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

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠬᠣᠷᠢ ᠨ ᠬᠣᠶᠠ ᠳ᠋ᠤᠭᠠ ᠷ ᠪᠥᠯ ᠥᠭ ᠦ ᠨ ᠪᠠ ᠢᠴᠠ ᠭᠠᠯᠲ ᠠ ᠠᠩᠭᠢ ᠪᠥᠯᠥᠭ᠄ ᠨᠡᠷ ᠡ ᠄ ︵90 ᠮ ᠢᠨᠦ᠋ᠲ ᠂ ᠨᠠᠢ ᠲᠡ 120 ᠬᠤ ᠪᠢ ︶ ᠨᠢᠭᠡ ᠂ ᠰ ᠤᠩᠭᠤ ᠬᠤ ᠰ ᠡᠲᠤᠪ ᠃ ︵ ᠰᠡᠲ ᠤᠪ ᠪ ᠦᠷᠢ 3 ᠬᠤᠪᠢ ᠂ ᠨᠠᠢ ᠲᠡ 30 ᠬᠤ ᠪᠢ ︶ 1 ᠹᠦᠩ ᠺᠽ Y 𝑚\s2 𝑥 𝑚 2− 2 ᠨᠢ ᠬᠣᠶ ᠠᠳ᠋ᠤᠭᠠᠷ ᠵᠡᠷᠭᠡ ᠢᠢᠨ ᠹᠦ ᠩᠺᠽ ᠪᠣᠯ ᠂ M ᠢᠢᠨ ᠬᠡᠮᠵ ᠢᠭᠳ᠋ᠡᠯ ᠨ ᠢ\s A 2 B 2 C − 2 D

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠬ ᠣᠷᠢᠨ ᠬᠣᠶᠠ ᠳ᠋ᠤᠭ ᠠᠷ ᠪᠥ ᠯᠥᠭ ᠦᠨ ᠪᠠ ᠢᠴᠠ ᠭᠠᠯᠲ ᠠ ᠠᠩᠭᠢ ᠪᠥᠯᠥᠭ᠄ ᠨᠡᠷ ᠡ ᠄ ︵90 ᠮ ᠢᠨᠦ᠋ᠲ ᠂ ᠨᠠᠢ ᠲᠡ 120 ᠬᠤ ᠪᠢ ︶ ᠨᠢᠭᠡ ᠂ ᠰ ᠤᠩᠭᠤ ᠬᠤ ᠰ ᠡᠲᠤᠪ ᠃ ︵ ᠰᠡᠲ ᠤᠪ ᠪ ᠦᠷᠢ 3 ᠬᠤᠪᠢ ᠂ ᠨᠠᠢ ᠲᠡ 30 ᠬᠤ ᠪᠢ ︶ 1 ᠬᠣᠶ ᠠᠳ᠋ᠤᠭᠠᠷ ᠵᠡᠷᠭᠡ ᠢᠢᠨ ᠹᠦ ᠩᠺᠽ 𝑦\s𝑎𝑥 2 𝑏𝑥\s𝑐 ᠢᠢᠨ ᠵᠢᠷᠤᠮᠠᠭ ᠨᠢ ᠵᠢᠷᠤᠭ 1 ᠮ ᠡᠲᠦ ᠪᠣᠯ ᠂ ᠨᠢ ᠭᠡᠳ᠋ᠦᠭᠡᠷ ᠵᠡᠷᠭᠡ ᠢᠢᠨ ᠹᠦᠩ ᠺᠽ 𝑦 B𝑥\s𝑎 ᠢ

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠬᠣ ᠷᠢᠨ ᠨᠢᠭᠡᠳ ᠤᠭᠡᠷ ᠪ ᠥᠯᠥ ᠭ ᠦᠨ ᠪᠠ ᠢᠴᠠ ᠭᠠᠯᠲ ᠠ ᠠᠩᠭᠢ ᠪᠥᠯᠥᠭ᠄ ᠨᠡᠷ ᠡ ᠄ ︵90 ᠮ ᠢᠨᠦ᠋ᠲ ᠂ ᠨᠠᠢ ᠲᠡ 120 ᠬᠤ ᠪᠢ ︶ ᠨᠢᠭᠡ ᠂ ᠰ ᠤᠩᠭᠤ ᠬᠤ ᠰ ᠡᠲᠤᠪ ᠃ ︵ ᠰᠡᠲ ᠤᠪ ᠪ ᠦᠷᠢ 3 ᠬᠤᠪᠢ ᠂ ᠨᠠᠢ ᠲᠡ 30 ᠬᠤ ᠪᠢ ︶ 1 𝑥 1 ᠨᠢ ᠬᠣᠶ ᠠᠳ᠋ᠤᠭᠠᠷ ᠵᠡᠷᠭᠡ ᠢᠢᠨ ᠳᠡᠭ ᠰᠢᠳ ᠭᠡᠯ 𝑚 2− 1 𝑥 2 − 𝑚𝑥\s𝑚 2 0 ᠦᠨ ᠨ ᠢᠭᠡ ᠢᠵ ᠠᠭᠤᠷ ᠪᠣᠯ ᠂ 𝑚 ᠢᠢᠨ ᠬᠡᠮᠵ ᠢᠭᠳ᠋ᠡᠯ ᠨ ᠢ\s A 12

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠬᠣ ᠷᠢᠨ ᠨᠢᠭᠡᠳ ᠤᠭᠡᠷ ᠪ ᠥᠯᠥ ᠭ ᠦᠨ ᠪᠠ ᠢᠴᠠ ᠭᠠᠯᠲ ᠠ ᠠᠩᠭᠢ ᠪᠥᠯᠥᠭ᠄ ᠨᠡᠷ ᠡ ᠄ ︵90 ᠮ ᠢᠨᠦ᠋ᠲ ᠂ ᠨᠠᠢ ᠲᠡ 120 ᠬᠤ ᠪᠢ ︶ ᠨᠢᠭᠡ ᠂ ᠰ ᠤᠩᠭᠤ ᠬᠤ ᠰ ᠡᠲᠤᠪ ᠃\sᠰᠡᠲ ᠤᠪ ᠪ ᠦᠷᠢ 3 ᠬᠤᠪᠢ ᠂ ᠨᠠᠢ ᠲᠡ 30 ᠬᠤ ᠪᠢ\s1 ᠨᠢᠭᠡ ᠦᠯ ᠦ ᠮᠡᠳ᠋ ᠡᠭᠳ᠋ᠡᠭᠴᠢ ᠲᠡᠢ ᠬᠣᠶ ᠠᠳ᠋ᠤᠭᠠᠷ ᠵᠡᠷᠭᠡ ᠢᠢᠨ ᠳᠡᠭ ᠰᠢᠳ ᠭᠡᠯ 2𝑥 2− B𝑥\s1 ᠤᠨ ᠰᠤᠯ ᠠ ᠭᠡᠰ ᠢᠬᠦᠨ ᠨᠢ\s A − 1 B 1 C 0 D 1

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠬᠣᠷ ᠢᠨ ᠭᠤᠷᠪ ᠠᠳᠤᠭᠠᠷ ᠪᠥᠯ ᠥᠭ ᠦᠨ ᠪᠠᠢ ᠴᠠᠭᠠᠯᠲᠠ ᠠᠩᠭᠢ ᠪᠥᠯ ᠥᠭ᠄ ᠨᠡᠷ ᠡ᠄ ︵12 0 ᠮᠢ ᠨᠦ᠋ᠲ᠂ ᠨᠠᠢᠲᠡ 12 0 ᠬᠤᠪᠢ ︶ ᠨᠢᠭ ᠡ᠂ ᠰᠤᠩᠭ ᠤᠬᠤ ᠰᠡᠲᠤ ᠪ᠃\sᠰ ᠡᠳᠤᠪ ᠪᠦᠷᠢ 3 ᠬᠤᠪᠢ᠂ ᠨᠡᠢᠲᠡ 30 ᠬᠤᠪ ᠢ 1 ᠳᠣᠣᠷ ᠠᠬᠢ ᠲᠡ ᠷᠭᠡᠨ ᠲᠡᠮᠳᠡ ᠭ ᠤᠨ ᠵᠢᠷᠤᠭ ᠳᠤᠳᠤᠷ ᠠ ᠲᠥᠪ ᠲᠤ ᠲᠡᠭᠰᠢ ᠬᠡᠮᠳᠤ ᠵᠢᠷ ᠤᠭ ᠳᠦ᠋ᠷᠰᠤ ᠪᠣᠯᠬ ᠤ ᠨᠢ\s A B C D 2 ᠬᠠᠪᠲᠠᠭ ᠠᠢ ᠶᠢᠨ ᠲᠡ ᠭᠰᠢ ᠥᠨᠴᠦᠭᠲ ᠦ ᠪ ᠠ

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠬᠤ ᠷᠢᠨ ᠭᠤ ᠷᠪᠠᠳ᠋ ᠤᠭᠠᠷ ᠪᠥᠯ ᠥᠭ ᠦ ᠨ ᠪᠠ ᠢᠴᠠ ᠭᠠᠯᠲ ᠠ A ᠠᠩᠭᠢ ᠪᠥᠯᠥᠭ᠄ ᠨᠡᠷ ᠡ ᠄ 120 ᠮᠢᠨᠦ᠋ ᠲ᠂ ᠨ ᠠᠢᠲ ᠡ 120 ᠬᠤ ᠪᠢ\sᠨᠢᠭᠡ ᠂ ᠰ ᠤᠩᠭᠤ ᠬᠤ ᠰ ᠡᠲᠤᠪ ᠃\sᠰᠡᠲ ᠤᠪ ᠪ ᠦᠷᠢ 3 ᠬᠤᠪᠢ ᠂ ᠨᠠᠢ ᠲᠡ 30 ᠬᠤ ᠪᠢ\s1 ᠦᠭ ᠭᠦᠭᠳ᠋ ᠡᠭᠰᠡᠨ ᠨ ᠢ ᠴ ᠡᠭ A ᠢᠢ ᠨ ᠪᠠᠶᠢ ᠷᠢᠰᠢ ᠯ ᠨ ᠢ\s𝑎 , B ᠂ ᠴᠡᠭ O ᠨᠢ ᠬᠠᠪᠳ᠋ ᠠᠭᠠᠢ ᠢᠢᠨ ᠲᠡᠭᠰ ᠢ ᠦᠨᠴ ᠦᠭᠳ᠋ᠤ ᠪᠠᠶᠢ ᠷᠢᠰᠢ ᠯ ᠦᠨ ᠰᠢ ᠰᠲ᠋ᠧᠮ

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠬᠣ ᠷᠢᠳᠤ ᠭᠠᠷ ᠪᠦᠯ ᠦᠭ ᠦ ᠨ᠊ ᠤ ᠠᠢᠴᠠ ᠭᠠᠯᠲ ᠠ ᠠᠩᠭᠢ ᠪᠥᠯᠥᠭ᠄ ᠨᠡᠷ ᠡ᠄ ︵90 ᠮ᠊ ᠢᠨᠦ᠋ᠲ᠂ ᠨᠠᠢ ᠲᠡ 120 ᠬᠤ ᠪᠢ︶ ᠨᠢᠭᠡ᠂ ᠰ᠊ ᠤᠩᠭᠤ ᠬᠤ ᠰ᠊ ᠡᠲᠤᠪ᠃ ︵ᠰᠡᠲ ᠤᠪ ᠤ ᠦᠷᠢ 3 ᠬᠤᠪᠢ᠂ ᠨ᠊ ᠠᠢᠲ ᠡ 30 ᠬᠤ ᠪᠢ︶ 1 ᠨ᠊ ᠢᠭᠡ ᠤᠳ ᠠᠭᠠᠨ ᠤ ᠶᠠᠷ ᠢᠶᠠᠨ ᠤ ᠤᠷᠤ ᠯᠳᠤᠭᠠᠨ ᠳᠤᠮ ᠳᠠ᠂ ᠲᠠᠪ ᠤᠨ ᠬ᠊ ᠢᠨᠠᠭᠴ ᠢ ᠶᠢ ᠨ᠊ ᠪᠠ ᠲᠤ ᠳ᠋᠊ ᠤ ᠥᠭᠭ ᠥᠭᠰᠡᠨ ᠬᠤᠪᠢ ᠨᠢ ᠳᠣᠣ ᠷᠠᠬᠢ ᠮᠡᠲ ᠦ᠄ 90 , 8 5 , 90 , 80 , 95