠨ ᠪ ᠠᠢᠴ ᠠᠭᠠᠯᠲᠠ ᠠᠩᠭᠢ ᠪᠥᠯ ᠥᠭ᠄ ᠨᠡᠷ ᠡ᠄ ︵12 0 ᠮᠢ ᠨᠦ᠋ᠲ᠂ ᠨᠠᠢᠲᠡ 12 0 ᠬᠤᠪᠢ ︶ ᠨᠢᠭᠡ᠂ ᠰᠤ ᠩᠭᠤ ᠬᠤ ᠰ ᠡᠲᠤᠪ ᠃\sᠰᠡᠲᠤᠪ ᠪ ᠦᠷᠢ 3 ᠬᠤᠪᠢ᠂ ᠨᠠᠢᠲᠡ 30 ᠬᠤᠪᠢ\s1 ᠲᠣᠭ ᠣᠷᠢᠭ ᠤ ᠨ ᠬᠠᠮᠤᠭ ᠤᠷᠳᠤ ᠬᠥ ᠪᠴᠢ ᠨᠢ1 2CM ᠂ ᠬᠡ ᠷᠪᠠ ᠰᠢᠯᠤᠭᠤᠨ ᠪᠣᠯ ᠤᠨ ᠲᠣᠭ ᠤᠷᠢᠭ ᠨᠢ ᠣᠭᠲᠤ ᠯᠤᠯᠴᠠ ᠬᠤ ᠮ ᠥᠷᠲᠡᠭᠡᠨ ᠲᠣᠭ ᠤᠷᠢᠭ ᠤ ᠨ ᠲᠥ ᠪ ᠡᠴᠡ ᠰᠢᠯ ᠤᠭᠤᠨ ᠬᠦᠷᠬ ᠦ

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠬᠣᠷ ᠢᠨ ᠳᠥ ᠷᠪᠡᠳᠦᠭᠡᠷ ᠪᠥᠯ ᠥᠭ ᠦᠨ ᠪᠠᠢᠴ ᠠᠭᠠᠯᠲ ᠠ ᠠᠩᠭᠢ ᠪᠥᠯ ᠥᠭ᠄ ᠨᠡᠷ ᠡ᠄ ︵90 ᠮᠢᠨᠦ᠋ ᠲ᠂ ᠨᠠᠢᠲᠡ 12 0 ᠬ ᠤᠪᠢ ︶ ᠨᠢᠭ ᠡ᠂ ᠰᠤᠩᠭ ᠤᠬᠤ ᠰᠡᠲᠤ ᠪ᠃ ︵ ᠰᠡ ᠲᠤᠪ ᠪᠦᠷᠢ 3 ᠬᠤᠪᠢ᠂ ᠨᠠᠢᠲᠡ 30 ᠬᠤᠪᠢ ︶ 1 ᠵᠢᠷᠤᠭ 1 ᠮᠡᠳᠤ ᠂ ⊙ O ᠶᠢᠨ ᠳ᠋ᠢᠶᠠᠮ ᠧᠲ᠋ᠷ AB ⊥CD ᠡᠭᠴᠡ ᠶᠢᠨ ᠰᠠᠭ ᠤᠷᠢ ᠨᠢ ᠴᠡ ᠭ E ᠂ ᠳᠣᠣᠷ ᠠᠬᠢ ᠳ᠋ᠦ᠋ᠩᠨᠡ ᠯᠲᠡ ᠡᠴᠡ ᠪᠤᠷᠤᠭ ᠤ ᠪ ᠣᠯᠬᠤ ᠨ ᠢ\s A CE D E B\sA

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠬᠣᠷ ᠢᠨ ᠲᠠᠪᠤᠳᠤ ᠭᠠᠷ ᠪᠥᠯ ᠥᠭ ᠦᠨ ᠪᠠᠢᠴ ᠠᠭᠠᠯᠲ ᠠ ᠠᠩᠭᠢ ᠪᠥᠯ ᠥᠭ᠄ ᠨᠡᠷ ᠡ᠄ ︵90 ᠮᠢᠨᠦ᠋ ᠲ᠂ ᠨᠠᠢᠲᠡ 12 0 ᠬ ᠤᠪᠢ ︶ ᠨᠢᠭᠡ᠂ ᠰᠤᠩᠭ ᠤᠬᠤ ᠰᠡᠲᠤ ᠪ᠃ ︵ ᠰᠡᠲ ᠤᠪ ᠪ ᠦᠷᠢ 3 ᠬᠤᠪᠢ᠂ ᠨᠠᠢᠲᠡ 30 ᠬᠤ ᠪᠢ ︶ 1 ᠳᠣᠣᠷ ᠠᠬᠢ ᠡᠴᠠ ᠵᠠᠶᠢᠯᠠᠰ ᠢᠭᠦᠢ ᠶᠠᠪᠤᠳᠠ ᠯ ᠪᠣᠯ ᠬᠤ ᠨᠢ\sA ᠳᠤᠤᠷ ᠠ ᠢᠢᠨ ᠭᠤᠷᠪ ᠠᠯᠵᠢ ᠨ ᠢ ᠵᠢᠷᠤᠬ ᠤ ᠳ᠋ᠤ ᠲᠡᠭᠦᠨ ᠦ ᠳᠣᠲᠤᠭᠠ ᠳᠤ ᠦᠨᠴᠦᠭ ᠦᠨ ᠨᠡᠶᠢᠯᠡ ᠪᠦᠷᠢ ᠨᠢ 360

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠬᠣᠷ ᠢᠨ ᠲᠠᠪᠤᠳᠤ ᠭᠠᠷ ᠪᠥᠯᠥ ᠭ ᠦᠨ ᠪ ᠠᠢᠴ ᠠᠭᠠᠯᠲᠠ ᠠᠩᠭᠢ ᠪᠥᠯ ᠥᠭ᠄ ᠨᠡᠷ ᠡ᠄ ︵90 ᠮᠢᠨᠦ᠋ ᠲ᠂ ᠨᠠᠢᠲᠡ 12 0 ᠬ ᠤᠪᠢ ︶ ᠨᠢᠭᠡ᠂ ᠰᠤ ᠩᠭᠤ ᠬᠤ ᠰ ᠡᠲᠤᠪ ᠃ ᠰᠡᠲᠤ ᠪ ᠪᠦᠷᠢ 3 ᠬᠤᠪᠢ᠂ ᠨᠠ ᠢᠲᠡ 30 ᠬᠤᠪ ᠢ 1 ᠪᠠᠭᠰᠢ ᠨᠢᠭᠡ ᠠᠩᠭᠢ ᠰᠤᠷᠤᠭᠴᠢ ᠠ᠋ ᠴᠠ ᠲᠠᠰᠢᠷᠠ ᠮ ᠢ ᠢᠠᠷ ᠨᠢᠭᠡ ᠰᠤᠷᠤᠭᠴᠢ ᠶ᠋ ᠢ ᠲᠠ ᠭᠤᠳᠠᠬᠤ ᠳ᠋ ᠤ ᠡᠷᠡᠭᠳᠡᠢ ᠰᠤᠷᠤᠭᠴᠢ ᠪᠣᠯᠬᠤ ᠨᠢ ︵ ︶ A ᠵᠠᠢᠯ ᠠᠰᠢᠭᠦᠢ ᠶᠠᠪᠤ ᠳᠠᠯ B ᠲᠠ