ᠨᠢᠭᠡᠳᠤᠭᠡᠷ ᠪᠥᠯᠥᠭ ᠶᠤᠰᠤᠲᠠᠢ ᠲᠤᠭᠠ (ᠨᠢᠭᠡᠴᠢ ᠶᠢᠨ ᠪᠠᠢᠴᠠᠭᠠᠯᠲᠠ 1) .pdf
ᠨᠢᠭᠡ ᠳᠤᠭᠡᠷ ᠪᠥᠯ ᠥᠭ ᠦᠨ ᠪᠠᠢ ᠴᠠᠭᠠᠯᠲᠠ ᠠᠩᠭᠢ ᠪᠥᠯ ᠥᠭ᠄ ᠨᠡᠷ ᠡ᠄ ︵90 ᠮᠢᠨᠦ᠋ ᠲ᠂ ᠨᠠᠢᠲᠡ 12 0 ᠬ ᠤᠪᠢ ︶ ᠨᠢᠭᠡ᠂ ᠰᠤ ᠩᠭᠤ ᠬᠤ ᠰ ᠡᠲᠤᠪ ᠃ ︵ ᠰᠡᠲ ᠤᠪ ᠪ ᠦᠷᠢ 3 ᠬᠤᠪᠢ᠂ ᠨᠠᠢᠲᠡ 30 ᠬᠤᠪᠢ ︶ 1. ᠨᠢᠬᠡ ᠵᠦ᠋ᠢᠯ ᠦᠨ ᠡᠮ ᠦᠨ ᠬᠠᠳᠠ ᠭᠠᠯᠠᠵ ᠤ ᠬᠤᠷᠢᠶᠠᠬ ᠤ ᠲᠤ ᠯᠠᠭᠠᠴᠠ ᠨᠢ ( 20 ± 2) ℃ ᠪᠤᠢ᠂ ᠲᠡᠭᠡᠪ ᠡᠯ ᠡᠨᠡ ᠬᠦ ᠡᠮ ᠢ ᠬᠠᠳᠠ ᠭᠠᠯᠠᠵ ᠤ ᠪᠤ ᠯᠬᠤ ᠲᠤᠬᠢᠷ ᠠᠮᠵᠢᠳᠠ ᠢ ᠲᠤᠯ ᠠᠭᠠᠴᠠ ᠨᠢ᠄ ( ) A. 18 ℃~20 ℃ B. 20 ℃~22 ℃ C. 18 ℃~21 ℃ D. 18 ℃~22 ℃ 2. ᠲᠤᠤᠷᠠ ᠬᠢ ᠬᠡ ᠯᠡᠯᠬᠡ ᠳᠡᠬᠢ ᠵ ᠦ᠋ᠪ ᠨᠢ᠄ ( ) ① ᠵᠠ ᠷᠢᠮ ᠶᠤᠰᠤ ᠲᠠᠢ ᠲᠣᠭ ᠠ ᠶᠢ ᠲᠣᠭ ᠠᠨ ᠤ ᠲᠡᠩᠭᠡᠯ ᠢᠭ ᠳᠡᠭᠡᠷ ᠡ ᠢ ᠯᠡᠷᠭᠡᠢᠯ ᠡᠵᠦ ᠲᠠᠢᠯ ᠬᠦ ᠦᠭᠡᠢ ᠃ ② ᠨᠢ ᠭᠡᠨ ᠲᠣᠭ ᠠ ᠨᠢ ᠡᠶᠡᠷᠬ ᠦ ᠲᠣ ᠭ ᠠ ᠪᠢᠰᠢ ᠪᠣᠯ ᠰᠥᠭᠡᠷ ᠬᠦ ᠲᠣᠭ ᠠ ᠮᠥᠨ᠃ ③ 𝑚 ᠪᠠ −𝑚 ᠨᠢ ᠬᠠᠷᠢᠯ ᠴᠠᠨ ᠡᠰᠡᠷ ᠬᠦ ᠲᠣᠭ ᠠ᠂ ᠡᠢᠮ ᠦ ᠡᠴᠡ ᠲᠡᠳᠡᠭᠡ ᠷ ᠨᠢ ᠯᠠᠪᠲᠠ ᠢ ᠲᠡ ᠩᠴᠡᠬᠦ ᠦᠭᠡᠢ᠃ ④ ᠬᠠᠷ ᠢᠴᠠᠯ ᠠᠰᠢᠬᠦᠢ ᠬᠡᠮᠵᠢᠭ ᠳᠡᠯ ᠨᠢ ᠲᠡ ᠭᠦᠨ ᠦ ᠲᠤᠰ ᠪᠡᠶ ᠡ ᠪᠣᠯᠬ ᠤ ᠲᠣᠭ ᠠ ᠪ ᠣᠯ ᠲᠡ ᠭ᠃ ⑤ ᠲᠡ ᠭ ᠨᠢ ᠡᠶᠡᠷᠬ ᠦ ᠲᠣᠭ ᠠ ᠴᠤ ᠮᠦ᠋ᠨ ᠰᠦ᠋ᠬ ᠡᠷᠭᠦ ᠲᠣᠭ ᠠ ᠴᠤ ᠮᠦ᠋ᠨ ᠃ A. 0 ᠪ ᠠᠢᠨ ᠠ B. 1 ᠪᠠᠢᠨ ᠠ C. 2 ᠪᠠᠢᠨ ᠠ D. 3 ᠪᠠᠢᠨ ᠠ 3. ᠵᠢᠷᠤᠭ ᠮᠡᠳᠦ ᠂ ᠲᠤᠭ ᠠᠨ ᠤ ᠲᠡᠨᠭᠬᠡ ᠯᠢᠭ ᠳᠡᠭᠡᠷ ᠡ ᠭ ᠤᠷᠪᠠᠨ ᠴᠡᠭ A , B , C ᠶᠢᠨ ᠢᠯᠡᠷ ᠬᠡᠢᠯ ᠡᠬᠦ ᠲᠣᠭ ᠠ ᠨᠢ ᠲᠤᠰ ᠲᠤᠰ 𝑎 ,b, c ᠪᠣᠯ ᠤᠨ ᠠ᠂ ᠲᠡᠭᠡᠪ ᠡᠯ ᠲᠤ ᠤᠷᠠᠬ ᠢ ᠬᠡ ᠯᠡᠯᠬᠡ ᠳᠡᠬ ᠢ ᠵᠦ᠋ᠪ ᠨᠢ᠄ ( ) A. 𝑎 0 B. b c C. b 𝑎 D. 𝑎 c 4. ᠨᠢᠭᠡ ᠶᠤᠰᠤᠲᠠᠢ ᠲᠣᠭ ᠠᠨ ᠤ ᠲᠣᠩᠭ ᠣᠷᠠᠭ ᠣ ᠲᠣᠭ ᠠ ᠨᠢ ᠲᠡ ᠭᠦᠨ ᠦ ᠲᠤᠰ ᠪᠡᠶ ᠡ᠂ ᠲᠡ ᠭᠡᠪᠡᠯ ᠡᠨᠡ ᠲᠣᠭ ᠠ ᠨᠢ ᠄ ( ) A. 0 B. 1 C. −1 D. 1 ᠪᠤᠶ ᠤ −1 5. ᠬᠡᠷ ᠪᠡ 𝑎 + 𝑏 0 ᠪᠥᠭᠡᠳ 𝑎𝑏 0 ᠪᠣᠯ ( ) A. 𝑎 0, 𝑏 0 C. 𝑎 0 D. 𝑎 0, 𝑏 ᠪᠣᠶ ᠤ ᠪᠤᠶ ᠤ = ᠲᠡᠮ ᠳᠡᠭ ᠲᠠᠭᠯ ᠠ ) ᠭᠤᠷᠪ ