ᠠᠷᠪᠠᠳᠤᠭᠠᠷ ᠪᠥᠯᠥᠭ ᠲᠤᠭ᠎ᠠ ᠪᠠᠷᠢᠮᠲᠠ ᠶᠢ ᠴᠤᠭᠯᠠᠭᠤᠯᠬᠤ᠂ ᠡᠮᠬᠢᠯᠡᠬᠦ ᠪᠠ ᠳᠥᠷᠰᠤᠯᠡᠬᠦ （ᠨᠢᠭᠡᠴᠢ ᠶᠢᠨ ᠪᠠᠢᠴᠠᠭᠠᠯᠲᠠ 1） .pdf

ᠠᠷᠪ ᠠᠳ᠋ᠤᠭ ᠠᠷ ᠪᠥ ᠯᠥᠭ ᠦᠨ ᠪ ᠠᠢᠴ ᠠᠭᠠᠯᠲ ᠠ ᠠᠩᠭ ᠢ ᠪᠥ ᠯᠥᠭ᠄ ᠨᠡᠷ ᠡ ᠄ ( 9 0 ᠮ ᠢᠨᠦ᠋ᠲ ᠂ ᠨᠠ ᠢᠲᠡ 12 0 ᠬ ᠤᠪᠢ ) ᠨᠢᠭᠡ ᠂ ᠰ ᠤᠩᠭ ᠤᠬᠤ ᠰᠡᠲᠤ ᠪ᠃ ( ᠰᠡ ᠲᠤᠪ ᠪᠦᠷ ᠢ 3 ᠬᠤᠪ ᠢ᠂ ᠨᠠᠢ ᠲᠡ 30 ᠬᠤᠪ ᠢ) 1. ᠳᠤᠤ ᠷᠡᠭᠢ ᠡᠴᠡ ᠪᠦᠭ ᠦ ᠳᠠ ᠯ ᠠ ᠵ ᠢᠨ ᠪ ᠠᠶᠢᠴᠠ ᠭᠠᠯᠳ᠋ᠠ ᠬᠢᠵ ᠦ ᠪᠤᠯ ᠬᠤ ᠨ ᠢ ( ) A. ᠪᠦ ᠭᠦ ᠤ ᠯᠤᠰ ᠦᠨ ᠳᠤᠮᠳ᠋ᠠ ᠳ᠋ᠤ ᠰ ᠤᠷᠭᠠ ᠭᠤᠯᠢ ᠵᠢᠨ ᠰᠤ ᠷᠤᠭᠴ ᠢ ᠵᠢ ᠨ ᠰ ᠡᠳᠭᠢ ᠴᠡ ᠵᠢᠨ ᠡᠷᠡᠭ ᠦᠯ ᠮ ᠡᠨᠳ᠋ᠤ ᠵᠢᠨ ᠳᠤᠬ ᠠᠢ ᠪᠠ ᠶᠢᠴᠠᠭ ᠠᠯᠳ᠋ᠠ ᠬᠢᠭ ᠦ B. ᠪᠦᠭ ᠦ ᠬᠤ ᠳ᠋ᠠ ᠵᠢᠨ ᠢᠳ᠋ᠡ ᠭᠡᠨ ᠤ ᠬᠢ ᠷᠢ ᠳ ᠠᠩᠴ ᠡᠭᠦ ᠡ ᠰᠡᠭᠦ ᠵᠢᠨ ᠳᠤᠬ ᠠᠢ ᠪᠠ ᠶᠢᠴᠠᠭ ᠠᠯᠳ᠋ᠠ ᠬᠢᠭ ᠦ C. ᠦ ᠪᠤᠷ ᠮ ᠤᠩᠭ ᠤᠯ ᠦ ᠨ ᠲ ᠧᠯᠧᠢ ᠰ ᠬ ᠤᠷᠢᠶ ᠠᠨ ᠤ ᠲᠧᠯ ᠧᠢ ᠰ ᠦ ᠵᠡᠭᠦ ᠨᠤᠷᠮ ᠠ ᠵᠢ ᠪᠠᠶᠢ ᠴᠠᠭᠠ ᠯᠳ᠋ᠠ ᠬᠢᠭ ᠦ D. ᠴᠢᠨ ᠤ ᠠᠩ ᠭᠢ ᠵ ᠢᠨ ᠰ ᠤᠷᠤᠭ ᠴᠢ ᠵ ᠢᠨ ᠪ ᠠᠶ ᠠ ᠵᠢᠨ ᠦᠨ ᠳ᠋ᠤᠷ ᠦᠨ ᠪ ᠠᠶᠢᠳ᠋ᠠ ᠯ ᠳ᠋ᠤ ᠪᠠᠶᠢ ᠴᠠᠭᠠ ᠯᠳ᠋ᠠ ᠬᠢᠭ ᠦ 2. ᠨᠢᠭᠡ ᠨ ᠳ ᠤᠷ ᠠ ᠪᠠᠬ ᠠ ᠢᠢᠨ ᠳᠤ ᠭᠤᠶᠢ ᠯᠠᠩ ᠦᠪ ᠡᠷ ᠦ ᠨ ᠰ ᠠᠭᠤᠵ ᠤ ᠪᠠ ᠶᠢᠭ ᠠ ᠰᠠᠭ ᠤᠭᠠᠯ ᠢ ᠠᠷ ᠠᠳ ᠦᠨ ᠲᠤᠭ ᠤᠷᠢᠭ ᠦᠨ ᠬᠦᠮᠦ ᠰ ᠦᠨ ᠡᠷᠡ ᠬᠦᠯ ᠴᠢᠭᠡ ᠷᠠᠭ ᠦᠨ ᠪᠠᠶᠢᠳ᠋ᠠ ᠯ ᠢ ᠪᠠᠶᠢᠴ ᠠᠭᠠᠬ ᠤ ᠳ᠋ᠤ ᠠᠪᠤᠭ ᠰᠠᠨ 4 ᠵ ᠤᠶᠢᠯ ᠦᠨ ᠶᠠᠩ ᠵᠤ ᠰᠤᠭ ᠤᠯᠵᠤ ᠪᠠᠶᠢ ᠴᠠᠭᠠ ᠬᠤ ᠪ ᠠᠶᠢᠴᠠ ᠭᠠᠯᠲᠠ ᠡᠴ ᠨ ᠬ ᠠᠮᠤᠭ ᠦᠨ ᠲᠤᠬ ᠢᠷᠠᠮᠵ ᠢᠲᠠᠢ ᠨᠢ ( ) A. ᠴᠡᠴ ᠡᠷᠯᠢᠭ ᠲᠦ ᠪᠠᠶᠢ ᠭ ᠠ 1000 ᠬᠦᠮᠦ ᠨ ᠢ ᠪᠠᠶᠢᠴ ᠠᠭᠠᠬ ᠤ B. ᠡᠮᠴ ᠢ ᠢᠢᠨ ᠬᠤᠷ ᠢᠶᠠᠨ ᠡᠴᠨ 1000 ᠬᠦᠮᠦ ᠨ ᠪᠠ ᠶᠢᠴᠠᠭ ᠠᠬᠤ C. ᠦ ᠪᠡᠷ ᠦ ᠨ ᠵᠡ ᠷᠭᠡᠯᠳ᠋ᠡ ᠭᠡ ᠠᠶ ᠢᠯ ᠦ ᠨ 10 ᠬᠦᠮᠦ ᠨ ᠢ ᠪᠠᠶᠢᠴ ᠠᠭᠠᠬ ᠤ D. ᠰᠠ ᠭᠤᠭ ᠠᠯᠢ ᠠᠷᠠᠳ ᠦᠨ ᠲᠤ ᠭᠤᠷᠢ ᠭ ᠦ ᠨ ᠳ ᠠᠩᠰᠠ ᠡᠪ ᠭᠡᠮᠡᠯ ᠡᠴ ᠨ 10 % ᠢᠢᠨ ᠬᠦᠮᠦ ᠨ ᠢ ᠰᠤᠭ ᠤᠯᠤᠨ ᠪᠠᠶᠢ ᠴᠠᠭᠠ ᠬᠤ ᠃ 3. ᠨᠢᠭᠡ ᠪᠦᠯ ᠦᠭ ᠮ ᠠᠰᠢᠨ ᠤ ᠭ ᠡᠷᠡᠭᠯ ᠡᠬᠦ ᠴᠠ ᠭ ᠢ ᠤᠶ ᠢᠯᠠᠭ ᠠᠬᠤ ᠢᠢᠨ ᠲᠦ᠋ᠯ ᠦᠭᠡ ᠂ 1 00 ᠰᠠᠭ ᠤᠷᠢ ᠮᠠᠰᠢ ᠨ ᠢ ᠰᠤ ᠭᠤᠯᠤ ᠨ ᠠᠪ ᠴᠤ ᠪ ᠠᠶᠢᠴᠠ ᠭᠠᠪᠠ ᠃ ᠡᠬᠦᠨ ᠳ᠋ᠤ ᠶᠠᠩᠵ ᠤ ᠨᠢ ( ) A. ᠡᠨᠡ ᠪᠦᠯ ᠦᠭ ᠮ ᠠᠰᠢᠨ B. ᠡᠨᠡ ᠪᠦᠯ ᠦᠭ ᠮ ᠠᠰᠢᠨ ᠤ ᠬ ᠡᠷᠡᠭᠯ ᠡᠬᠦ ᠴᠠ ᠭ ᠬ ᠤᠭᠤᠴ ᠠᠭ ᠠ C. ᠰᠤᠭ ᠤᠯᠤᠨ ᠠᠪᠤᠭ ᠰᠠᠨ 100 ᠰᠠᠭ ᠤᠷᠢ ᠮᠠᠰᠢ ᠨ ᠤ ᠭᠡᠷᠡ ᠭᠯᠡᠬᠦ ᠴᠠᠭ ᠬᠤᠭ ᠤᠴᠠᠭ ᠠ D. 100 4. ᠤᠰᠤ ᠨ ᠳ᠋ᠤ ᠠᠭ ᠤᠯᠤᠭ ᠳ᠋ᠠᠬᠤ ᠰᠢ ᠮ ᠡ ᠳᠡᠭᠡ ᠯᠲᠤ ᠪᠤᠳ᠋ᠡ ᠰ ᠦᠨ ᠠᠭ ᠤᠯᠤᠭ ᠳ᠋ᠠᠴᠠ ᠢᠢᠨ ᠵᠠᠭ ᠤᠨ ᠤ ᠬ ᠤᠪᠢ ᠢᠢᠨ ᠬᠠᠷᠢ ᠴᠠᠯ ᠢ ᠢ ᠯᠡᠷᠭᠡ ᠶᠢᠯᠡᠬ ᠦ ᠭᠡᠪ ᠡᠯ ( ) ᠢᠢ ᠠᠰ ᠢᠭᠯᠠ ᠪᠠᠯ ᠵᠤᠬᠢ ᠨ ᠠ ᠃ A. ᠰᠠᠪ ᠠᠭᠠᠨ ᠪᠦᠷ ᠢᠳᠭᠡ ᠯ ᠦᠨ ᠵᠢᠷ ᠤᠭ B. ᠲᠤᠭ ᠤᠷᠢᠭ ᠪᠦᠷ ᠢᠳᠭᠡ ᠯ ᠦᠨ ᠵᠢᠷ ᠤᠭ C. ᠳᠠᠬ ᠢᠷ ᠱ ᠤᠭᠤᠮ ᠤᠨ ᠪ ᠦᠷᠢ ᠳᠭᠡᠯ ᠦᠨ ᠵᠢᠷᠤ ᠭ D. ᠳᠡᠭ ᠡᠷᠡᠬᠢ ᠪᠦᠷ ᠪᠤᠯᠤ ᠨ ᠠ ᠃ 5. ᠵᠢᠷᠤ ᠭ ᠳ ᠡᠬᠢ ᠬᠠᠩ ᠭᠠᠭᠰ ᠠᠨ ᠮᠡᠳ᠋ᠡᠭ ᠡ ᠵ ᠠᠩᠬᠢ ᠡᠴᠨ ᠮᠡᠳ᠋ᠡ ᠬᠦ ᠨ ᠢ ᠳᠤᠤ ᠷᠠᠬᠢ ᠬᠡᠯᠡᠯ ᠭᠡ ᠢ ᠢᠨ ᠵ ᠦ᠋ᠪ ᠨᠢ ( ) A. ᠶᠢᠰ ᠤᠳ᠋ᠦᠭ ᠡᠷ ᠤ ᠨ ᠤ ᠰᠤᠷ ᠤᠭᠴ ᠢ ᠬᠠ ᠮᠤᠭ ᠤᠯᠠ ᠨ B. ᠶᠢᠰᠤ ᠳ᠋ᠦᠭᠡ ᠷ ᠤ ᠨ ᠤ ᠡᠷ ᠡᠭᠲᠡᠢ ᠨᠢ ᠡᠮᠡᠭᠲᠡ ᠢ ᠦᠨ ᠬᠤ ᠶᠠᠷ ᠳᠠᠬᠢ ᠨ ᠪᠤᠯᠤ ᠨ ᠠ ᠃ C. ᠶᠢᠰ ᠤᠳ᠋ᠦᠭ ᠡᠷ ᠤ ᠨ ᠤ ᠡᠮᠡ ᠭᠲᠡᠢ ᠨᠢ ᠡᠷᠡᠭ ᠲᠡᠢ ᠡ ᠴᠨ ᠤᠯᠠ ᠨ D. ᠨᠠᠢ ᠮᠠᠳ᠋ᠤ ᠭᠠᠷ ᠤᠨ ᠤ ᠰᠤᠷᠤ ᠭᠴᠢ ᠢᠢᠨ ᠲᠤᠭ ᠠ ᠨ ᠢ ᠶᠢᠰᠤ ᠳ᠋ᠦᠭᠡ ᠷ ᠤ ᠨ ᠤ ᠰᠤ ᠷᠤᠭᠴ ᠢ ᠡ ᠴᠨ ᠤᠯᠠ ᠨ ᠃ 6. ᠨ ᠢᠭᠡ ᠪᠦᠯᠦ ᠭ ᠲ ᠧᠯᠧᠢ ᠰ ᠦᠨ ᠬᠡᠷ ᠡᠭᠯᠡᠭ ᠳ᠋ᠡᠭᠦ ᠬᠤᠭ ᠤᠴᠠᠭ ᠠ ᠵ ᠢ ᠤ ᠶᠢᠯᠠᠭ ᠠᠬᠤ ᠵᠢᠨ ᠳᠤᠰ ᠠᠳ᠋ᠠ ᠳᠡᠭᠦ ᠨ ᠤ ᠳᠤᠳ᠋ᠤ ᠷ ᠠ ᠡ ᠴᠡ ᠳᠤᠷ ᠠ ᠪᠠᠷ 40 ᠲᠧ ᠯᠧᠢ ᠰ ᠢ ᠰ ᠤᠩᠭ ᠤᠵᠦ ᠳᠤᠷ ᠰᠢᠯᠳ᠋ᠠ ᠬᠢᠨ ᠠ ᠂ ᠡᠨᠠ ᠭᠦ ᠠᠰ ᠠᠭᠤᠳ᠋ᠠ ᠯ ᠳ᠋ᠡ ᠭᠢ 40 ᠨᠢ ( ) ᠪᠤᠯ ᠤᠨ ᠠ ᠃ A. ᠪᠤᠳ᠋ ᠠᠭᠠᠯᠢ B. ᠪᠦᠭ ᠦᠳ᠋ᠡ C. ᠶᠠᠩ ᠵᠦ ᠵ ᠢᠨ ᠪ ᠠᠭᠳ᠋ᠠ ᠭᠠᠮᠵ ᠢ D. ᠪᠦᠭ ᠦᠳ᠋ᠡ ᠳ᠋ᠡᠭᠢ ᠨᠢᠭᠡ ᠶᠠᠩ ᠵᠦ 7. ᠲᠤᠭ ᠠ 1 20 01 1 2 20 01 0 2 10 21 0 2 10 21 0 2 10 20 0 ᠳ᠋ᠤ ᠂ 0 ᠢ ᠯᠡᠷᠡᠬ ᠦ ᠲᠠ ᠪᠲᠠᠭ ᠳ᠋ᠠᠭᠰ ᠠᠨ ᠲ ᠤᠭ ᠠ ᠪᠠ ᠲᠠᠪᠲᠠ ᠮᠵᠢ ᠨᠢ ᠲ ᠤᠰ ᠲᠤᠰ ( ) A. 6 ᠪᠠ 25% B. 8 ᠪ ᠠ 20% C. 11 ᠪᠠ 35% D. 12 ᠪᠠ 40% 8. ᠠ ᠰᠤᠷᠭ ᠠᠭᠤᠯ ᠢ ᠢᠢ ᠨ ᠡ ᠮᠡᠭᠲᠡ ᠢ ᠰ ᠤᠷᠤᠭ ᠴᠢ ᠨ ᠢ ᠪᠦ ᠬᠦ ᠰ ᠤᠷᠭᠠ ᠭᠤᠯᠢ ᠢᠢᠨ ᠬᠦ ᠮᠦᠨ ᠤ 40 % ᠢᠢ ᠡᠵᠡᠯ ᠡᠨ ᠡ ᠃ ᠡ ᠰᠤ ᠷᠭᠠᠭ ᠤᠯᠢ ᠢᠢᠨ ᠡᠮᠡᠭ ᠲᠡᠢ ᠰᠤᠷᠤ ᠭᠴᠢ ᠨᠢ ᠪ ᠦᠬᠦ ᠰᠤᠷ ᠭᠠᠭᠤ ᠯᠢ ᠢ ᠢᠨ ᠬᠦᠮᠦ ᠨ ᠤ 55 % ᠢᠢ ᠡᠵᠡᠯ ᠡᠪᠡᠯ ᠡᠮᠡᠭ ᠲᠡᠢ ᠰ ᠤᠷᠤᠭ ᠴᠢ ᠢ ᠢᠨ ᠲ ᠤᠭ ᠠ ( ) A. ᠠ ᠰᠤᠷ ᠭᠠᠭᠤ ᠯᠢ ᠢᠢ ᠨ ᠰ ᠤᠷᠤᠭ ᠴᠢ ᠨ ᠢ ᠡ ᠰᠤᠷ ᠭᠠᠭᠤ ᠯᠢ ᠡ ᠴᠨ ᠤ ᠯᠠᠨ B. ᠠ ᠰᠤᠷ ᠭᠠᠭᠤ ᠯᠢ ᠪᠠ ᠡ ᠰᠤᠷ ᠭᠠᠭᠤ ᠯᠢ ᠠᠳ᠋ ᠠᠯᠢ ᠤ ᠯᠠᠨ C. ᠡ ᠰᠤᠷ ᠭᠠᠭᠤ ᠯᠢ ᠢᠢ ᠨ ᠰ ᠤᠷᠤᠭ ᠴᠢ ᠨ ᠢ ᠠ ᠰᠤᠷ ᠭᠠᠭᠤ ᠯᠢ ᠡ ᠴᠨ ᠤ ᠯᠠᠨ D. ᠲᠤᠭ ᠲᠠᠭᠠ ᠬᠤ ᠢ ᠢᠨ ᠠᠷ ᠭ ᠠ ᠦᠭ ᠡᠢ 9. ᠨᠢᠭᠡ ᠠᠨ ᠭᠬᠢ ᠶᠢᠨ 60 ᠨᠡᠷ ᠡ ᠰ ᠤᠷᠤᠭ ᠴᠢ ᠶ ᠢᠨ ᠨᠢᠭᠡ ᠤᠳ᠋ᠠ ᠭᠠᠨ ᠤ ᠲ ᠤᠭᠠᠨ ᠤ ᠤ ᠬᠠᠭᠠ ᠨ ᠤ ᠬᠢᠷᠢ ᠪᠦᠳ᠋ᠦ ᠮᠵᠢ ᠳ᠋ᠦ ᠪᠦ ᠷᠢᠳᠭ ᠡᠯ ᠬ ᠢᠵᠤ ᠪᠠᠰᠠ ᠳᠠ ᠪᠳ᠋ᠠᠮ ᠵᠢ ᠶ ᠢᠨ ᠲᠠᠷᠬ ᠠᠯᠲᠠ ᠶᠢᠨ ᠰᠢ ᠯᠤᠭᠤ ᠨ ᠳ ᠦ᠋ᠷᠪ ᠡᠯᠵᠢᠨ ᠵᠢᠷ ᠤᠭ ᠢ ᠨᠢ ᠪᠠᠢᠭ ᠤᠯᠪᠠ ᠃ ᠬᠡᠷᠪ ᠡ ᠳ ᠠᠪᠳ᠋ᠠᠮ ᠵᠢ ᠶ ᠢᠨ ᠳᠠᠷᠬ ᠠᠯᠳ᠋ᠠ ᠶᠢᠨ ᠰᠢ ᠯᠤᠭᠤ ᠨ ᠳ ᠦ᠋ᠷᠪ ᠡᠯᠵᠢᠨ ᠵᠢ ᠷᠤᠭ ᠲᠠᠬᠢ 8 0.5 ~ 90 .5 ᠶᠢᠨ ᠬᠡᠰ ᠡᠭ ᠲ ᠡᠬᠢ ᠳᠠᠪᠳ᠋ᠠ ᠮᠵᠢ ᠨᠢ 18 ᠪᠤᠯ ᠲᠤ ᠰ ᠬ ᠡᠰᠡᠭ ᠲᠡᠬ ᠢ ᠬᠦ ᠮᠦᠨ ᠦ ᠲ ᠣᠭ ᠠ ᠨᠢ ᠪᠦᠬᠦ ᠬᠦᠮ ᠦᠨ ᠦ ᠲᠤᠭ ᠠᠨ ᠤ ( )% ᠡᠵᠡ ᠯᠡᠨ ᠡ ᠃ A. 30 B. 35 C. 36 D. 37 10 .ᠨᠢᠭ ᠡᠨ ᠬᠣᠲᠠ ᠶᠢᠨ ᠠᠩ ᠬ ᠠ ᠲᠤᠮᠳ᠋ᠠ ᠳ᠋ᠤ ᠲᠡᠭᠦ ᠰᠬᠦ ᠰᠤᠷ ᠤᠭᠴᠢ ᠳ ᠤ ᠨ ᠲ ᠣᠭ ᠠ ᠨᠢ 3 ᠲᠥᠮ ᠡᠨ ᠨᠡᠷᠡᠰ ᠪᠠᠢ ᠨ ᠠ᠂ ᠡᠭ ᠦᠨ ᠡ ᠴᠡ 40 0 ᠰᠤᠷ ᠤᠭᠴᠢ ᠶᠢᠨ ᠲᠣ ᠭᠠᠨ ᠤ ᠰᠢᠯᠭ ᠠᠯᠲᠠ ᠶᠢ ᠰᠤᠭ ᠤᠯᠤᠨ ᠵᠠᠳ᠋ᠠ ᠯᠤᠯᠲᠠ ᠬᠢᠵᠠ ᠢ᠃ ᠡᠨᠡ ᠤᠳ᠋ᠠ ᠭᠠᠨ ᠤ ᠪ ᠠᠢᠴ ᠠᠭᠠᠯᠲᠠ ᠳ᠋ᠤ ᠶᠠᠩᠵ ᠤ ᠨᠢ ( ) A. 40 0 ᠨ ᠡᠷᠡᠰ ᠰᠤᠷ ᠤᠭᠴ ᠢ ᠶᠢᠨ ᠲᠣᠭ ᠠᠨ ᠤ ᠤᠬ ᠠᠭᠠᠨ ᠤ ᠬ ᠢᠷᠢ ᠬᠡᠮᠵ ᠢᠶ ᠡ B. 400 C. 3 ᠲᠥᠮ ᠡᠨ ᠰ ᠤᠷᠤᠭ ᠴᠢ ᠶ ᠢᠨ ᠲ ᠣᠭᠠᠨ ᠤ ᠤ ᠬᠠᠭᠠ ᠨ ᠤ ᠬᠢᠷ ᠢ ᠬᠡᠮ ᠵᠢᠶ ᠡ D. 40 0 ᠨ ᠡᠷᠡᠰ ᠰᠤᠷ ᠤᠭᠴ ᠢ ᠬᠤᠶ ᠠᠷ ᠄ ᠬᠠᠭ ᠠᠯᠳ᠋ᠠ ᠲᠠᠭ ᠯᠠᠬᠤ ᠰᠡᠳ᠋ᠤ ᠪ ᠃ ( ᠰᠡ ᠲᠤᠪ ᠪᠦᠷ ᠢ 3 ᠬᠤᠪ ᠢ ᠂ ᠨᠡᠶᠢᠲᠡ 18 ᠬᠤᠪ ᠢ ) 11 . ᠨᠢᠯᠬ ᠠ ᠬᠡᠤᠭ ᠡᠳ ᠤᠨ ᠢᠳ᠋ᠡ ᠭᠡᠨ ᠦ ᠠ ᠶᠤᠯᠬᠦ ᠢ ᠶᠢ ᠪᠠᠯᠳ᠋ᠠ ᠨᠤ᠋ᠯᠠ ᠭᠠᠨ ᠲ ᠠᠢ ᠪᠠᠢᠯ ᠭᠠᠬᠤ ᠶᠢᠨ ᠲᠥᠯ ᠥᠭᠡ᠂ ᠴᠢ ᠨᠠᠷ ᠪ ᠠᠢᠴ ᠠᠭᠠᠬ ᠤ ᠰ ᠠᠯᠠᠭ ᠠ ᠮ ᠥᠴᠢ ᠷ ᠡᠴᠡ ᠶᠠᠮᠠ ᠷ ᠨᠢ ᠭᠡᠨ ᠨᠡᠷᠡᠳ᠋ ᠤ ᠰ ᠦ᠋ᠨ ᠲᠠᠯᠬ ᠠ ᠳ᠋ᠤ ᠪᠠᠢ ᠴᠠᠭᠠ ᠯᠲᠠ ᠬᠢᠪᠡ ᠂ ᠡ ᠨᠡ ᠲ ᠥᠷᠥ ᠯ ᠦᠨ ᠪᠠᠢ ᠴᠠᠭᠠ ᠯᠲᠠ ᠳ᠋ᠤ ᠲᠣᠬᠢ ᠷᠠᠮᠵᠢ ᠲᠠᠢ ᠨᠢ ( ) ( ︽ ᠶᠠᠩ ᠵᠤ ᠰᠤᠭ ᠤᠯᠬᠤ ᠪᠠᠢ ᠴᠠᠭᠠ ᠯᠲᠠ ︾ ᠪᠤᠶ ᠤ ︽ ᠪᠥ ᠬᠥ ᠲᠠ ᠯ ᠠ ᠶ ᠢᠨ ᠪ ᠠᠢᠴ ᠠᠭᠠᠯᠲᠠ ︾ ᠶᠢ ᠲᠠᠭ ᠯᠠ ) 12 . ᠨ ᠢᠭᠡ ᠪᠦᠯᠦ ᠭ ᠲ ᠤᠭ ᠠ ᠪᠠᠷ ᠢᠮᠲᠠ ᠢᠢ ᠡᠮᠬᠢ ᠯᠡᠭᠡᠳ ᠤ ᠯᠤᠭᠰ ᠠᠨ ᠲᠠᠪᠲᠠ ᠭᠳ᠋ᠠᠭ ᠰᠠᠨ ᠲᠤᠭ ᠠᠨ ᠤ ᠲᠠᠷᠬ ᠠᠯᠲᠠ ᠢᠢᠨ ᠰᠢ ᠯᠤᠭᠤ ᠨ ᠲ ᠦ᠋ᠷᠪ ᠡᠯᠵᠢᠨ ᠵᠢᠷ ᠤᠭ ᠲᠦ ᠂ ᠮ ᠡᠳ᠋ᠡᠬᠦ ᠨᠢ ᠨᠢᠭ ᠡ ᠵ ᠢᠵᠢᠭ ᠤᠷ ᠲᠤ ᠳᠦ᠋ᠷ ᠪᠡᠯᠵ ᠢᠨ ᠤ ᠲᠠᠯᠠ ᠪᠠᠢ ᠨᠢ ᠶ ᠠᠭ ᠰ ᠠᠶᠢᠬ ᠠᠨ ᠪ ᠤᠰᠤᠳ ᠵᠢᠵ ᠢᠭ ᠳ ᠦ᠋ᠷᠪ ᠡᠯᠵᠢᠨ ᠤ ᠲᠠᠯᠠ ᠪᠠᠢ ᠢᠢᠨ ᠨᠡᠶᠢᠯ ᠡᠪᠦᠷᠢ ᠲᠠᠢ ᠲᠡᠩ ᠴᠡᠬᠦᠤ ᠪᠤᠯ ᠲᠤᠰ ᠶᠠᠩ ᠵᠤ ᠢ ᠢᠨ ᠪᠠᠭᠲᠠ ᠭᠠᠮᠵ ᠢ ᠨᠢ 80 ᠪᠠᠶ ᠢᠭᠰᠠ ᠨ ᠪ ᠤᠯ ᠲ ᠤᠰ ᠵᠢᠵᠢ ᠭ ᠳ ᠦ᠋ᠷᠪ ᠡᠯᠵᠢᠨ ᠤ ᠲᠠᠪᠲᠠ ᠭᠳ᠋ᠠᠭ ᠰᠠᠨ ᠲᠤᠭ ᠠ ᠨ ᠢ ( ) 13 . ᠪᠦ ᠬᠦ ᠰ ᠤᠷᠭᠠ ᠭᠤᠯᠢ ᠶᠢᠨ ᠰᠤ ᠷᠤᠭᠴ ᠢ ᠶᠢ ᠨ ᠲ ᠡᠭᠰᠢᠳ ᠭᠡᠭᠰ ᠡᠨ ᠪᠡᠶ ᠡ ᠶᠢᠨ ᠥ ᠨᠳ᠋ᠦᠷ ᠢ ᠣ ᠢᠯᠠᠭ ᠠᠬᠤ ᠶᠢᠨ ᠲ ᠥᠯᠦ ᠭᠡ ᠪᠠᠳ᠋ᠤ ᠦ ᠪᠡᠷ ᠦ ᠨ ᠠᠨᠭᠬ ᠢ ᠶᠢ ᠨ ᠲᠡᠬᠦ ᠨ ᠦ ᠬᠠᠵᠠ ᠭᠤ ᠳ᠋ ᠤ ᠰ ᠠᠭᠤᠵ ᠤ ᠪ ᠠᠢᠭ ᠠ ᠭᠤᠷ ᠪᠠᠨ ᠰᠤᠷ ᠤᠭᠴᠢ ᠶᠢᠨ ᠪᠡ ᠶ ᠡ ᠶ ᠢᠨ ᠥᠨ ᠳ᠋ᠦᠷ ᠲᠤ ᠪᠠᠢᠴ ᠠᠭᠠᠯᠲᠠ ᠬᠢ ᠵᠦ ᠲᠡᠳ᠋ᠡ ᠨ ᠦ ᠳ ᠡᠭᠰᠢ ᠳᠭᠡᠭ ᠰᠡᠨ ᠪᠡᠶ ᠡ ᠶᠢᠨ ᠥᠨ ᠳ᠋ᠦᠷ ᠢᠶᠡᠷ ᠪᠦᠬᠦ ᠰ ᠤᠷᠭᠠ ᠭᠤᠯᠢ ᠶᠢᠨ ᠰ ᠣᠷᠤᠭ ᠴᠢ ᠶ ᠢᠨ ᠲᠡᠭᠰ ᠢᠳᠭᠡ ᠭᠰᠡᠨ ᠪ ᠡᠶ ᠡ ᠶᠢᠨ ᠥᠨ ᠳ᠋ᠦᠷ ᠲᠤ ᠪᠠᠷᠤ ᠭᠴᠠᠭ ᠠᠯᠳ᠋ᠠ ᠬᠢ ᠪᠡ᠃ ᠲᠡᠭᠡ ᠪᠡᠯ ᠲᠤᠰ ᠶᠠ ᠨᠭᠵᠤ ᠰ ᠤᠭᠤᠯ ᠬᠤ ᠪᠠᠢᠴ ᠠᠭᠠᠯᠳ᠋ᠠ ᠳ᠋ᠤ ᠪᠦᠭᠦ ᠳ᠋ᠡ ᠨ ᠢ ( ) ᠪᠤᠳ᠋ᠠ ᠭᠠᠯᠢ ᠨᠢ ( ) ᠶᠠ ᠨᠭᠵᠤ ᠨᠢ ( ) ᠶᠠᠨᠭᠵ ᠤ ᠶᠢ ᠨ ᠪᠠ ᠭᠳ᠋ᠠᠭ ᠠᠮᠵᠢ ᠨᠢ ( ) ᠃ 14 . ᠪᠦ ᠬᠦ ᠰ ᠤᠷᠭᠠ ᠭᠤᠯᠢ ᠰᠤᠷ ᠤᠭᠴᠢ ᠶᠢᠨ ᠨᠢᠳ᠋ᠦ ᠨ ᠬ ᠠᠷᠠᠭᠠ ᠨ ᠤ ᠪᠠᠢᠳ᠋ᠠ ᠯ ᠢ ᠤᠢ ᠯᠠᠭᠠᠬ ᠤ ᠶ ᠢᠨ ᠲ ᠥᠯᠦ ᠭᠡ ᠨᠠᠪᠴ ᠢ ᠵᠤ ᠯᠠ ᠰ ᠠᠷᠠᠭ ᠤᠯ ᠭ ᠤᠷᠪᠠ ᠲᠤ ᠰᠪᠤᠷ ᠢ ᠳᠣ ᠣᠷᠠᠬᠢ ᠮᠡᠳ᠋ᠤ ᠲᠦ᠋ᠰ ᠦᠪ ᠲ ᠤᠭᠳ᠋ᠠ ᠭᠠᠪᠠ ᠄ (1) ᠨᠠᠪᠴ ᠢ᠄ ᠦᠪ ᠡᠷ ᠦᠨ ᠪᠠᠢ ᠭ ᠠ ᠠᠨᠭᠬ ᠢ ᠶᠢ ᠨ ᠢᠶᠡᠨ ᠪᠦ ᠬᠦ ᠨ ᠥᠬᠦᠳ ᠦᠨ ᠨᠢᠳ᠋ᠤ ᠨ ᠬ ᠠᠷᠠᠭ ᠠᠨ ᠳ᠋ᠤ ᠪᠠᠢᠴ ᠠᠭᠠᠯᠳ᠋ᠠ ᠬᠢᠵ ᠦ᠂ᠡ ᠭᠦᠨ ᠢᠶᠡᠷ ᠢᠶᠡᠨ ᠪᠦ ᠬᠦ ᠰ ᠤᠷᠭᠠ ᠭᠤᠯᠢ ᠶᠢᠨ ᠰᠤ ᠷᠤᠭᠴ ᠢ ᠶᠢ ᠨ ᠨ ᠢᠳ᠋ᠦᠨ ᠬᠠ ᠷᠠᠭᠠᠨ ᠤ ᠪ ᠠᠢᠳ᠋ᠠ ᠯ ᠢ ᠪᠠᠷᠤ ᠭᠴᠠᠭ ᠠᠯᠬᠤ ᠃ (2) ᠵᠤᠯ ᠠ᠄ ᠰᠤᠷᠭ ᠠᠭᠤᠯ ᠢ ᠶᠢᠨ ᠡᠮᠴ ᠢ ᠡ ᠴᠡ 2 00 5ᠤ ᠨ ᠤ ᠪᠦᠬᠦ ᠰᠤ ᠷᠭᠠᠭ ᠤᠯᠢ ᠶ ᠢᠨ ᠰᠤᠷ ᠤᠭᠴᠢ ᠳ ᠤᠨ ᠪᠡᠶ ᠡ ᠶᠢᠨ ᠪᠠᠢ ᠴᠠᠭᠠ ᠯᠲᠠ ᠶᠢᠨ ᠬᠦ ᠰᠦᠨᠦ ᠭᠳ᠋ᠤ ᠶᠢ ᠤ ᠯᠵᠤ᠂ ᠡᠭᠦ ᠨ ᠡ ᠴᠡ ᠪᠦᠬᠦ ᠰᠤ ᠷᠭᠠᠭ ᠤᠯᠢ ᠶ ᠢᠨ ᠰ ᠤᠷᠤᠭ ᠴᠢᠳ ᠤᠨ ᠨᠢᠳ᠋ᠤ ᠨ ᠬ ᠠᠷᠠᠭ ᠠᠨ ᠤ ᠪᠠᠢ ᠳ᠋ᠠᠯ ᠢ ᠪᠠᠷ ᠤᠭᠴ ᠠᠭᠠᠯᠠ ᠬᠤ ᠃ (3) ᠰᠠᠷ ᠠᠭᠤᠯ ᠄ ᠰ ᠤᠷᠤᠯ ᠭ ᠠ ᠶᠢᠨ ᠨᠣᠮᠧ ᠷ ᠨᠢ 5 ᠶ ᠢᠨ ᠲᠠᠬᠢ ᠨ ᠲ ᠣᠭ ᠠ ᠪᠤᠯ ᠬᠤ ᠰ ᠤᠷᠤᠭ ᠴᠢ ᠶ ᠢ ᠰ ᠤᠨᠭᠭ ᠤᠨ ᠨᠢᠳ᠋ᠦ ᠨ ᠬ ᠠᠷᠠᠭ ᠠᠨ ᠳ᠋ᠤ ᠨᠢ ᠪᠠᠢᠴ ᠠᠭᠠᠯᠳ᠋ᠠ ᠬᠢᠵ ᠤ ᠡ ᠭᠦᠨ ᠢᠶᠡᠷ ᠪᠦᠬᠦ ᠰᠤ ᠷᠭᠠᠭ ᠤᠯᠢ ᠶ ᠢᠨ ᠰᠤᠷ ᠤᠭᠴ ᠢᠳ ᠤᠨ ᠨᠢᠳ᠋ᠤ ᠨ ᠬᠠᠷᠠ ᠭᠠᠨ ᠤ ᠪᠠᠢᠳ᠋ᠠ ᠯ ᠢ ᠪᠠᠷᠤᠭ ᠴᠠᠭᠠ ᠯᠠᠬᠤ ᠃ ᠳᠡᠭᠡ ᠷᠡᠬᠢ ᠲᠦ᠋ᠰ ᠦᠪ ᠡ ᠴᠡ ᠬᠠᠮᠤ ᠭ ᠲᠤᠬᠢ ᠷᠠᠮᠵᠢ ᠳ᠋ᠠᠢ ᠨ ᠢ ( ) ᠃ (ᠨᠣ ᠮᠧᠷ ᠢ ᠨᠢ ᠲᠠᠭ ᠯᠠ ) 15 . ᠰ ᠤᠷᠭᠠ ᠭᠤᠯᠢ ᠶᠢᠨ ᠨᠤᠮ ᠤ ᠰ ᠤᠮᠤ ᠬᠠᠷᠪ ᠤᠬᠤ ᠤᠷᠤ ᠯᠳ᠋ᠤᠭ ᠠᠨ ᠳ᠋ ᠤ ᠪ ᠠᠳ᠋ᠤ ᠳᠦ᠋ᠷ ᠪᠡᠨ ᠰᠤᠮᠤ ᠬᠠ ᠷᠪᠤᠵ ᠤ ᠭᠤᠷ ᠪᠠ ᠤᠳ᠋ᠠ ᠭ ᠠ ᠨᠢ ᠴ ᠦ᠋ᠮ ᠫᠠᠢ ᠶᠢ ᠣ ᠨᠤᠭᠠᠵ ᠤ ᠲ ᠠᠢᠯᠪ ᠡ᠂ ᠳᠡᠭᠡ ᠪᠡᠯ ᠪᠠᠳ᠋ᠤ ᠶᠢᠨ ᠡᠨᠡ ᠤᠳ᠋ᠠ ᠭᠠᠨ ᠤ ᠤ ᠷᠤᠯᠳ᠋ᠤ ᠭᠠ ᠦ ᠬ ᠢᠷᠢ ᠪᠦᠳ᠋ᠦ ᠮᠵᠢ ᠶᠢ ᠳ ᠡᠪᠢᠭᠦ ᠷ ᠬᠡ ᠯᠪᠡᠷᠢ ᠳ᠋ᠤ ᠪᠦᠷᠢ ᠳᠭᠡᠯ ᠦᠨ ᠵᠢᠷᠤ ᠭ ᠢᠶ ᠠᠷ ᠢ ᠯᠡᠷᠬᠡ ᠢᠯᠡᠬ ᠦ ᠳ᠋ᠤ ᠫᠠᠢ ᠶᠢ ᠤᠨᠤ ᠭᠠᠵᠤ ᠳᠡᠢ ᠯᠦᠭᠰ ᠡᠨ ᠦ ᠭᠡᠢ ᠲ ᠠᠢ ᠬ ᠠᠷᠠᠭᠠ ᠯᠵᠠᠭ ᠰᠠᠨ ᠳᠡᠪᠢ ᠭᠦᠷ ᠬᠡᠯᠪᠡ ᠷᠢᠳ᠋ᠤ ᠶᠢᠨ ᠲᠦ᠋ᠪ ᠥᠨ ᠴᠦᠭ ᠤᠨ ᠭᠷᠠᠳ᠋ᠦ᠋ ᠰ ᠤᠨ ᠲᠣᠭ ᠠ ᠨᠢ ( )᠃ 16 ᠨᠢᠭ ᠡᠨ ᠰᠤᠷᠭ ᠠᠭᠤᠯ ᠢ ᠶᠢ ᠨ ᠶ ᠢᠰᠦᠳ᠋ᠦ ᠭᠡᠷ ᠡᠤᠨ ᠤ ᠨ ᠢᠭᠡᠳ᠋ᠦ ᠭᠡᠷ ᠠᠨᠭᠬ ᠢ ᠨ ᠢ 54 ᠰᠤ ᠷᠤᠭᠴ ᠢ ᠲ ᠠᠢ᠂ ᠪᠦᠷ ᠢᠳᠭᠡ ᠯ ᠢ ᠦᠨ ᠳ᠋ᠤᠰᠤ ᠯᠡᠪᠡᠯ ᠨᠤ ᠮ ᠤ ᠨᠭᠰᠢᠬ ᠤ ᠬᠦ ᠳ᠋ᠡᠯᠭ ᠡᠭᠡᠨ ᠳ᠋ᠦ ᠤᠷᠤ ᠯᠴᠠᠵ ᠤ ᠪ ᠠᠢᠬᠤ ᠬᠦ ᠮᠦᠨ 18 ᠪᠠᠢ ᠵᠤ᠂ ᠰᠢᠨᠵ ᠢᠯᠡᠬᠦ ᠤᠬ ᠠᠭᠠᠨ ᠤ ᠬᠠᠮᠢ ᠶᠠᠲᠠᠢ ᠬᠦ ᠳ᠋ᠡᠯᠭᠡ ᠭᠡᠨ ᠳ᠋ᠦ ᠤᠷᠤ ᠯᠴᠠᠵ ᠤ ᠪ ᠠᠢᠬ ᠤ ᠬ ᠦᠮᠦ ᠨ ᠨᠢ ᠪᠦ ᠬᠦ ᠠᠨ ᠭᠬᠢ ᠶᠢᠨ ᠬᠦᠮᠦ ᠨ ᠦ ᠲᠣᠭ ᠠ ᠶᠢ ᠨ 1 /6 ᠶᠢ ᠡᠵᠡᠯ ᠡᠨ ᠡ ᠃ ᠤ ᠷᠠᠨ ᠰᠠᠢ ᠬᠠᠨ ᠤ ᠬ ᠥᠳ᠋ᠡ ᠯᠭᠡᠭᠡ ᠨ ᠳ᠋ᠦ ᠤ ᠷᠤᠯᠴ ᠠᠵᠤ ᠪᠠᠢᠬ ᠤ ᠬᠦᠮᠦ ᠨ ᠦ ᠲᠣᠭ ᠠ ᠨᠢ ᠰᠢ ᠨᠵᠢᠯᠡ ᠬᠦ ᠤ ᠬᠠᠭᠠ ᠨ ᠤ ᠬᠦᠳ᠋ᠡ ᠯᠭᠡᠭᠡ ᠨ ᠳ᠋ᠦ ᠤᠷ ᠤᠯᠴᠠ ᠵᠤ ᠪ ᠠᠢᠬ ᠤ ᠬᠦ ᠮᠦᠨ ᠡᠴᠡ 3 ᠢᠯᠡᠬ ᠦᠤ᠂ ᠪᠤᠰᠤ ᠳ ᠰᠤᠷ ᠤᠭᠴᠢ ᠳ ᠨ ᠢ ᠲ ᠠᠮᠢᠷ ᠤᠨ ᠬᠦᠳ᠋ᠡ ᠯᠭᠡᠭᠡ ᠨ ᠳ᠋ᠦ ᠣᠷ ᠤᠯᠴᠠ ᠵᠤ ᠪᠤᠢ᠂ ᠳᠡ ᠪᠢᠭᠦ ᠷ ᠬᠡ ᠯᠪᠡᠷᠢ ᠳ᠋ᠤ ᠪᠦᠷᠢ ᠳᠭᠡᠯ ᠦᠨ ᠵᠢᠷᠤ ᠭ ᠢᠶ ᠠᠷ ᠲᠠᠮᠢ ᠷ ᠤᠨ ᠬ ᠦᠳ᠋ᠡ ᠯᠭᠡᠭᠡ ᠨ ᠳ᠋ᠦ ᠤ ᠷᠤᠯᠴ ᠠᠭᠰᠠ ᠨ ᠬᠦᠮᠦ ᠨ ᠦ ᠲ ᠣᠭ ᠠ ᠶᠢ ᠢᠯᠡᠷ ᠬᠡᠢᠯ ᠡᠬᠦ ᠳ᠋ᠦ ᠬᠠᠷᠠ ᠭᠠᠯᠵ ᠠᠭᠰᠠ ᠨ ᠲ ᠦ᠋ᠪ ᠥᠨ ᠴᠦᠭ ᠦᠨ ᠭᠷᠠᠳ᠋ᠦ᠋ ᠰ ᠦᠨ ᠲᠣᠭ ᠠ ᠨᠢ ( )᠃ ᠭᠤ ᠷᠪᠠ ᠄ ᠪᠤᠳ᠋ ᠤᠵᠤ ᠬᠠᠷᠢ ᠭᠤᠯᠬ ᠤ ᠰ ᠡᠳ᠋ᠤᠪ ᠃ ( ᠨᠡᠶᠢ ᠲᠡ 72 ᠬᠤᠪ ᠢ ) 17 . ( 12 ᠬ ᠤᠪᠢ) ᠨᠢᠭᠡ ᠨ ᠰᠤᠷᠭ ᠠᠭᠤᠯ ᠢ ᠨᠢ ᠳ ᠤᠯᠤᠳ᠋ᠤ ᠭᠠᠷ ᠡᠤᠨ ᠦ ᠰᠤᠷ ᠤᠭᠴ ᠢᠳ ᠤᠨ ᠢ ᠶᠠᠨ ᠬᠢᠴᠢ ᠶᠡᠯ ᠦ ᠨ ᠭ ᠠᠳ᠋ᠠᠭ ᠤᠷ ᠰᠤᠷᠤ ᠯᠴᠠᠵ ᠤ ᠪ ᠠᠢᠬ ᠤ ᠪ ᠠᠢᠳ᠋ᠠ ᠯ ᠢ ᠤᠢ ᠯᠠᠭᠠᠬ ᠤ ᠶᠢ ᠨ ᠲ ᠦ᠋ᠯᠦ ᠭᠡ ᠲᠠᠰᠢ ᠷᠠᠮ ᠢᠶᠠᠷ ᠨᠢᠭᠡ ᠪᠦᠯᠦ ᠭ ᠰ ᠤᠷᠤᠭ ᠴᠢᠳ ᠲᠤ ᠪᠠᠢ ᠴᠠᠭᠠ ᠯᠲᠠ ᠬᠢᠪ ᠡ᠂ ᠪᠠᠢᠴ ᠠᠭᠠᠵ ᠤ ᠤ ᠯᠤᠭᠰ ᠠᠨ ᠲ ᠣᠭ ᠠ ᠪᠠᠷ ᠢᠮᠳ᠋ᠠ ᠪᠡᠨ ᠳᠠᠪ ᠳ᠋ᠠᠮᠵ ᠢ ᠶᠢᠨ ᠳᠠᠷᠬ ᠠᠯᠳ᠋ᠠ ᠶᠢᠨ ᠰᠢ ᠯᠤᠭᠤ ᠨ ᠳ ᠦ᠋ᠷᠪ ᠡᠯᠵᠢᠨ ᠵᠢᠷ ᠤᠭ ( ᠡ ᠷᠡᠭᠳ᠋ᠡ ᠢ ᠰ ᠤᠷᠤᠭ ᠴᠢ ) ᠪ ᠠ ᠬ ᠦᠰᠦ ᠨᠦᠭᠳ᠋ᠤ ( ᠡᠮᠡᠭᠳ᠋ᠡ ᠢ ᠰᠤᠷ ᠤᠭᠴ ᠢ ) ᠪᠡᠷ ᠢᠯᠡᠷ ᠬᠡᠢᠯ ᠡᠪᠡ᠄ (1) ᠬᠦᠰ ᠦᠨᠦᠭᠳ᠋ᠤ ᠲᠤ m = __ ___ _ , n = __ ___ __ (2) ᠲᠤᠰ ᠤᠳ᠋ᠠ ᠭᠠᠨ ᠤ ᠪ ᠠᠢᠴ ᠠᠭᠠᠯᠳ᠋ᠠ ᠨᠢ ᠬᠡᠳ᠋ᠦ ᠢ ᠰᠤ ᠷᠤᠭᠴ ᠢ ᠳ᠋ᠤ ᠪᠠᠢ ᠴᠠᠭᠠ ᠯᠲᠠ ᠬᠢᠭᠰ ᠡᠨ ᠪ ᠤᠢ ︖ ᠰᠤᠷ ᠤᠯᠴᠠ ᠭᠰᠠᠨ ᠴᠠᠭ (ᠮᠢ ᠨᠦ᠋ᠲ ) 0≤ t 30 30 ≤ t 60 60 ≤ t 90 90 ≤ t 120 120 ≤ t 150 ᠲᠠᠪ ᠲᠠᠮᠵ ᠢ( ᠬᠦ ᠮᠦᠨ) 4 m 5 6 2 ᠡᠮᠡ ᠭᠲᠡᠢ ᠰᠤᠷ ᠤᠭᠴ ᠢ ᠲᠣ ᠳ᠋ᠣᠷ ᠡ ᠡᠵᠡᠯ ᠡᠬᠦ ᠵᠠ ᠭᠤᠨ ᠤ ᠬ ᠤᠪᠢ 20 15 25 n 10 18 . ( 10 ᠬᠤᠪ ᠢ ）ᠰᠤᠷᠤ ᠭᠴᠢᠳ ᠤᠨ ᠢᠶᠠᠨ ᠰᠤᠷ ᠭᠠᠭᠤ ᠯᠢ ᠳ᠋ ᠤ ᠤ ᠴᠢᠵᠤ ᠢᠷ ᠡᠬᠦ ᠵ ᠠᠮ ᠳ᠋ᠠ ᠭᠠᠨ ᠬᠡᠷᠡ ᠭᠯᠡᠬᠦ ᠴᠠᠭ ᠲᠤ ᠪᠠᠢ ᠴᠠᠭᠠ ᠯᠳ᠋ᠠ ᠬᠢ ᠬᠦ ᠶᠢ ᠨ ᠲ ᠦ᠋ᠯᠦ ᠭᠡ ᠨᠢᠭᠡ ᠪᠠᠭ ᠰᠢ ᠠᠨᠭᠬ ᠢ ᠶᠢ ᠨ ᠢᠶᠡᠨ 30 ᠨᠡᠷ ᠡ ᠰᠤ ᠷᠤᠭᠴ ᠢ ᠶᠢᠨ ᠵᠠᠮ ᠳ᠋ᠠᠭᠠ ᠨ ᠬᠡ ᠷᠡᠭᠯᠡ ᠬᠦ ᠴᠠ ᠭ ( ᠨᠢᠭᠡ ᠴᠢ᠄ ᠮᠢᠨᠤ ᠲ) ᠲᠤ ᠪᠠᠢᠴ ᠠᠭᠠᠯᠳ᠋ᠠ ᠬᠢᠪ ᠡ ᠃ ᠡᠭᠦ ᠨ ᠤ ᠳ᠋ᠦᠩ ᠳ᠋ᠤ ᠲᠤᠰ ᠪᠦᠷᠢ ᠄ 20 ᠂ 20 ᠂ 30 ᠂ 15 ᠂ 20 ᠂ 25 ᠂ 5 ᠂ 15 ᠂ 20 ᠂ 10 ᠂ 15 ᠂ 35 ᠂ 45 ᠂ 10 ᠂ 20 ᠂ 25 ᠂ 30 ᠂ 20 ᠂ 15 ᠂ 20 ᠂ 20 ᠂ 10 ᠂ 20 ᠂ 10 ᠂ 15 ᠂ 20 ᠂ 20 ᠂ 20 ᠂ 5 ᠂ 15 (1) ᠳᠡᠭᠡ ᠷᠡᠬᠢ ᠲᠣᠭ ᠠ ᠪᠠ ᠷᠢᠮᠳ᠋ᠠ ᠪᠡᠨ 20 ᠡᠴ ᠡ ᠪ ᠠᠭ ᠠ ᠂ 20 ᠲᠠᠢ ᠲᠡᠨ ᠭᠴᠡᠭᠦ ᠦ ᠂ 20 ᠡᠴ ᠡ ᠶᠡ ᠬᠡ ᠭᠡᠬᠦ ᠭᠤᠷ ᠪᠠᠨ ᠲᠦ᠋ᠷ ᠦᠯ ᠬ ᠤᠪᠢᠶ ᠠᠵᠤ ᠬᠠᠷᠠ ᠭᠠᠯᠵ ᠠᠭᠰᠠ ᠨ ᠪᠦ ᠷᠢᠳᠭ ᠡᠯ ᠦᠨ ᠬᠦᠰ ᠦᠨᠦᠭᠳ᠋ᠤ ᠶᠢ ᠨᠢ ᠵᠤᠬᠢ ᠶᠠ᠃ (2) ᠪᠦ ᠷᠢᠳᠭ ᠡᠯ ᠦᠨ ᠬᠦ ᠰᠦᠨᠦ ᠭᠳ᠋ᠤ ᠪᠡᠨ ᠥᠨ ᠳ᠋ᠤᠰᠤ ᠯᠡᠵᠤ ᠡᠯ ᠡ ᠲᠦ᠋ᠷ ᠦᠯ ᠳ᠋ᠡ ᠬᠢ ᠬ ᠦᠮᠦᠨ ᠦ ᠪ ᠦᠬᠦ ᠬᠦᠮᠦ ᠨ ᠦ ᠬ ᠤᠪᠢ ᠳ᠋ᠠᠬᠢ ᠵᠠᠭᠤ ᠨ ᠤ ᠬᠤᠪ ᠢ ᠶ ᠢ ᠪᠤᠳ᠋ ᠤᠵᠤ ᠭᠠᠷᠭ ᠠ᠃ 19 . (1 2 ᠬ ᠤᠪᠢ) ᠤᠶᠢ ᠷ ᠠ ᠵᠢᠨ ᠵᠢᠯ ᠡᠴᠡ ᠤᠷ ᠳ᠋ᠤᠰ ᠬᠤ ᠳ᠋ᠠ ᠵᠢᠨ ᠠᠵᠦ ᠠᠬ ᠤᠢ ᠵ ᠢᠨ ᠬ ᠦᠭᠵ ᠢᠯᠳ᠋ᠠ ᠳᠦ᠋ᠷ ᠭᠡᠳᠴ ᠤ ᠂ ᠤᠷᠴ ᠢᠨ ᠠ ᠬᠤᠢ ᠵᠢᠨ ᠬᠠᠮᠠᠭ ᠠᠯᠠᠯᠳ᠋ᠠ ᠰᠠᠶ ᠢᠵᠢᠷ ᠠᠭᠰᠠ ᠨ ᠡ ᠴᠡ ᠭᠠᠳ᠋ᠠ ᠨ ᠠ ᠤᠷᠤ ᠨ ᠤ ᠵᠢᠭ ᠤᠯᠴᠢ ᠳ ᠦ ᠨ ᠠᠩᠬ ᠠᠷᠤᠯ ᠢ ᠳ ᠠᠳ᠋ᠠᠵ ᠠᠢ ᠂ ᠨᠢᠭ ᠡ ᠵᠢ ᠭᠤᠯᠴ ᠢᠯᠠᠯ ᠦᠨ ᠦᠢ ᠯᠠᠴᠢᠯ ᠡᠭᠡᠨ ᠤ ᠭ ᠠᠵᠠᠷ ᠦᠨ 5 ᠳ᠋ᠤ ᠭᠠᠷ ᠰᠠᠷ ᠠ ᠳ᠋ᠤ ᠬᠦᠯᠢ ᠶᠠᠨ ᠠᠪᠤᠭ ᠰᠠᠨ ᠵᠢᠭᠤ ᠯᠴᠢᠳ ᠦᠨ ᠬᠠᠮ ᠤᠭ ᠦ ᠨ ᠳ ᠡᠷᠢᠭᠦ ᠨ ᠳ᠋ ᠤ ᠵᠤ ᠭᠠᠴᠠ ᠬᠤ ᠪ ᠠᠷ ᠰ ᠤᠩᠭ ᠤᠭᠰ ᠠᠨ ᠦ ᠵᠠᠮᠵᠢ ᠵᠢᠨ ᠤᠷ ᠤᠨ ᠤ ᠪᠠᠶᠢᠳ᠋ᠠ ᠯ ᠢ ᠶᠠ ᠩᠵᠦ ᠰ ᠤᠭᠤᠯ ᠤᠨ ᠪᠠᠶᠢᠴ ᠠᠭᠠᠭ ᠰᠠᠨ ᠳ᠋ᠦ᠋ᠩ ᠨᠢ ᠳ ᠤᠤᠷᠡᠭ ᠢ ᠬ ᠦᠰᠦ ᠨᠦᠭᠳ᠋ᠤ ᠪᠠ ᠵᠢ ᠷᠤᠭ ᠲᠦ ᠦᠵ ᠡᠭᠦᠯᠦ ᠭᠰᠡᠨ ᠮᠡᠳ᠋ᠤ ᠂ (1) ᠳᠤ ᠰ ᠤ ᠳ᠋ᠠᠭᠠ ᠨ ᠤ ᠪᠠᠶ ᠢᠴᠠᠭ ᠠᠯᠳ᠋ᠠ ᠳ᠋ᠤ ᠨᠠᠶ ᠢᠳ᠋ᠠ ᠬᠡᠳ᠋ᠤ ᠢ ᠬᠦ ᠮᠦᠨ ᠤᠷᠤ ᠯᠴᠠᠭ ᠰᠠᠨ ᠪᠤᠢ ︖ ᠲᠠ ᠳᠡᠭᠡ ᠷᠡᠭᠢ ᠬᠦᠰ ᠦᠨᠤᠭ ᠳ᠋ᠤ ᠵ ᠢᠨ ᠬᠤᠭ ᠤᠰᠤᠨ ᠢ ᠳ ᠠᠭᠯᠠᠵ ᠦ ᠳ ᠡᠭᠡᠷᠡ ᠭᠢ ᠵ ᠢᠷᠤᠭ ᠲᠦ ᠪᠦᠷ ᠢᠶ ᠠ ᠮᠠᠩᠬ ᠠ ᠵ ᠢᠨ ᠵ ᠢᠷᠤᠭ ᠢ ᠨᠦ᠋ᠭ ᠦᠵᠦ ᠵᠢᠷᠤ ᠃ (2) ᠬᠡᠷᠪ ᠠ ᠳ ᠡᠭᠡᠷᠡ ᠭᠢ ᠬ ᠦᠰᠦ ᠨᠦᠭᠳ᠋ᠤ ᠳ᠋ᠤ ᠢᠯᠡᠳ ᠭᠡᠭᠰ ᠡᠨ ᠳ᠋ᠠ ᠶᠢᠲ᠋ᠠ ᠵᠢ ᠳᠤᠭ ᠤᠷᠢᠭ ᠪᠦᠷ ᠢᠳᠭᠡ ᠯ ᠦᠨ ᠵᠢᠷ ᠤᠭ ᠵᠢᠨᠷ ᠢᠯᠡᠷ ᠭᠡᠶᠢᠯ ᠡᠪᠠᠯ ︽ᠡᠩᠭ ᠡᠪᠠᠢ ︾ᠵᠢ ᠢᠯᠡᠳ ᠭᠡᠭᠰ ᠡᠨ ᠳ ᠡᠪᠢᠭᠦ ᠷ ᠬᠡ ᠯᠪᠠᠷᠢ ᠳ᠋ᠤ ᠵᠢᠨ ᠳᠦ᠋ ᠪ ᠦ ᠨᠴᠦᠭ ᠨᠢ ᠬᠡᠳ᠋ᠤ ᠢ ᠬᠡᠷᠠᠳ᠋ᠦ᠋ ᠰ ᠪᠠ ᠶᠢᠪᠠᠯ ᠵᠤᠬ ᠢᠬᠤ ᠪᠤᠢ ︖ (3) ᠬᠡᠷ ᠪᠠ ᠳ ᠤᠰ ᠵ ᠢᠭᠤᠯ ᠴᠢᠯᠠᠯ ᠦᠨ ᠦ ᠢᠯᠠᠴᠢ ᠯᠡᠭᠡᠨ ᠤ ᠭ ᠠᠵᠠᠷ 6 ᠳ᠋ᠤ ᠭᠠᠷ ᠰᠠᠷ ᠠ ᠳ᠋ᠤ ᠤᠷᠳ᠋ᠤ ᠰ ᠬ ᠤᠳ᠋ᠠ ᠳ᠋ᠤ ᠵᠤᠭᠠ ᠴᠠᠬᠤ ᠪᠠᠷ ᠢᠷ ᠡᠭᠦ ᠭ ᠠᠳ᠋ᠠᠨ ᠠ ᠤ ᠷᠤᠨ ᠤ 2 50 