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

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠬᠤᠷᠢ ᠳᠤᠭ ᠠᠷ ᠪᠦ ᠯᠦᠭ ᠦᠨ ᠪᠠᠢ ᠴᠠᠭ ᠠᠯᠲᠠ ᠠᠩᠭᠢ ᠪᠥᠯᠥᠭ᠄ ᠨᠡᠷ ᠡ᠄ ︵90 ᠮ᠊ ᠢᠨᠦ᠋ᠲ᠂ ᠨᠠᠢ ᠲᠡ 120 ᠬᠤ ᠪᠢ︶ ᠨᠢᠭᠡ᠂ ᠬ᠊ ᠠᠷᠢᠭᠤ ᠯᠲᠠ ᠰ᠊ ᠣᠩᠭᠤ ᠬᠤ ᠰ᠊ ᠡᠳᠦᠪ᠃ ︵ᠪᠠᠭ ᠠ ᠰ᠊ ᠡᠳᠦᠪ ᠪᠦᠷ ᠢ 3 ᠬᠤ ᠪᠢ᠂ ᠨᠡᠢ ᠲᠡ 30 ᠬᠤ ᠪᠢ︶ 1 ᠨ᠊ ᠢᠭᠡ ᠪᠦᠯᠦᠭ ᠲᠤᠭ ᠠ ᠪᠠ ᠷᠢᠮᠲ ᠠ 4, 5 ,6 ,4 ,7 , 𝑥 , 5 ᠶᠢᠨ ᠲᠤ ᠮᠳᠠᠴ ᠢ ᠲ᠊ ᠣᠭ ᠠ ᠨᠢ 5 ᠪᠣᠯ᠂ ᠲ᠊ ᠡᠳᠡᠭᠡᠷ ᠦᠨ ᠲᠤ ᠮᠳᠠ ᠪᠠ ᠢᠷᠢ ᠶᠢᠨ ᠲᠣ ᠬ᠋᠊ ᠠ 

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠠᠷᠪᠠ ᠨ᠊ ᠵᠢᠷᠭᠤᠳᠤ ᠭᠠᠷ ᠪᠥᠯ ᠥᠭ ᠦᠨ ᠪᠠᠢ ᠴᠠᠭᠠᠯᠲᠠ ᠠᠩᠭᠢ ᠪᠥᠯ ᠥᠭ᠄ ᠨᠡᠷ ᠡ᠄ ︵90 ᠢ ᠨᠦ᠋ᠲ᠂ ᠨᠠᠢᠲᠡ 02 1 ᠢᠪᠤᠬ︶ ᠨᠢᠭᠡ᠂ ᠰᠪᠩᠭᠪᠬ ᠤ ᠰᠡ ᠲᠪᠪ᠃ ︵ᠰᠡᠳ᠋ᠪᠪ ᠪᠦ ᠷᠢ 3 ᠢᠪᠤᠬ᠂ ᠨᠠᠢᠲᠡ 31 ᠢᠪ ᠤᠬ︶ 1 ᠢᠣᠶ ᠠᠳᠪᠭ ᠠᠷ ᠵᠡᠷᠭᠡ ᠢᠢᠨ ᠢᠵᠠᠭ ᠪᠷ ᠦᠨ ᠢᠯᠡᠷ ᠬᠡᠶᠢᠯᠡᠯ √2 𝑥− 4 ᠢ ᠤᠳᠬ ᠠ ᠲᠠ ᠢ ᠪᠣᠯᠭ ᠠᠬᠤ 𝑥 ᠦ ᠨ᠊ ᠬᠡ ᠮᠵᠢᠭᠳᠡᠯ ᠠᠤᠬᠤ ᠬᠡ ᠪᠴᠢᠶ ᠡ ᠨᠢ ︵︶ A 𝑥 2 B 𝑥 2 C 𝑥≥ 2 D

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠠᠷᠪᠠ ᠨ᠊ ᠵᠢᠷᠭᠤᠳᠤ ᠭᠠᠷ ᠪᠥᠯ ᠥᠭ ᠦᠨ ᠪᠠᠢ ᠴᠠᠭᠠᠯᠲᠠ 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 ᠬᠤᠪᠢ︶ 1 ᠳᠠ ᠷᠠᠭᠠᠬ ᠢ ᠢ ᠯᠡᠷᠬᠡᠢᠯ ᠡᠯ ᠳᠤ᠂ ᠯᠠᠪᠲᠠ ᠢ ᠬᠤᠶ ᠠᠳᠤᠭ ᠠᠷ ᠵᠡᠷᠭᠡ ᠶᠢᠨ ᠢᠵᠠᠭ ᠤᠷ ᠤᠨ ᠢ ᠯᠡᠷᠬᠡᠢᠯ ᠡᠯ ᠪᠤᠯᠬ ᠤ ᠨᠢ ︵︶ A √𝑥\s2 B √ 𝑥 C √ 𝑥 2\s1 D √ 𝑥 2 − 2

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠠᠷᠪ ᠠᠨ ᠳ᠋᠊ ᠣᠯᠣᠳ ᠤᠭᠠᠷ 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᠃ ︵ᠰᠡᠲᠤ ᠤ ᠪᠦᠷ ᠢ 3 ᠬᠤᠪᠢ᠂ ᠨ᠊ ᠠᠢᠲ ᠡ 30 ᠬᠤ ᠪᠢ︶ 1 ∆AB C ᠲᠤ᠂᠂ ∠A\s12 ∠ B 13 ∠ C ᠲ᠊ ᠡᠭᠡᠪᠡᠯ ᠲ᠊ ᠡᠭᠦᠨ ᠳ᠋᠊᠂ ᠬ᠋᠊ ᠤᠷᠪᠠ ᠨ᠊ ᠲ᠊ ᠠᠯ ᠠᠳ ᠶᠢᠨ ᠬᠠᠷᠢ ᠴᠠᠯ ᠨ᠊ ᠢ ︵︶ A 1 ∶1 ∶√ 2 B 1 ∶√ 3∶ 2 C 1 ∶√ 2

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠠᠷᠪ ᠠᠨ ᠳ᠋᠊ ᠣᠯᠣᠳ ᠤᠭᠠᠷ 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 ᠤ ᠦᠷᠢ 3 ᠬᠤᠪᠢ᠂ ᠨ᠊ ᠠᠢᠲ ᠡ 30 ᠬᠤ ᠪᠢ︶ 1 ᠳᠠᠷᠠᠭᠠᠬ ᠢ ᠡ ᠯ᠊ ᠡ ᠪᠦᠯᠦᠭ ᠲᠤᠭ ᠠ ᠳ᠋᠊ ᠥ᠂ ᠲᠡᠭᠰ ᠢ ᠦᠨᠴ ᠦᠭᠲᠤ ᠭᠤᠷᠪᠠ ᠯᠵᠢᠨ ᠤ ᠬ᠋᠊ ᠤᠷᠪᠠ ᠨ᠊ ᠲ᠊ ᠠᠯ ᠠ ᠶᠢᠨ ᠬᠤᠯ ᠪᠤᠭᠳ ᠠᠯ ᠢ ᠤ ᠦᠷᠢ ᠯᠳᠤᠭ ᠦᠯᠵᠤ ᠴᠢᠳ ᠠᠬᠤ ᠦᠭᠡᠢ

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠠᠷᠪ ᠠ ᠨ᠊ ᠠᠢ ᠮᠠᠳ ᠤᠭᠠᠷ ᠪᠦᠯ ᠦᠭ ᠦ ᠨ᠊ ᠤ ᠠᠭ ᠠ ᠰᠣᠷᠢ ᠯᠲᠠ 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 ᠲᠦ᠋ ᠷᠪᠡᠯ ᠶᠢᠨ AB CD ᠨᠢ ᠵᠢᠰᠢ ᠭᠦᠯᠵ ᠶᠢᠨ ᠤ ᠤᠯᠬᠤ ᠶᠢ ᠮᠠᠭᠠᠳ ᠯᠡᠵᠤ ᠴᠢᠳ ᠡᠬᠤ ᠨᠢ ︵︶ A AB ∥ CD ,AD\sBC B ∠ A\s∠B , ∠ C ∠D C AB\sCD , AD

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠠᠷ ᠪᠠ ᠨᠠᠢ ᠮᠠᠳᠤ ᠭᠠᠷ ᠪᠥᠯ ᠥᠭ ᠦᠨ ᠨᠢᠭᠡ ᠴᠢ ᠶᠢ ᠨ᠊ ᠪᠠᠢᠴᠠ ᠭᠠᠯᠲᠠ 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 ᠬᠤᠪᠢ︶ 1 ᠵᠢᠷᠤᠭ 1 ᠮᠡᠲᠦ᠂ ᠵᠢᠰᠢᠭ ᠦᠯᠵᠢ ᠨ᠊ AB CD ᠲᠤ᠂ ᠳᠣᠣᠷ ᠠᠬᠢ ᠢᠯᠡᠷ ᠬᠡᠢᠯ ᠡᠯ ᠠᠴᠠ ᠵᠥᠪ ᠪᠢᠰᠢ ᠮᠠᠭᠠᠳ ᠨᠢ︶ ︵A ∠1\s∠2 ＝18 0 B ∠2\s∠3 ＝18 0A

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠠᠷᠪ ᠠ ᠶᠢ ᠰᠦᠳ ᠦᠭᠡᠷ ᠤ ᠦᠯᠦ ᠬ᠋᠊ ᠦᠨ ᠪᠠᠭ ᠠ ᠰᠣᠷᠢ ᠯᠲᠠ 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 ᠳᠠᠷᠠᠭᠠᠬ ᠢ ᠹᠦ ᠩᠺᠼ ᠨᠤᠭᠤ ᠳ᠋᠊ ᠡ ᠴᠡ ᠬᠤᠪᠢ ᠰᠬᠤᠨ 𝑥 ᠦᠨ ᠬ᠋᠊ ᠡᠮᠵᠢᠭ ᠳ᠋ᠡᠯ ᠠᠪᠬᠤ ᠭᠡᠪᠴ ᠢᠶ ᠡ ᠨᠢ 𝑥 ≥ 2 ᠪᠤᠯᠬᠤ ᠨᠢ ︵︶ A 𝑦\s√4 − 𝑥 2 B 𝑦 1 √𝑥 −2