ᠬᠤᠷᠢᠳᠤᠭᠠᠷ ᠪᠦᠯᠦᠭ ᠲᠤᠭ᠎ᠠ ᠪᠠᠷᠢᠮᠳᠠ ᠶᠢ ᠵᠠᠳᠠᠯᠬᠤ （ᠨᠢᠭᠡᠴᠢ ᠶᠢᠨ ᠪᠠᠢᠴᠠᠭᠠᠯᠲᠠ 1） .pdf

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 ᠤ ᠠ ᠮ᠊ ᠤᠳ᠋ ᠨᠢ ᠲ᠊ ᠤᠰ ᠲᠤᠰ ︵︶ A. 4 , 4 B . 5 , 4 C. 5 , 6 D. 6 , 7 2. ᠨᠢᠭᠡ ᠪᠦᠯ ᠦᠭ ᠲ᠊ ᠣᠭ ᠠ ᠪᠠᠷᠢ ᠮᠲᠠ᠄ 1, 5, 6, 3, 5 ᠶᠢᠨ ᠲᠤ ᠬᠠᠢ ᠲᠠᠷᠠᠭ ᠠᠬᠢ ᠬ᠊ ᠡᠯᠡᠯᠭᠡ ᠲᠤ ᠵ᠊ ᠦᠪ ᠪᠣᠰᠤ ᠪᠣᠯ ᠬᠣ ᠨᠢ ︵︶ A. ᠳᠣ ᠮᠳᠠᠴ ᠢ ᠲ᠊ ᠣᠭ ᠠ ᠨᠢ 4 B. ᠮᠣᠳ᠋ ᠨᠢ 5 C. ᠳᠣ ᠮᠳᠠ ᠪᠠ ᠢᠷᠢ ᠶᠢᠨ ᠲᠤᠭ ᠠ ᠨ᠊ ᠢ 6 D. ᠰᠠᠷᠨᠢ ᠴᠠ ᠨ᠊ ᠢ 3. 2 3. ᠨᠢᠭᠡᠨ ᠠᠩ ᠬᠢ ᠶ᠊ ᠶᠢᠨ ᠲᠣᠭᠠᠨ ᠤ ᠤ ᠬᠠᠭᠠ ᠨ᠊ ᠤ ᠲᠣ ᠷ᠊ ᠠ ᠰᠣᠨᠢ ᠷᠬᠠᠯ ᠲᠤ ᠪᠠᠭ ᠠ ᠲᠤ ᠭᠤᠢ ᠯᠠᠩ ᠤᠨ 10 ᠨᠡᠷ ᠡ ᠰᠤ ᠷᠣᠭᠴ ᠢ ᠶᠢᠨ ᠨᠠᠰ ᠤᠨ ᠤ ᠪᠠᠢ ᠳᠠᠯ ᠨᠢ ᠳᠠ ᠷᠠᠭᠠᠬ ᠢ ᠮ᠊ ᠡᠲᠦ᠂ ᠲᠡᠭᠡᠪᠡᠯ ᠡᠨᠡ ᠬᠦ 10 ᠨᠡᠷ ᠡ ᠰ᠊ ᠤᠷᠤᠭ ᠴᠢ ᠶ᠊ ᠶᠢᠨ ᠨᠠᠰᠤ ᠨ᠊ ᠤ ᠳᠤᠮᠳ ᠠᠴᠢ ᠲᠤᠭ ᠠ ᠪᠠ ᠳᠤᠮᠳ ᠠ ᠪᠠ ᠢᠷᠢ ᠶᠢᠨ ᠲᠤᠭ ᠠ ᠨ᠊ ᠢ ᠲ᠊ ᠤᠰ ᠲᠤᠰ ︵︶ A. 13. 5 , 13. 5 B . 13. 5 , 13 C. 13 , 13. 5 D. 13 , 14 4. ᠨ᠊ ᠢᠭᠡ ᠪᠦᠯᠦᠭ ᠲᠤᠭ ᠠ ᠪᠠ ᠷᠢᠮᠲ ᠠ 30, 40, 50, 50, 60, 70, 50 ᠲᠤ ᠳᠤᠮᠳ ᠠᠴᠢ ᠲᠤᠭ ᠠ ᠨᠢ 𝑎, ᠳᠤᠮᠳ ᠠ ᠪᠠ ᠢᠷᠢ ᠶᠢᠨ ᠲᠤᠭ ᠠ ᠨ᠊ ᠢ 𝑏 , ᠮ᠊ ᠣᠳ᠋ ᠨᠢ 𝑐 ᠤ ᠣᠯᠤᠨ ᠠ᠂ ᠲᠡᠭᠡᠪᠡᠯ 𝑎 ,𝑏 ,𝑐 ᠶᠢᠨ ᠠᠬ ᠡ ᠪᠠᠭ ᠠ ᠶᠢᠨ ᠬᠣ ᠯᠪᠤᠭᠳ ᠠᠯ ᠨ᠊ ᠢ ︵︶ A. 𝑎 𝑏 𝑐, B. 𝑐 𝑏 𝑎, C. 𝑎 𝑐 𝑏, D. 𝑎 = 𝑏= 𝑐 5. ᠬᠡᠷᠪᠡ ᠲᠤᠭ ᠠ ᠪᠠ ᠷᠢᠮᠲ ᠠ 10, 9, 𝑎 , 12, 9 ᠶᠢᠨ ᠳᠤᠮᠳ ᠠᠴᠢ ᠲᠤᠭ ᠠ ᠨ᠊ ᠢ 10 ᠪᠣᠯ᠂ ᠡᠨᠡ ᠪᠦᠯᠦᠭ ᠲᠤᠭ ᠠ ᠪᠠ ᠷᠢᠮᠲ ᠠ ᠶᠢ ᠨ᠊ ᠰ᠊ ᠠᠷᠨᠢᠴ ᠠ ᠨ᠊ ᠢ ︵︶ A. 1 B . 1. 2 C . 0. 9 D. 1. 4 6. ᠠ᠂ ᠡ ᠬᠤᠶ ᠠᠷ ᠪᠦᠯ ᠦᠭ ᠲ᠊ ᠣᠭ ᠠ ᠪᠠᠷᠢ ᠮᠲᠠ ᠶᠢᠨ ᠳᠤᠮᠳ ᠠᠴᠢ ᠲ᠊ ᠣᠭ ᠠ ᠨᠢ ᠴᠦ᠋ᠮ 3, ᠠ ᠪᠦᠯᠦᠭ ᠲᠤᠭ ᠠ ᠪᠠᠷᠢ ᠮᠲᠠ ᠶᠢᠨ ᠰᠠᠷᠨ ᠢᠴᠠ ᠨᠢ S ᠠ 2 , ᠡ ᠪᠦᠯ ᠦᠭ ᠲ᠊ ᠣᠭ ᠠ ᠪᠠᠷ ᠢᠮᠲᠠ ᠶᠢᠨ ᠰᠠᠷᠨᠢ ᠴᠠ ᠨᠢ S ᠡ 2 ᠪᠤ ᠯᠤᠨ ᠠ᠂ ᠲ᠊ ᠡᠭᠡᠪᠡ ᠯ᠊ ᠳᠠᠷᠠᠭᠠᠬ ᠢ ᠳ᠋᠊ ᠦᠩᠨᠡᠯ ᠲᠡ ᠳ᠋᠊ ᠦ ᠵᠦ᠋ ᠤ ᠪᠤ ᠯᠬᠤ ᠨᠢ ︵︶ A. ᠠ ᠪᠦᠯᠦᠭ ᠲᠤᠭ ᠠ ᠪᠠ ᠷᠢᠮᠲ ᠠ ᠶᠢ ᠨ᠊ ᠬᠡᠯᠪᠡᠯ ᠵᠡᠯᠲ ᠡ ᠨ᠊ ᠢ ᠡ ᠪᠦᠯ ᠦᠭ ᠲᠤᠭ ᠠ ᠪᠠ ᠷᠢᠮᠲ ᠠ ᠶᠢ ᠨ᠊ ᠬᠡᠯᠪᠡᠯ ᠵᠡᠯᠲ ᠡ ᠡ ᠴᠡ ᠠᠬ ᠡ᠃ ᠨᠠᠰᠤ ᠬᠦᠮ ᠦᠨ ᠦ ᠲᠤᠭ ᠠ 12 1 13 4 14 4 15 1 B. ᠠ ᠪᠦᠯᠦᠭ ᠲᠤᠭ ᠠ ᠪᠠ ᠷᠢᠮᠲ ᠠ ᠶᠢ ᠨ᠊ ᠬᠡᠯᠪᠡᠯ ᠵᠡᠯᠲ ᠡ ᠨᠢ ᠡ ᠪᠦᠯᠦᠭ ᠲᠤᠭ ᠠ ᠪᠠ ᠷᠢᠮᠲ ᠠ ᠶᠢ ᠨ᠊ ᠬᠡᠯᠪᠡᠯ ᠵᠡᠯᠲ ᠡ ᠡ ᠴᠡ ᠤ ᠠᠭ ᠠ᠃ C. ᠠ ᠪᠦᠯᠦᠭ ᠲᠤᠭ ᠠ ᠪᠠ ᠷᠢᠮᠲ ᠠ ᠶᠢ ᠨ᠊ ᠬᠡᠯᠪᠡᠯ ᠵᠡᠯᠲ ᠡ ᠪᠠ ᠡ ᠪᠦᠯ ᠦᠭ ᠲᠤᠭ ᠠ ᠪᠠ ᠷᠢᠮᠲ ᠠ ᠶᠢ ᠨ᠊ ᠬᠡᠯᠪᠡᠯ ᠵᠡᠯᠲ ᠡ ᠨ᠊ ᠢ ᠠ ᠳᠠᠯᠢ᠃ D. ᠠ ᠪᠦᠯᠦᠭ ᠲᠤᠭ ᠠ ᠪᠠ ᠷᠢᠮᠲ ᠠ ᠶᠢ ᠨ᠊ ᠬᠡᠯᠪᠡᠯ ᠵᠡᠯᠲ ᠡ ᠪᠠ ᠡ ᠪᠦᠯᠦᠭ ᠲᠤᠭ ᠠ ᠪᠠ ᠷᠢᠮᠲ ᠠ ᠶᠢ ᠨ᠊ ᠬᠡᠯᠪᠡᠯ ᠵᠡᠯᠲ ᠡ ᠶᠢ ᠠ ᠳᠠᠯᠢ ᠲᠬᠠ ᠬᠤ ᠶ᠊ ᠶᠢᠨ ᠠ ᠷᠭ ᠠ ᠦᠭᠡᠢ᠃ 7. ᠨᠢᠭᠡᠨ ᠪᠠᠢ ᠭᠤᠯᠭ ᠠ ᠨ᠊ ᠢ ᠠ ᠵᠢᠯᠲ ᠠᠳ ᠢ ᠶᠠᠨ ᠵᠣᠬᠢ ᠶᠠᠨ ᠪᠠᠢ ᠭᠤᠯᠵᠤ ᠮᠣᠳᠤ ᠵᠶᠢᠯ ᠠᠬᠤ ᠬᠦᠳ ᠡᠯᠭᠡᠭ ᠠ ᠳ᠋᠊ ᠤ ᠣᠷᠤᠯ ᠴᠠᠭᠤ ᠯᠪᠠ᠂ ᠵᠶᠢᠯ ᠠᠭᠰᠠᠨ ᠮᠣᠳ ᠤᠨ ᠤ ᠲᠣ ᠬ᠋᠊ ᠠ ᠪᠠ ᠬ᠊ ᠦᠮᠦᠨ ᠦ ᠲᠣᠭᠠᠨ ᠤ ᠬ᠊ ᠣᠭᠤᠷ ᠤᠨᠳᠤ ᠬᠢ ᠬ᠊ ᠣᠯᠪᠤ ᠭᠳᠠᠯ ᠨᠢ ᠵ᠊ ᠢᠷᠤᠭ ᠮᠡᠲᠦ᠂ ᠳᠠᠷᠠ ᠭᠠᠬᠢ ᠬᠡᠯᠡᠯ ᠭᠡ ᠳ᠋᠊ ᠦ ᠵᠦ᠋ ᠤ ᠪᠤ ᠰᠤ ᠤ ᠣᠯᠬᠤ ᠨᠢ ︵︶ A. ᠲᠤᠰ ᠤᠳ ᠠᠭᠠᠨ ᠤ ᠮ᠊ ᠣᠳᠤ ᠵ᠊ ᠠᠢᠯᠠᠬᠤ ᠬᠦᠳ ᠡᠯᠭᠡᠭ ᠠ ᠳ᠋᠊ ᠦ ᠨᠡᠢ ᠲᠡ 30 ᠬᠦᠮ ᠦᠨ ᠣᠷᠤᠯ ᠴᠠᠵᠠ ᠢ᠃ B. ᠬᠦᠮ ᠦᠨ ᠤ ᠦᠷᠢ ᠶᠢᠨ ᠵᠶᠢᠯ ᠠᠭᠰᠠᠨ ᠮᠣᠳ ᠤᠨ ᠤ ᠲᠣ ᠭᠠᠨ ᠤ ᠮ᠊ ᠣᠳ᠋ ᠨᠢ 4 ᠰᠠᠭᠤ ᠷᠢ᠃ C. ᠬᠦᠮ ᠦᠨ ᠪᠦᠷᠢ ᠶᠢᠨ ᠵᠶᠢᠯ ᠠᠭᠰᠠᠨ ᠮᠣ ᠳᠤᠨ ᠤ ᠲᠣᠭᠠᠨ ᠤ ᠳᠤᠮ ᠳᠠ ᠪᠠᠢ ᠷᠢ ᠶ᠊ ᠶᠢᠨ ᠲᠤᠭ ᠠ ᠨᠢ 5 ᠰᠠᠭᠤ ᠷᠢ᠃ D. ᠬᠦᠮᠦᠨ ᠤ ᠦᠷᠢ ᠶᠢᠨ ᠵᠶᠢᠯ ᠠᠭᠰᠠᠨ ᠮᠣᠳ ᠤᠨ ᠤ ᠲ᠊ ᠣᠭᠠᠨ ᠤ ᠳᠤᠮ ᠳᠠᠴᠢ ᠲ᠊ ᠣᠭ ᠠ ᠨᠢ 5 ᠰ᠊ ᠠᠭᠤᠷᠢ᠃ 8. ᠨᠢᠭᠡᠨ ᠭᠠᠵᠠ ᠷ᠊ ᠤᠨ ᠠᠭᠤ ᠷ᠊ ᠠ ᠮᠢᠰᠭᠤ ᠯ᠊ ᠤᠨ ᠬᠤ ᠪᠢᠷᠠᠯ ᠲᠠ ᠶᠢᠨ ᠪᠠᠢ ᠳᠠᠯ ᠢ ᠣ ᠢᠯᠠᠭᠠᠬᠤ ᠶᠢᠨ ᠲᠤ ᠯᠦᠭᠡ᠂ ᠨᠢᠭᠡᠨ ᠰᠤ ᠷᠤᠯᠴ ᠠᠬᠤ ᠳᠤᠭᠤ ᠢᠯᠠᠩ ᠡᠪᠦᠯ ᠤᠨ ᠠᠮᠠᠷᠠ ᠯᠲᠠ ᠲᠤ ᠲᠤᠰ ᠭᠠᠵᠠ ᠷ᠊ ᠤᠨ ᠳᠠᠷᠠᠭᠠᠯ ᠠᠭᠰᠠᠨ ᠶᠢ ᠷᠭᠤᠭᠠᠨ ᠡᠳᠦᠷ ᠤᠨ ᠬᠠᠮᠤ ᠬ᠋᠊ ᠥᠨᠳ ᠦᠷ ᠠ ᠭᠠᠷ ᠤᠨ ᠳᠤᠯ ᠠᠭᠠᠴ ᠠ ᠵ᠊ ᠢ ᠲ᠊ ᠡᠮᠳᠡᠭ ᠯᠡᠭᠰᠡᠨ ᠨᠢ ᠳᠠᠷᠠ ᠭᠠᠬᠢ ᠮᠡᠲ ᠦ ︵ᠨᠢᠭᠡᠴ ᠢ᠄ ℃︶᠄ −6 , −3 , 𝑥 , 2 , − 1 , 3 ᠬᠡᠷᠪᠡ ᠡᠨᠡ ᠪᠦᠯ ᠦᠭ ᠲᠤᠭ ᠠ ᠪᠠ ᠷᠢᠮᠲ ᠠ ᠶᠢ ᠨ᠊ ᠲᠤ ᠮᠳᠠ ᠪᠠᠢ ᠷᠢ ᠶ᠊ ᠶᠢᠨ ᠲᠤᠭ ᠠ ᠨ᠊ ᠢ − 1 ᠤ ᠣᠯ ᠳᠠᠷᠠ ᠭᠠᠬᠢ ᠳᠦ᠋ ᠩᠨᠡᠯ ᠲᠡ ᠲᠤ ᠵ᠊ ᠦᠪ ᠤ ᠣᠯᠬᠤ ᠨᠢ ︵︶ A. ᠲᠤ ᠮᠳᠠᠴ ᠢ ᠲ᠊ ᠣᠭ ᠠ ᠨᠢ −1 B. ᠬᠠᠮᠤᠭ ᠳᠣᠣ ᠷ᠊ ᠠ ᠳᠤᠯ ᠠᠭᠠᠴ ᠠ ᠨ᠊ ᠢ − 6 C. ᠮᠣᠳ᠋ ᠨᠢ −1 D. ᠰᠠᠷᠨᠢ ᠴᠠ ᠨ᠊ ᠢ 8 9. ᠰᠣᠳ ᠤᠨ ᠠᠮᠠᠷ ᠨᠢᠭ ᠠ ᠰ᠊ ᠤᠷᠭᠠ ᠭᠤᠯᠢ ᠢᠢᠨ ᠪᠠᠭ ᠰᠢ ᠡ ᠯᠰᠡᠬᠦ ᠰᠢᠯ ᠭᠠᠯᠲ ᠠ ᠳ᠋᠊ ᠤ ᠣ ᠷᠣᠯᠴ ᠠᠪᠠ᠃ ᠲ᠊ ᠡᠭᠦᠨ ᠦ ᠪᠢᠷ ᠦ ᠨ᠊ ᠰ᠊ ᠢᠯᠭᠠ ᠯᠲᠠ᠂ ᠨ᠊ ᠢᠭᠤᠷ ᠳᠠᠨ ᠰᠢᠯᠭ ᠠᠯᠲᠠ᠂ ᠴ᠊ ᠢᠳᠠᠪ ᠤᠷᠢ ᠢ ᠶᠢᠨ ᠰᠢᠯᠭᠠᠯ ᠲᠠ ᠲᠠᠬᠢ ᠣᠯ ᠣᠭᠰ ᠠᠨ ᠬ᠊ ᠤᠪᠢ ᠨᠢ ᠲᠤᠰ ᠲᠤᠰ 85 ᠬᠤᠪ ᠢ᠂ 80 ᠬᠤᠪ ᠢ᠂ 90 ᠬᠤᠪ ᠢ ᠪᠦ ᠭᠡᠳ ᠲᠡᠰ ᠳᠠᠷ ᠠᠭᠠᠯ ᠠᠨ 2 ∶3∶ 5 ᠢ ᠶᠢᠨ ᠬ᠊ ᠠᠷᠢᠴ ᠠᠯ ᠢᠢ ᠠᠷ ᠬ᠊ ᠤᠪᠢ ᠢᠢ ᠨᠢ ᠤ ᠣᠳᠣᠪ ᠠᠯ᠂ ᠲᠡᠭᠦ ᠨ᠊ ᠦ ᠣᠯ ᠤᠭᠰᠠᠨ ᠬᠢᠷ ᠢ ᠪᠦ ᠲᠦᠮᠵ ᠢ ᠨᠢ ︵︶ A. 255 ᠬᠤ ᠪᠢ B . 84 ᠬᠤ ᠪᠢ C. 84. 5 ᠬ᠊ ᠤᠪᠢ D. 86 ᠬᠤ ᠪᠢ 10. ᠠᠮᠠᠷ ᠨᠢᠭᠡᠨ ᠰᠤ ᠷᠭᠠᠭᠤᠯ ᠢ ᠶᠢ ᠨ᠊ ᠠ ᠩᠬ ᠠ ᠭᠤ ᠷᠪᠠ ᠶᠢᠨ ᠰᠤᠷᠤᠭ ᠴᠢᠳ ᠤᠨ ᠪᠡᠶ ᠡ ᠲᠠᠮ ᠢᠷ ᠤ ᠨ᠊ ᠬᠢᠴᠢ ᠶᠡᠯ ᠦᠨ ᠪᠠᠢ ᠴᠠᠭᠠᠯ ᠲᠠ ᠳ᠋᠊ ᠤ᠂ ᠨ᠊ ᠢᠭᠡᠨ ᠪᠠᠭ ᠠ ᠲᠤ ᠭᠤᠢ ᠯᠠᠩ ᠤᠨ 5 ᠨ᠊ ᠡᠷ ᠡ ᠰᠤᠷ ᠤᠭᠴ ᠢ ᠶᠢᠨ ᠬᠢᠷᠢ ᠪᠦᠲ ᠦᠮᠵᠢ ᠨᠢ ᠵᠠᠢ ᠯᠠᠭᠰ ᠠᠨ ᠮᠤ ᠳᠤᠨ ᠤ ᠲᠣ ᠬ᠋᠊ ᠠ ᠬᠦᠮ ᠦᠨ ᠦ ᠲᠣ ᠬ᠋᠊ ᠠ 3 4 4 10 5 8 6 6 7 2 ᠳᠠᠷᠠᠭᠠᠬ ᠢ ᠬᠦᠰ ᠦᠨᠦᠭ ᠲᠤ ᠮ᠊ ᠡᠲᠦ᠄ ᠡᠭᠦᠨ ᠲᠤ ᠬᠤᠶ ᠠᠷ ᠲ᠊ ᠣᠭ ᠠ ᠪᠠᠷᠢ ᠮᠲᠠ ᠨᠢ ᠬ᠊ ᠠᠯᠬᠠᠯ ᠠᠭᠳᠠ ᠪᠠ᠂ ᠲᠡᠭᠡᠪᠡᠯ ᠬᠠᠯ ᠬᠠᠯᠠᠭ ᠳᠠᠭᠰ ᠠᠨ ᠲ᠊ ᠣᠭ ᠠ ᠨᠢ ᠲᠤᠰ ᠲᠤᠰ ︵︶ A. 35, 2 B .36, 4 C. 35, 3 D. 36, 3 ᠬᠤᠶ ᠠᠷ᠂ ᠬ᠊ ᠠᠭᠠᠯᠲ ᠠ ᠲ᠊ ᠠᠭᠯᠠᠬᠤ ᠰᠡᠳᠦᠪ᠃ ︵ᠪᠠᠭ ᠠ ᠰ᠊ ᠡᠳᠦᠪ ᠪᠦᠷ ᠢ 4 ᠬᠤ ᠪᠢ᠂ ᠨ᠊ ᠢᠲ ᠡ 32 ᠬᠤ ᠪᠢ︶ 11. ᠨᠢᠭᠡ ᠪᠦᠯ ᠦᠭ ᠡ ᠶᠡᠷᠬᠦ ᠪᠦᠬ ᠦᠯᠢ ᠲᠤᠭ ᠠ 2, 3, 4, 𝑥 ᠢ ᠡᠩᠡ ᠠᠴᠠ ᠪᠠᠭ ᠠ ᠲᠡᠰ ᠢ ᠶᠢ ᠭᠰᠠᠭᠠᠪᠠ᠂ ᠡᠨᠡ ᠪᠦᠯᠦᠭ ᠲᠤᠭ ᠠ ᠪᠠ ᠷᠢᠮᠲ ᠠ ᠶᠢ ᠨ᠊ ᠲᠤ ᠮᠳᠠ ᠪᠠᠢ ᠷᠢ ᠶ᠊ ᠶᠢᠨ ᠲ᠊ ᠣᠭ ᠠ ᠪᠠ ᠳᠤᠮᠳ ᠠᠴᠢ ᠲᠤᠭ ᠠ ᠨᠢ ᠬᠠᠷᠢ ᠯᠴᠠᠨ ᠲᠡᠩ ᠴᠡᠭᠦ ᠦ᠂ ᠲᠡᠭᠡᠪᠡᠯ 𝑥 ᠦᠨ ᠬ᠊ ᠡᠮᠵᠢᠭ ᠳᠡᠯ ᠨ᠊ ᠢ ______ ____. 12. ᠨᠢᠭᠡ ᠪᠦᠯ ᠦᠭ ᠲ᠊ ᠣᠭ ᠠ ᠪᠠᠷᠢ ᠮᠲᠠ 2, 3, 𝑎 , 5, 6 ᠶᠢᠨ ᠳᠤᠮ ᠳᠠᠴᠢ ᠲ᠊ ᠣᠭ ᠠ ᠨᠢ 4 ᠪᠤ ᠯ᠊᠂ ᠡ ᠨᠡ ᠪᠦᠯᠦᠭ ᠲᠤᠭ ᠠ ᠪᠠ ᠷᠢᠮᠲ ᠠ ᠶᠢ ᠨ᠊ ᠰ᠊ ᠠᠷᠨᠢᠴ ᠠ ᠨ᠊ ᠢ ___ ______. 13. 2, 3, 5, 𝑚 ,𝑛 ᠵᠡᠷᠭᠡ ᠲᠠᠪ ᠤᠨ ᠲᠤᠭ ᠠ ᠪᠠ ᠷᠢᠮᠲ ᠠ ᠶ᠊ ᠶᠢᠨ ᠰᠠᠷᠨᠢ ᠴᠠ ᠨᠢ 2 ᠪᠣᠯ᠂ 3, 4, 6, 𝑚 + 1, 𝑛+ 1 ᠵ᠊ ᠡᠷᠭᠡ ᠲᠠᠪ ᠤᠨ ᠲ᠊ ᠣᠭ ᠠ ᠪᠠᠷᠢ ᠮᠲᠠ ᠶᠢᠨ ᠰᠠᠷᠨᠢ ᠴᠠ ᠨ᠊ ᠢ _ ______ __ 14. ᠠ᠂ ᠡ᠂ ᠢ ᠬ᠋᠊ ᠤᠷᠪᠠ ᠨ᠊ ᠬᠦᠮ ᠦᠨ ᠰᠣᠷ ᠬᠠᠷᠪᠤ ᠯᠲᠠ ᠶ᠊ ᠶᠢᠨ ᠮ᠊ ᠦᠷᠦ ᠢᠴᠡᠭᠡᠨ ᠬᠢᠪ ᠡ᠂ ᠬᠦᠮᠦᠨ ᠪᠦᠷᠢ ᠶᠢᠨ 10 ᠤ ᠲᠠᠭᠠᠨ ᠤ ᠬᠠᠷᠪᠤ ᠭᠰᠠᠨ ᠲᠤ ᠮᠳᠠᠴ ᠢ ᠬᠢ ᠷᠢ ᠤ ᠦᠲᠦᠮᠵ ᠢ ᠨᠢ ᠴᠦ᠋ᠮ 8. 9 ᠴ᠊ ᠠᠭᠠᠷᠢ ᠬ᠋᠊ ᠪᠠ ᠢᠵᠤ᠂ ᠰᠠᠷᠨᠢ ᠴᠠ ᠨᠢ ᠲᠤᠰ ᠲ᠊ ᠤᠰ S ᠠ 2 = 0.53 , S ᠡ 2= 0.51 , S ᠢ 2= 0.43 ᠪᠣᠯ ᠤᠨ ᠠ᠂ ᠲ᠊ ᠡᠭᠡᠪᠡᠯ ᠲ᠊ ᠤᠰ ᠭᠤᠷᠪᠠ ᠨ᠊ ᠬᠦᠮ ᠦᠨ ᠠᠴᠠ ᠬᠢᠷᠢ ᠪᠦᠲ ᠦᠮᠵᠢ ᠨᠢ ᠬ᠊ ᠠᠮᠤᠭ ᠤᠨ ᠲᠣᠭᠲᠠᠪᠤ ᠷᠢᠲᠠᠢ ᠪᠣᠯᠬ ᠤ ᠨᠢ _____ ︵︽ᠠ︾᠂ ︽ᠡ︾᠂ ︽ᠢ︾ ᠡᠴ ᠡ ᠲ᠊ ᠠᠭᠯᠠ᠃︶ 15. ᠨᠢᠭᠡᠨ ᠠᠩ ᠬᠢ ᠶ᠊ ᠶᠢᠨ 50 ᠨᠡᠷ ᠡ ᠰ᠊ ᠤᠷᠤᠭ ᠴᠢ ᠶ᠊ ᠶᠢᠨ ᠲᠤ ᠮᠳᠠᠴ ᠢ ᠪᠡᠶ ᠡ ᠶᠢ ᠨ᠊ ᠦᠨ ᠳᠦᠷ ᠨᠢ 1 66 𝑐𝑚 , 20 ᠨᠡᠷ ᠡ ᠬᠡᠤᠬ ᠠ ᠰ᠊ ᠤᠷᠤᠭ ᠴᠢ ᠶ᠊ ᠶᠢᠨ ᠳᠤᠮᠳ ᠠᠴᠢ ᠤ ᠢ ᠡ ᠶᠢᠨ ᠦᠨ ᠳᠦᠷ ᠨ᠊ ᠢ 16 3𝑐𝑚 , ᠲ᠊ ᠡᠭᠡᠪᠡᠯ 30 ᠨᠡᠷ ᠡ ᠬᠦᠦ ᠰᠤᠷᠤᠭ ᠴᠢ ᠶ᠊ ᠶᠢᠨ ᠳᠤᠮᠳ ᠠᠴᠢ ᠪᠡᠶ ᠡ ᠶᠢ ᠨ᠊ ᠦᠨ ᠳᠦᠷ ᠨᠢ _____ ____ 𝑐𝑚 . 16. ᠬᠤᠶ ᠠᠷ ᠪᠦᠯ ᠦᠭ ᠲ᠊ ᠣᠭ ᠠ ᠪᠠᠷᠢ ᠮᠲᠠ 3, 𝑎 , 2 𝑏, 5 ᠪᠠ 𝑎, 6, b ᠶᠢᠨ ᠲᠤ ᠮᠳᠠᠴ ᠢ ᠲ᠊ ᠣᠭ ᠠ ᠨᠢ ᠴ᠊ ᠦᠮ 6, ᠬᠡᠷᠪᠡ ᠡ ᠨᠡ ᠤ ᠦᠯᠦᠭ ᠲᠣ ᠬ᠋᠊ ᠠ ᠪᠠᠷᠢ ᠮᠲᠠ ᠶᠢ ᠨ᠊ ᠢᠯᠡᠭᠦ ᠯᠵᠦ ᠨᠢᠭᠡ ᠪᠦᠯ ᠦᠭ ᠲ᠊ ᠣᠭ ᠠ ᠪᠠᠷᠢ ᠮᠲᠠ ᠪᠣᠯ ᠭᠠᠪᠠ ᠯ᠊᠂ ᠡᠨᠡ ᠤ ᠦᠯᠦᠭ ᠲᠤᠭ ᠠ ᠪᠠ ᠷᠢᠮᠲ ᠠ ᠶᠢ ᠨ᠊ ᠳᠤᠮᠳ ᠠ ᠪᠠ ᠢᠷᠢ ᠶᠢᠨ ᠲᠤᠭ ᠠ ᠨ᠊ ᠢ ___ __ ____. 17. ᠨᠢᠭᠡ ᠪᠦᠯ ᠦᠭ ᠲᠤᠭ ᠠ ᠪᠠ ᠷᠢᠮᠲ ᠠ ᠶᠢ ᠨ᠊ ᠰ᠊ ᠠᠷᠨᠢᠴ ᠠ ᠨ᠊ ᠢ 0, ᠲᠤ ᠮᠳᠠ ᠪᠠᠢ ᠷᠢ ᠶ᠊ ᠶᠢᠨ ᠲᠤᠭ ᠠ ᠨ᠊ ᠢ 𝑎 , ᠲᠡᠭᠡᠪᠡᠯ ᠡᠨᠡ ᠤ ᠦᠯᠦᠭ ᠲᠤᠭ ᠠ ᠪᠠ ᠷᠢᠮᠲ ᠠ ᠶᠢ ᠨ᠊ ᠲᠤ ᠮᠳᠠᠴ ᠢ ᠲ᠊ ᠣᠭ ᠠ ᠨᠢ ___ ___ ___. 18. ᠬᠡᠷᠪᠡ 𝑚 ᠪᠤᠳ ᠠᠭᠠᠯ ᠢ ᠲ᠊ ᠣᠭᠠᠨ ᠤ ᠳᠤᠮᠳ ᠠᠴᠢ ᠲᠤᠭ ᠠ ᠨ᠊ ᠢ 𝑥 ,𝑛 ᠪᠤᠳ ᠠᠭᠠᠯ ᠢ ᠲ᠊ ᠣᠭᠠᠨ ᠤ ᠳᠤᠮᠳ ᠠᠴᠢ ᠲᠤᠭ ᠠ ᠨ᠊ ᠢ y ᠪᠣᠯ ︵𝑚 + 𝑛︶ ᠪᠤ ᠳᠠᠭᠠᠯ ᠢ ᠲ᠊ ᠣᠭᠠᠨ ᠤ ᠳᠤᠮᠳ ᠠᠴᠢ ᠲ᠊ ᠣᠭ ᠠ ᠨᠢ _______ __ ᠭᠤᠷᠪᠠ᠂ ᠪᠣᠳ ᠤᠵᠤ ᠬᠠᠷᠢ ᠭᠤᠯᠬᠤ ᠰᠡᠳᠦᠪ᠃ ︵ᠨᠡᠢ ᠲᠡ 58 ᠬᠤ ᠪᠢ︶ 19. ︵12 ᠬᠤ ᠪᠢ︶ ᠲᠠᠷ ᠢᠶᠠᠴ ᠢᠳ ᠤᠨ ᠣᠷᠤᠯ ᠬ᠋᠊ ᠠ ᠶᠢ ᠨ᠊ ᠡᠮᠡᠭᠳ ᠡᠭᠦᠯᠬ ᠦ ᠶᠢᠨ ᠲᠦ᠋ ᠯᠦᠭᠡ ᠲᠤ ᠰᠬᠤᠨ ᠤ ᠨᠣᠮ ᠧᠷ ᠣᠯᠣ ᠭᠰᠠᠨ ᠬᠤᠪ ᠢ 1 38 2 34 3 ■ 4 37 5 40 ᠰᠠ ᠷᠨᠢᠴᠡ ■ ᠲᠤ ᠮᠳᠠᠴᠢ ᠬᠢᠷᠢ ᠪᠦᠳ ᠦᠮᠵᠢ 37 ᠺᠠᠳᠷ ᠲᠤ ᠰᠬᠤᠨ ᠤ ᠠ ᠷᠠᠳ ᠢ ᠳᠠᠭᠠ ᠭᠤᠯᠤ ᠨ᠊ ᠰ᠊ ᠠᠢᠨ ᠲᠤ ᠷ᠊ ᠠ ᠠ ᠴᠠ ᠤ ᠠᠨ ᠪᠡᠯᠡ ᠣᠷᠤᠭᠤ ᠯᠤᠨ ᠲᠠᠬ ᠢᠶ ᠠ ᠲᠡᠵᠢ ᠭᠡᠬᠦ ᠲᠠᠯᠠᠪ ᠤᠷ ᠢ ᠡᠷᠬᠢ ᠯᠡᠵᠡᠢ᠃ ᠲᠠᠯᠠᠪ ᠤᠷ ᠢ ᠪᠠᠢ ᠭᠤᠯᠬᠤ ᠦᠶ ᠡᠰ ᠬᠤᠳ ᠠᠯᠳᠤ ᠵᠤ ᠠᠪᠴᠢ ᠷᠠᠭᠰᠠ ᠨ᠊ 1000 ᠲ᠊ ᠠᠬᠢᠶᠠᠨ ᠴᠣᠷᠪᠠ ᠬ᠋᠊ ᠠ ᠨᠢ ᠨᠠᠷᠢ ᠯᠢᠭ ᠠᠷᠠᠴ ᠢᠯᠠᠯᠲ ᠠ ᠪᠠ ᠷ᠊ ᠳᠠ ᠮᠵᠢᠨ᠂ ᠬ᠊ ᠤᠳᠠᠯ ᠳᠤᠵᠤ ᠪᠣᠯ ᠬᠣ ᠪᠣᠯᠤ ᠭᠰᠠᠨ ᠪᠠᠢ ᠨ᠊ ᠠ᠃ ᠳᠠᠷᠠᠭᠠᠬ ᠢ ᠬᠦᠰ ᠦᠨᠦᠭ ᠲᠤ ᠪᠣᠯ ᠡᠳᠡᠭᠡᠷ ᠲᠠᠬᠢ ᠶ᠊ ᠠ ᠶ᠊ ᠢ ᠪᠤ ᠷᠤᠯᠠᠭᠤ ᠯᠬᠤ ᠦᠶ ᠡᠰ ᠦᠨ ᠮᠠᠰ ᠤᠨ ᠪᠦᠷ ᠢᠳᠭᠡᠯ ᠦᠨ ᠲᠤᠭ ᠠ ᠪᠠ ᠷᠢᠮᠲ ᠠ ᠪᠣᠯᠤ ᠨ᠊ ᠠ᠃ ︵1︶ ᠮᠠᠰ ᠨ᠊ ᠢ ᠠ ᠯᠢ ᠬ᠊ ᠡᠮᠵᠢᠭ ᠳᠡᠯ ᠲᠤ ᠤ ᠠᠢᠬ ᠤ ᠲ᠊ ᠠᠬᠢᠶ ᠠ ᠨᠢ ᠬᠠᠮᠤ ᠬ᠋᠊ ᠤᠨ ᠣᠯ ᠠᠨ ᠤ ᠤᠢ︖ ︵2︶ ᠲᠤ ᠮᠳᠠ ᠨ᠊ ᠢ ᠣ ᠷᠤᠰᠢ ᠬᠤ ᠮ᠊ ᠠᠰ ᠨ᠊ ᠢ ᠬᠡᠳ ᠦᠢ ᠤ ᠤᠢ︖ 20. ︵12 ᠬᠤ ᠪᠢ︶ ᠠ᠂ ᠡ ᠬᠤᠶ ᠠᠷ ᠰ᠊ ᠤᠷ ᠬᠠᠷᠪᠤ ᠯᠲᠠ ᠶᠢᠨ ᠲᠠᠮᠢ ᠷᠴᠢᠨ ᠠᠴᠠ ᠨᠢᠭᠡ ᠶᠢ ᠨᠢ ᠰᠣᠩ ᠭᠤᠵᠤ ᠤᠷᠤᠯ ᠳᠤᠭᠠᠨ ᠲᠤ ᠤᠷᠤᠯ ᠴᠠᠭᠤ ᠯᠬᠤ ᠭᠡᠵᠦ ᠪᠠᠢ ᠨ᠊ ᠠ᠂ ᠲᠡᠳ ᠠ ᠦ ᠬᠢᠷᠢ ᠪᠦᠲ ᠦᠮᠵᠢ ᠶᠢ ᠤ ᠢᠯᠠᠭᠠᠬ ᠤ ᠶᠢ ᠨ᠊ ᠲᠦ᠋ ᠯᠦᠭᠡ ᠨᠢᠭᠡ ᠤᠳ ᠠᠭᠠᠨ ᠤ ᠪᠠ ᠢᠴᠠᠭᠠᠯ ᠲᠠ ᠬᠢᠵᠦ 10 ᠤᠳ ᠠᠭᠠᠨ ᠤ ᠰ᠊ ᠤᠷ ᠬ᠊ ᠠᠷᠪᠤᠯ ᠲᠠ ᠶ᠊ ᠶᠢᠨ ᠬᠢᠷᠢ ᠪᠦᠲ ᠦᠮᠵᠢ ᠲᠤ ᠳᠠᠷᠠᠭᠠᠬ ᠢ ᠮ᠊ ᠡᠲᠦ ᠲᠡᠮᠳ ᠡᠭᠯᠡᠯ ᠬᠢᠪᠡ᠃ ᠠ᠄ 9, 6, 7, 6, 2, 7, 7, 9, 8, 9 ᠡ᠄ 2, 4, 6, 8, 7, 7, 8, 9, 9, 10 ︵1︶ ᠠ᠂ ᠡ ᠬᠤᠶ ᠠᠷ ᠬ᠊ ᠦᠮᠦᠨ ᠦ ᠰᠤ ᠷ᠊ ᠬ᠊ ᠠᠷᠪᠤᠯ ᠲᠠ ᠶᠢᠨ ᠬᠢᠷᠢ ᠪᠦᠲ ᠦᠮᠵᠢ ᠶᠢᠨ ᠰᠠᠷᠨᠢ ᠴᠠ ᠶᠢ ᠲ᠊ ᠤᠰ ᠲᠤᠰ ᠣᠯ᠃ ︵2︶ ᠲᠠᠨ ᠤ ᠦᠵᠠᠬ ᠦ ᠪᠠᠷ ᠬᠡᠨ ᠢ ᠨ᠊ ᠢ ᠰ᠊ ᠣᠩᠭᠤ ᠵᠤ ᠤᠷᠤᠯ ᠳᠤᠭᠠᠨ ᠲᠤ ᠣᠷᠤ ᠯᠴᠠᠭᠤ ᠯᠪᠠᠯ ᠵᠣᠬᠢ ᠰᠲᠠᠢ ᠪᠤᠢ︖ ︵ᠰ᠊ ᠢᠯᠲᠠᠭᠠᠨ ᠢ ᠨ᠊ ᠢ ᠲ᠊ ᠤᠣᠳᠤ ᠷᠬᠠᠢ ᠯᠠ᠃︶ ᠲᠠᠪᠳ ᠠᠭᠳᠠ ᠭᠰᠠᠨ ᠲᠣ ᠬ᠋᠊ ᠠ ᠮᠠ ᠰ᠊ / kg 112 1.0 226 1.2 323 1.5 241 1.8 98 2 21 . ︵10 ᠬᠤ ᠪᠢ︶ ᠨᠢᠭᠡᠨ ᠤ ᠰᠤᠨ ᠴᠦ ᠭᠦᠷᠤᠮ ᠳᠠᠬ ᠢ ᠲ᠊ ᠡᠵᠢᠭᠡᠭ ᠰᠡᠨ ᠶᠢ ᠭᠠᠰᠤ ᠨ᠊ ᠦ ᠪᠠᠢ ᠳᠠᠯ ᠢ ᠤᠢ ᠯᠭᠠᠬᠤ ᠶᠢᠨ ᠲᠦᠯ ᠦᠭᠡ᠂ ᠤ ᠰᠤᠨ ᠴᠦ ᠭᠦᠷᠤᠮ ᠤᠨ ᠠᠳᠠᠯ ᠢ ᠪᠤ ᠰᠤ ᠪᠠᠢ ᠷᠢᠨ ᠠᠴᠠ 200 ᠵᠢᠭᠠᠰ ᠤ ᠱ᠊ ᠥᠬᠦ ᠨ᠊ ᠠᠪᠴᠤ᠂ ᠶᠢ ᠭᠠᠰᠤ ᠪᠦᠷ ᠢ ᠶᠢ ᠨ᠊ ᠮ᠊ ᠠᠰ ︵ᠨᠢᠭᠡᠴ ᠢ᠄ ᠺᠢᠯᠦᠭ ᠷᠠᠮ︶ ᠢ ᠬᠡᠮ ᠵᠢᠭᠰ ᠠ ᠤ ᠦᠭᠡᠳ ᠲᠤ ᠬ᠋᠊ ᠠ ᠪᠠᠷᠢ ᠮᠲᠠ ᠪᠠᠨ ᠪᠦᠯ ᠦᠭ ᠬᠤᠪᠢ ᠶᠠᠵᠤ ᠵᠢᠷᠤ ᠬ᠋᠊ ᠲᠤ ᠦᠵᠡᠭᠦ ᠯᠦᠭᠰ ᠠ ᠮ᠊ ᠡᠲᠤ ᠰ᠊ ᠢᠯᠤᠭᠤ ᠨ᠊ ᠲ᠊ ᠦᠷᠪᠡᠯ ᠶᠢᠨ ᠵᠢᠷᠤᠭ ᠢ ᠶᠢ ᠷᠤᠵᠠᠢ᠃ ︵1︶ ᠰᠢᠯᠤ ᠭᠤᠨ ᠲᠤ ᠷᠪᠡᠯ ᠶᠢᠨ ᠵᠢᠷᠤᠭ ᠢ ᠦᠨ ᠳᠤᠰ ᠤᠯᠡᠪᠡᠯ᠂ ᠡ ᠨᠡ ᠤ ᠦᠯᠦᠭ ᠲᠤ ᠬ᠋᠊ ᠠ ᠪᠠᠷᠢ ᠮᠲᠠ ᠶᠢᠨ ᠲᠤᠮ ᠳᠠ ᠪᠠᠢ ᠷᠢ ᠵ᠊ ᠶᠢᠨ ᠲ᠊ ᠤᠭ ᠠ ᠨᠢ ︵︶ ᠬᠡᠪᠴ ᠢᠶᠠᠨ ᠲᠤ ᠤ ᠠᠢᠨ ᠠ᠃ ︵2︶ ᠲᠤᠭ ᠠ ᠪᠠᠷᠢ ᠮᠲᠠ ᠨ᠊ ᠢ 1. 00 ～1. 15 ᠶᠢ ᠨ᠊ ᠬᠤᠭᠤ ᠷᠤᠨᠳ ᠤ ᠨᠤ ᠭᠳᠠᠬᠤ ᠲᠠᠪᠲ ᠠᠮᠵᠢ ᠨᠢ ᠪᠠ ᠷᠤᠭ ︵︶᠃ ︵3︶ ᠱᠤᠬ ᠦᠭᠰᠡᠨ 200 ᠵᠢᠭᠠ ᠰᠤ ᠤ ᠦᠷᠢ ᠲᠡᠭᠡᠷ ᠠ ᠲ᠊ ᠡᠮᠲᠡᠭ ᠲᠠᠯ ᠪᠢᠵᠤ ᠤᠰᠤ ᠨ᠊ ᠳ᠋᠊ ᠤ ᠪᠤ ᠴᠠᠭᠠᠨ ᠲᠠᠯ ᠪᠢᠭᠠᠳ᠂ ᠬ᠊ ᠡᠳᠤᠨ ᠡᠳ ᠤᠷ ᠤ ᠨ᠊ ᠲ᠊ ᠠᠷᠠᠭ ᠠ ᠲ᠊ ᠠᠬᠢᠨ ᠤᠰᠤ ᠨ᠊ ᠴᠦᠭᠦ ᠷᠦᠮ ᠤᠨ ᠠᠳᠠᠯ ᠢ ᠤ ᠤᠰᠤ ᠪᠠᠢ ᠷᠢᠨ ᠠᠴᠠ 150 ᠶᠢ ᠭᠠᠰᠤ ᠱᠤᠬ ᠦᠬᠦ ᠲᠤ᠂ ᠲ᠊ ᠡᠮᠳᠡᠭ ᠲᠠᠢ ᠵᠢᠭᠠᠰ ᠤ ᠨ᠊ ᠢ 10 ᠪᠠᠢ ᠪᠠ᠃ ᠲᠤᠰ ᠤ ᠰᠤᠨ ᠴᠦᠭᠦ ᠷᠦᠮ ᠤᠨ ᠤ ᠦᠬᠦ ᠵ᠊ ᠢᠭᠠᠰ ᠤᠨ ᠦ ᠲ᠊ ᠤᠭ ᠠ ᠶᠢ ᠪᠠ ᠷᠤᠭᠴ ᠠᠭᠠᠯ ᠠᠨ ᠤ ᠤᠳᠤ᠃ 22. ︵10 ᠬᠤᠪᠢ︶ ᠨᠢ ᠭᠡᠨ ᠰᠤᠷᠭᠠᠭᠤᠯ ᠢ ᠶᠢ ᠨ᠊ ᠡ ᠷᠡᠭᠲᠡᠢ ᠶᠢᠨ ᠭᠦᠯ ᠪᠦᠮ ᠪᠦᠭᠡᠨ ᠠᠩ ᠬᠢ ᠵ᠊ ᠶᠢᠨ ᠨ᠊ ᠠᠰᠤᠨ ᠤ ᠲᠠᠷᠬ ᠠᠯᠲᠠ ᠨᠢ ᠲᠡᠭᠡᠷᠠᠬ ᠢ ᠰ᠊ ᠠᠪᠠᠭᠠᠨ ᠪᠦᠷ ᠢᠳᠭᠡᠯ ᠦᠨ ᠵᠢᠷᠤᠭ ᠲᠤ ᠦᠵᠡᠭᠦ ᠯᠦᠭᠰᠠᠨ ᠮᠡᠲ ᠤ᠃ ︵1︶ ᠮᠤᠳ᠋ ᠪᠠ ᠳᠤᠮ ᠳᠠ ᠪᠠ ᠢᠷᠢ ᠶᠢᠨ ᠲᠣ ᠬ᠋᠊ ᠠ ᠶᠢ ᠨ᠊ ᠢ ᠤᠯ᠃ ︵2︶ 14 ᠨᠠᠰ ᠤᠲᠠᠢ ᠬᠥᠮ ᠦᠨ ᠨ᠊ ᠢ ᠪᠦᠬ ᠦ ᠬᠥᠮᠦᠨ ᠲᠣ ᠭᠠᠨ ᠤ ᠵ᠊ ᠠᠭᠤᠨ ᠤ ᠬ᠊ ᠡᠳᠦ ᠶᠢ ᠡ ᠵᠡᠯᠠᠬ ᠦ ᠪᠤᠢ︖ 23 . ︵14 ᠬᠤ ᠪᠢ︶ ᠰᠢᠨ ᠡ ᠰ᠊ ᠤᠷᠤᠯ ᠬ᠋᠊ ᠠ ᠶᠢᠨ ᠬᠤᠭᠤ ᠴᠠᠭ ᠠ ᠡ ᠬᠢᠯᠠᠬ ᠦ ᠦᠶ ᠡᠰ᠂ ᠰᠤᠷᠭᠠᠭᠤᠯ ᠢ ᠶᠢ ᠨ᠊ ᠲᠠᠮᠢ ᠷ᠊ ᠤᠨ ᠲᠤ ᠭᠤᠢ ᠯᠠᠩ ᠤᠨ ᠪᠠᠭᠰᠢ ᠠᠴᠠ ᠠᠩᠬ ᠠ ᠬ᠋᠊ ᠤᠷᠪᠠ ᠶᠢᠨ ᠨᠢᠭᠡᠨ ᠠᠩ ᠬᠢ ᠶ᠊ ᠶᠢᠨ 50 ᠨᠡᠷ ᠡ ᠰ᠊ ᠤᠷᠤᠭ ᠴᠢ ᠶ᠊ ᠶᠢᠨ ᠳᠡᠭᠡ ᠰᠦ ᠦ ᠰᠦᠷᠬ ᠦ ᠪᠠᠢ ᠳᠠᠯ ᠲᠤ ᠪᠠ ᠢᠴᠠᠭᠠᠯ ᠲᠠ ᠬᠢᠵᠦ᠂ ᠪᠠ ᠢᠴᠠᠭᠠᠭ ᠰᠠᠨ ᠬᠢᠷᠢ ᠪᠦᠲ ᠦᠮᠵᠢ ᠶᠢ ᠦ ᠨᠳᠦᠰ ᠦᠯᠡᠨ ᠳᠠᠷᠠᠭᠠᠬ ᠢ ᠮᠡᠲᠦ ᠬᠤ ᠶᠠᠷ ᠪᠦᠷᠢ ᠲᠭᠡᠯ ᠦᠨ ᠵ᠊ ᠢᠷᠤᠭ ᠵᠣᠬᠢ ᠶᠠᠪᠠ᠃ ︵1︶ ᠲᠤᠰ ᠤᠳ ᠠᠭᠠᠨ ᠤ ᠪᠠᠢ ᠴᠠᠭᠠᠯ ᠲᠠ ᠲᠤ ᠣ ᠷᠤᠯᠴ ᠠᠭᠰᠠᠨ ᠰᠤ ᠷᠤᠭᠴ ᠢᠳ ᠠᠴᠠ 4 ᠬᠤᠪᠢ ᠣᠯ ᠣᠭᠰᠠᠨ ᠰᠤᠷᠤᠭ ᠴᠢ ᠨ᠊ ᠢᠲ ᠡ ᠬᠡᠳ ᠦᠢ ᠬ᠊ ᠦᠮᠦᠨ ᠪᠠᠢ ᠬᠤ ᠤ ᠤᠢ︖ ︵2︶ ᠲᠤᠰ ᠤᠳ ᠠᠭᠠᠨ ᠤ ᠤ ᠠᠢᠴ ᠠᠭᠠᠯ ᠲᠠ ᠶᠢᠨ ᠳᠤᠮᠳ ᠠᠴᠢ ᠬᠢᠷᠢ ᠤ ᠦᠲᠦᠮᠵ ᠢ ᠨᠢ ᠬᠡᠳᠦᠢ ᠬᠤ ᠪᠢ ᠤ ᠣᠢ︖ ︵3︶ ᠬᠡᠰᠡᠭ ᠬᠤᠭᠤ ᠴᠠᠭᠠᠨ ᠤ ᠤ ᠤᠯᠪᠠ ᠰᠤᠷᠠᠯ ᠢᠶᠠᠷ ᠳᠠᠮᠵᠢ ᠨ᠊᠂ ᠲ᠊ ᠠᠮᠢᠷ ᠤᠨ ᠳᠤᠭᠤ ᠢᠯᠠᠩ ᠤᠨ ᠪᠠᠭᠰᠢ ᠨᠠᠷ ᠠᠴᠠ ᠲᠤᠰ ᠠᠩ ᠬᠢ ᠶ᠊ ᠶᠢᠨ ᠰᠤᠷᠤᠭ ᠴᠢᠳ ᠤᠨ ᠳᠡᠭᠡ ᠰᠦ ᠦᠰ ᠦᠷᠬᠦ ᠪᠠᠢ ᠳᠠᠯ ᠲᠤ ᠬᠤᠶ ᠠᠳᠠᠬᠢ ᠤ ᠲᠠᠭᠠᠨ ᠤ ᠪᠠᠢ ᠴᠠᠭᠠᠯ ᠲᠠ ᠬᠢᠪᠡ᠂ ᠪᠠ ᠢᠴᠠᠭᠠᠯ ᠲᠠ ᠶᠢᠨ ᠬᠢᠷᠢ ᠪᠦᠲ ᠦᠮᠵᠢ ᠠᠴᠠ ᠦᠵᠡ ᠪᠡᠯ᠂ ᠬᠠᠮᠤᠭ ᠳᠣ ᠣᠷ ᠠ ᠬᠤ ᠪᠢ 3 ᠬ᠊ ᠤᠪᠢ ᠪᠦᠭᠡᠳ 4 ᠪᠠ 5 ᠬ᠊ ᠤᠪᠢ ᠣᠯ ᠤᠭᠰᠠᠨ ᠰᠤᠷᠤᠭ ᠴᠢ ᠶ᠊ ᠶᠢᠨ ᠲ᠊ ᠣᠭ ᠠ ᠨᠡᠢ ᠲᠡ 45 ᠬᠦᠮ ᠦᠨ᠂ ᠲᠡᠭ ᠰᠢᠳ ᠬᠡᠯ ᠬ᠊ ᠤᠪᠢ ᠨᠢ ᠡᠮᠦᠨ ᠡ ᠤ ᠲᠠᠭᠠᠨ ᠤ ᠬᠢᠨ ᠠᠴᠠ 0. 8 ᠬ᠊ ᠤᠪᠢ ᠲᠡᠭᠡᠭ ᠰᠢᠯᠡᠪᠡ᠃ ᠲ᠊ ᠡᠭᠡᠪᠡᠯ ᠬᠤ ᠶᠠᠳᠤ ᠭᠠᠷ ᠤᠳᠠ ᠭᠠᠨ ᠤ ᠪᠠ ᠢᠴᠠᠭᠠᠯ ᠲᠠ ᠲᠤ 4 ᠬ᠊ ᠤᠪᠢ ᠪᠠ 5 ᠬ᠊ ᠤᠪᠢ ᠤᠯ ᠤᠭᠰᠠᠨ ᠰᠤ ᠷᠤᠭᠴ ᠢ ᠲ᠊ ᠤᠰ ᠲ᠊ ᠤᠰ ᠬ᠊ ᠡᠳᠦᠢ ᠪᠠᠢ ᠬᠤ ᠤ ᠤᠢ︖