0 ᠵ ᠢᠭᠤᠯ ᠴᠢᠨ ᠢ ᠬ ᠦᠯᠢᠶ ᠡᠨ ᠠᠪ ᠬᠤ ᠪᠠᠷ ᠳᠦ᠋ᠯ ᠤᠪᠯᠡᠭ ᠰᠡᠨ ᠪᠤᠯ ᠬᠠᠮᠤ ᠭ ᠦᠨ ᠳᠡᠷ ᠢᠭᠦᠨ ᠳ᠋ᠤ ᠴᠢᠩ ᠭᠢᠰ ᠦᠨ ᠤᠩ ᠭᠤᠨ ᠳ᠋ᠤ ᠵᠤᠭᠠ ᠴᠠᠬᠤ ᠵᠢ ᠰᠤᠩ ᠭᠤᠭ ᠰᠠᠨ ᠵᠢᠭᠤ ᠯᠴᠢᠨ ᠨᠢ ᠪᠠᠷᠤ ᠭ ᠬᠡᠳ᠋ᠤ ᠢ ᠬᠦ ᠮᠦᠨ ᠪᠠᠶᠢᠬ ᠤ ᠪᠤᠢ ︖ 20 . (1 2 ᠬᠤᠪ ᠢ) ᠨᠢᠭᠡ ᠨ ᠬᠤᠳ᠋ᠠ ᠶᠢᠨ ᠵ ᠠᠰᠠᠭ ᠤᠨ ᠤᠷᠳ᠋ᠤ ᠨ ᠬᠤᠳ᠋ ᠠ ᠶᠢ ᠨ ᠪᠦᠳ᠋ᠦ ᠭᠡᠨ ᠪᠠᠢᠭ ᠤᠯᠤᠯ ᠳ᠋ᠠ ᠪᠠᠨ ᠴᠢᠨᠭᠭ ᠠᠳᠬ ᠠᠤ ᠶᠢ ᠨ ᠲ ᠥᠯᠦ ᠭᠡ ᠨ ᠡᠢᠭᠡ ᠮ ᠦᠨ ᠡᠯ ᠡ ᠡᠲᠡ ᠭᠡᠳ ᠡᠴᠡ ᠰᠠᠨ ᠠᠯ ᠬ ᠤᠷᠢᠶ ᠠᠪᠠ᠂ ᠰᠠᠨ ᠠᠯ ᠬᠤᠷ ᠢᠶᠠᠬ ᠤ ᠳ᠋ᠠ ᠭᠠᠨ ᠪᠠᠢᠴ ᠠᠭᠠᠯᠲᠠ ᠶᠢᠨ ᠬᠠ ᠭᠤᠳ᠋ᠠ ᠰᠤ ᠲᠠᠷᠬ ᠠᠭᠠᠵ ᠤ᠂ ᠪᠠᠢᠴ ᠠᠭᠠᠭ ᠳ᠋ᠠᠭᠰ ᠠᠨ ᠬᠦᠮᠦ ᠨ ᠪ ᠦᠷᠢ ᠬᠠ ᠮᠤᠭ ᠴᠢᠬ ᠤᠯᠠ ᠭᠡᠵᠤ ᠦ ᠵᠡᠵᠤ ᠪᠠ ᠢᠭ ᠠ ᠨᠢ ᠭᠡᠨ ᠪᠦᠳ᠋ᠦ ᠭᠡᠨ ᠪᠠᠢᠭ ᠤᠯᠤᠯ ᠳ᠋ᠠ ᠶᠢᠨ ᠰᠠ ᠨᠠᠯ ᠢ ᠶᠠᠨ ᠳᠤᠷ ᠠᠳᠬ ᠤ ᠶᠢ ᠱᠠᠭ ᠠᠷᠳ᠋ᠠᠪ ᠠ᠃ ᠪᠦᠷᠢ ᠳᠭᠡᠯ ᠦᠨ ᠲᠣᠭ ᠠ ᠪ ᠠᠷᠢᠮᠳ᠋ᠠ ᠪᠠᠨ ᠡᠮᠬ ᠢᠯᠡᠭᠰ ᠡᠨ ᠦ ᠰᠡ ᠬᠦᠯᠡᠷ ᠬᠠᠷ ᠭᠠᠯᠵ ᠠᠭᠰᠠ ᠨ ᠪ ᠦᠷᠢᠳ ᠭᠡᠯ ᠦ ᠨ ᠵᠢᠷᠤ ᠭ ᠢ ᠨᠢ ᠳᠤᠤᠷ ᠠᠬᠢ ᠮᠡᠳ᠋ᠤ ᠰ ᠠᠪᠠᠭ ᠠᠨ ᠪᠦᠷᠢ ᠳᠭᠡᠯ ᠤᠨ ᠵᠢᠷᠤ ᠭ ᠢᠶ ᠠᠷ ᠢᠯᠡᠷ ᠬᠡᠢᠯ ᠡᠪᠡ᠃ ᠪᠦ ᠷᠢᠳᠭ ᠡᠯ ᠡ ᠴᠡ ᠦᠵ ᠡᠪᠡᠯ ᠤᠷᠴ ᠢᠨ ᠲᠣᠭ ᠤᠷᠢᠨ ᠦ ᠬᠠᠮᠠᠭ ᠠᠯᠠᠯᠲᠠ ᠶᠢᠨ ᠲᠤ ᠬᠠᠢ ᠰᠠᠨᠠᠯ ᠲᠤ ᠷᠠᠳ᠋ᠤ ᠭᠰᠠᠨ ᠬᠦ ᠮᠦᠨ 70 0 ᠪ ᠤᠢ ᠃ ᠲᠤᠤ ᠷᠠᠬᠢ ᠠᠰᠠ ᠭᠤᠯᠲᠠ ᠶᠢ ᠬ ᠠᠷᠢᠭ ᠤᠯ᠄ (1) ᠨᠡᠢ ᠳ᠋ᠡ_ ____ _ᠬᠦ ᠮᠦᠨ ᠢ ᠪᠠᠢ ᠴᠠᠭᠠ ᠪᠠ᠃ (2) ᠵᠠᠮ ᠬᠠᠷᠢ ᠯᠴᠠᠭ ᠠᠨ ᠤ ᠠᠰ ᠠᠭᠤᠳ᠋ᠠ ᠯ ᠤᠨ ᠲᠤᠬ ᠠᠢ ᠰ ᠠᠨᠠᠯ ᠲᠤᠷ ᠠᠳ᠋ᠤᠭ ᠰᠠᠨ ᠬᠦᠮᠦ ᠨ_ ___ __ ᠪᠤᠢ᠃ (3) ᠲᠠ ᠲᠤ ᠰ ᠰ ᠠᠪᠠᠭ ᠠᠨ ᠪᠦᠷᠢ ᠳᠭᠡᠯ ᠦᠨ ᠵᠢᠷᠤ ᠭ ᠢ ᠳᠡᠪᠢ ᠭᠦᠷ ᠬᠡᠯᠪᠡ ᠷᠢᠳ᠋ᠤ ᠪᠦ ᠷᠢᠳᠭ ᠡᠯ ᠦᠨ ᠵᠢᠷ ᠤᠭ ᠪᠤᠯᠭ ᠠᠨ ᠥ ᠭᠡᠷᠡᠴ ᠢᠯᠡ ᠃ ᠲ ᠥ ᠷ ᠦ ᠯ ᠵ ᠦ ᠢ ᠯ ᠵ ᠠ ᠭ ᠤ ᠨ ᠤ ᠬ ᠤ ᠪᠢ 0 5 10 15 20 25 30 35 40 ᠣᠷᠤ ᠨ ᠰ ᠠᠭᠤᠴ ᠠ ᠶ ᠢᠨ ᠪ ᠦᠳ᠋ᠦ ᠭᠡᠨ ᠪᠠᠢ ᠭᠤᠯᠤ ᠯᠲᠠ ᠣ ᠷᠴᠢᠨ ᠲᠤ ᠭᠤᠷᠢ ᠨ ᠤ ᠪᠦᠲ ᠦᠭᠡᠨ ᠪᠠᠢ ᠭᠤᠯᠤ ᠯᠲᠠ ᠦᠵ ᠠᠮᠵᠢ ᠵᠢᠨ ᠤᠷ ᠤᠨ ᠴᠢᠩ ᠭᠢᠰ ᠦᠨ ᠤ ᠩᠭᠤ ᠨ ᠪᠦᠷ ᠢᠶ ᠠ ᠮᠠᠩᠬ ᠠ ᠡᠩᠭ ᠡᠪᠠᠢ ᠳᠠᠭ ᠤᠳ᠋ᠤ ᠨᠠᠭᠤ ᠷ ᠪᠠᠳ᠋ᠤ ᠵᠢᠨ ᠳᠤᠬ ᠤᠢ ᠳᠠᠪᠳ᠋ᠠ ᠭᠳ᠋ᠠᠭ ᠰᠠᠨ ᠳ ᠤᠭ ᠠ 116 84 63 37 ᠳᠠᠪᠳ᠋ᠠ ᠮᠵᠢ 29 × 25 × 21 × 15 .75 × 9.2 5× ᠵᠠᠮ ᠬᠠᠷᠢ ᠯᠴᠠᠭ ᠠᠨ ᠦ ᠠ ᠰᠠᠭᠤ ᠳ᠋ᠠᠯ ᠨᠤᠭ ᠤᠭᠠᠷ ᠠᠭᠤᠯ ᠤᠯᠳ᠋ᠠ 21. (1 2 ᠬ ᠤᠪᠢ) ᠪᠦᠬᠦ ᠤᠯ ᠤᠰ ᠤ ᠨ ᠬ ᠤᠶᠠᠷ ᠬᠤᠷ ᠠᠯ ᠳ ᠡᠭᠡᠷ ᠡ ︽ᠠᠷᠠ ᠳ ᠤ ᠨ ᠠᠮ ᠢᠳ᠋ᠤᠷ ᠠᠯ ︾ ᠦᠨ ᠲᠤᠬ ᠠᠢ ᠠᠰ ᠠᠭᠤᠳ᠋ᠠ ᠯ ᠢ ᠨᠢᠭ ᠡᠨ ᠴᠢ ᠬᠤᠯᠠ ᠠᠰ ᠠᠭᠤᠳ᠋ᠠ ᠯ ᠪᠤᠯ ᠭᠠᠨ ᠶᠠᠷᠢᠯ ᠴᠠᠪᠠ ᠂ᠰᠤ ᠷᠪᠤᠯᠵ ᠢᠯᠠᠭ ᠴᠢ ᠠ ᠴᠠ ᠬᠤᠶᠠ ᠷ ᠬ ᠤᠷᠠᠯ ᠳᠡᠭᠡ ᠷ ᠡ ᠲᠤᠷ ᠠᠳ᠋ᠤᠭ ᠰᠠᠨ ᠡᠨᠡᠬᠦ ᠠᠰ ᠠᠭᠤᠳ᠋ᠠ ᠯ ᠳ᠋ᠤ ᠬ ᠤᠳ᠋ᠠ ᠶᠢᠨ ᠠᠷ ᠠᠳ ᠤᠨ ᠰᠠᠨᠠᠯ ᠶ ᠠᠮᠠᠷ ᠪᠠᠢᠭ ᠠ ᠶᠢ ᠤᠢ ᠯᠠᠭᠠᠬ ᠤ ᠪᠠ ᠷ ᠲᠠᠰᠢ ᠷᠠᠮ ᠢᠶᠠᠷ ᠬᠡᠰᠡᠭ ᠬ ᠤᠳ᠋ᠠ ᠶᠢᠨ ᠠᠷ ᠠᠳ ᠲᠤ ᠪᠠᠢᠴ ᠠᠭᠠᠯᠳ᠋ᠠ ᠶ ᠠᠪᠤᠭ ᠤᠯᠪᠠ ᠃ ᠪᠠᠢᠴ ᠠᠭᠠᠯᠳ᠋ᠠ ᠶᠢᠨ ᠳ᠋ᠦ᠋ᠩ ᠢᠶᠡᠨ ᠡᠮ ᠬᠢᠯᠡᠭ ᠰᠡᠨ ᠦ ᠰ ᠡᠭᠦᠯᠡ ᠷ ᠵ ᠢᠷᠤᠭ ᠮᠡ ᠳ᠋ᠤ ᠬᠦᠰ ᠦᠨᠦᠭᠳ᠋ᠤ ᠪᠤᠯ ᠤᠨ ᠲᠤᠭ ᠤᠷᠢᠭ ᠪᠦᠷ ᠢᠳᠭᠡ ᠯ ᠦᠨ ᠵᠢᠷ ᠤᠭ ᠢ ᠶᠠᠷ ᠲᠤᠤ ᠷᠠᠬᠢ ᠮᠡᠳ᠋ᠦ ᠢ ᠯᠡᠷᠬᠡ ᠢᠯᠡᠪ ᠡ᠃ᠳ ᠡᠭᠡᠷᠡ ᠬᠢ ᠰᠤᠷ ᠠᠭ ᠵᠠᠨᠭᠬ ᠢ ᠶᠢ ᠦ ᠨᠳ᠋ᠦᠰ ᠤᠯᠡᠨ ᠠᠰᠠ ᠭᠤᠯᠳ᠋ᠠ ᠬᠠᠷ ᠢᠭᠤᠯ ᠄ (1) ᠬᠦ ᠰᠦᠨᠦ ᠭᠳ᠋ᠤ ᠳ᠋ᠠᠬᠢ m = ___ ___ , n= ___ ___ __ ᠲᠤᠭ ᠤᠷᠢᠭ ᠪᠦ ᠷᠢᠳᠭ ᠡᠯ ᠦᠨ ᠵᠢᠷ ᠤᠭ ᠲ ᠤ E ᠬᠡᠰ ᠡᠭ ᠦ ᠨ ᠡ ᠵᠡᠯᠡᠬ ᠦ ᠵᠠ ᠭᠤᠨ ᠤ ᠬᠤᠪ ᠢ ᠨᠢ ᠬᠡᠳ᠋ᠦ ᠢ ᠪᠤᠢ ︖ (2) ᠬᠡᠷ ᠪᠡ ᠲᠤᠰ ᠬᠤ ᠳ᠋ᠠ ᠳ᠋ᠤ 75 0 ᠲ ᠦ᠋ᠮᠡᠨ ᠬᠦ ᠮᠦᠨ ᠠᠮᠠ ᠲᠠᠢ ᠪᠤᠯ ᠣᠷᠴ ᠢᠨ ᠲ ᠣᠭᠤᠷ ᠢᠨ ᠤ ᠬᠠᠮ ᠠᠭᠠᠯᠠ ᠯᠲᠠ ᠳ᠋ᠤ ᠠᠨᠭᠬ ᠠᠷᠤᠯ ᠢᠶᠠᠨ ᠬᠠᠨ ᠳ᠋ᠤᠭ ᠤᠯᠵᠤ ᠪᠠᠢ ᠬᠤ ᠬ ᠦᠮᠦ ᠨ ᠪ ᠠᠷᠤᠭ ᠬᠡᠳ᠋ᠦ ᠢ ᠪᠠ ᠢᠬᠤ ᠪᠤᠢ︖ 22. (1 4 ᠬ ᠤᠪᠢ) ᠵᠢᠷᠤ ᠭ ᠢ ᠠᠵᠢ ᠭᠯᠠᠨ ᠠᠰ ᠠᠭᠤᠯ ᠲᠠ ᠬᠠᠷᠢ ᠭᠤᠯ᠄ (1) ᠬᠡᠷ ᠪᠡ ᠪᠦᠳ᠋ᠤ ᠨ ᠲ ᠤᠭᠤᠷ ᠢᠭ ᠨ ᠢ ᠪᠦ ᠭᠦᠳ᠋ᠡ ᠶᠢ ᠢᠯᠡᠷ ᠬᠡᠢᠯ ᠡᠪᠡᠯ᠂ ᠳᠡ ᠪᠢᠭᠦ ᠷ ᠬᠡ ᠯᠪᠡᠷᠢ ᠳ᠋ᠤ A ᠂ B ᠂ C᠂ D ᠨᠢ ᠲ ᠤᠰ ᠪ ᠦᠷᠢ ᠪᠦᠬ ᠦᠳ᠋ᠡ ᠶᠢᠨ ᠬᠡᠳ᠋ᠦ ᠨ ᠦ ᠬᠡᠳ᠋ᠤ ᠶᠢ ᠡ ᠵᠡᠯᠡᠬ ᠦ ᠪᠤᠢ ︖ (2) ᠬᠡᠷ ᠪᠡ ᠪᠦᠳ᠋ᠦ ᠨ ᠲ ᠤᠭᠤᠷ ᠢᠭ ᠨ ᠢ ᠨᠢ ᠭᠡᠨ ᠰᠤᠷᠭ ᠠᠭᠤᠯ ᠢ ᠶᠢᠨ ᠳᠤ ᠯᠣᠳ᠋ᠤ ᠭᠠᠷ ᠡᠤᠨ ᠤ ᠪ ᠦᠬᠦ ᠰᠤᠷ ᠤᠭᠴᠢ ᠶᠢᠨ ᠲᠣ ᠭ ᠠ ᠶᠢ ᠢ ᠯᠡᠷᠬᠡ ᠢᠯᠡᠬ ᠦ ᠪᠦ ᠭᠡᠳ ᠳᠡᠪ ᠢᠭᠦᠷ ᠬᠡᠯᠪ ᠡᠷᠢᠳ᠋ᠤ A ᠨᠢ 70 ᠬᠦᠮ ᠦᠨ ᠢ ᠢᠯ ᠡᠷᠬᠡᠢ ᠯᠡᠪᠡᠯ ᠳᠡᠪ ᠢᠭᠦᠷ ᠬᠡᠯᠪᠡ ᠷᠢᠳ᠋ᠤ B᠂ C᠂ D ᠨᠢ ᠲ ᠤᠰᠪᠤᠷ ᠢ ᠬᠡᠳ᠋ᠦ ᠢ ᠬᠦ ᠮᠦᠨ ᠢ ᠢ ᠯᠡᠷᠬᠡ ᠢᠯᠡᠬ ᠦ ᠪᠤᠢ ︖ (3) ᠬᠡᠷ ᠪᠡ ᠪ ᠦᠳ᠋ᠦ ᠨ ᠲ ᠤᠭᠤᠷ ᠢᠭ ᠨ ᠢ ᠨᠢ ᠭᠡ ᠬᠡᠰᠡᠭ ᠪᠤᠭ ᠤᠳ᠋ᠠᠢ ᠶᠢᠨ ᠲᠠᠷ ᠢᠶ ᠠ ᠶᠢ ᠢ ᠯᠡᠷᠬᠡ ᠢᠯᠡᠬ ᠦ ᠪᠦ ᠭᠡᠳ A , B ᠬᠤ ᠶᠠᠷ ᠬᠡᠰᠡᠭ ᠦᠨ ᠲᠠᠯᠠ ᠪᠠᠢ ᠶ ᠢᠨ ᠨᠡᠢᠯ ᠡᠪᠦᠷᠢ ᠨᠢ 9 ᠾᠸ ᠺᠲ᠋ᠠᠷ ᠪᠤᠯ D ᠬᠡᠰᠡᠭ ᠭᠠ ᠵᠠᠷ ᠤᠨ ᠲᠠᠯᠠ ᠪᠠᠢ ᠨ ᠢ ᠬᠡᠳ᠋ᠦ ᠢ ᠪᠤᠢ ︖ D C B A 90 ° 60 ° 60 ° 10% 20% A Ｅ Ｄ Ｃ Ｂ ᠪᠥᠯᠥ ᠭ A B C D E ᠲᠥᠪ ᠯᠡᠷᠡᠯ ᠠᠰ ᠠᠭᠤᠳ᠋ᠠ ᠯ ᠢᠳ᠋ᠡ ᠭᠡᠨ ᠦ ᠠᠮ ᠤᠷ ᠲ ᠥᠪᠰ ᠢᠨ ᠰᠤᠷ ᠭᠠᠨ ᠬᠦᠮ ᠦᠵᠢᠯ ᠡᠮ ᠡᠮᠨᠡᠯ ᠭᠡ ᠠᠵᠢ ᠯ ᠣ ᠯᠬᠤ ᠵᠢᠴᠢ ᠨᠠᠰ ᠤᠵᠢᠯ ᠤᠨ ᠠᠰᠠ ᠭᠤᠳ᠋ᠠ ᠯ ᠠᠮᠢ ᠠᠬ ᠤᠢ᠂ ᠣᠷᠴ ᠢᠨ ᠲ ᠣᠭᠣᠷ ᠢᠨ ᠢ ᠬᠠᠮ ᠠᠭᠠᠯᠠ ᠬᠤ ᠪᠤᠰᠤ ᠳ ᠳᠠᠪᠳ᠋ᠠ ᠮᠵᠢ ( ᠬᠦ ᠮᠦᠨ ) 80 m n 120 60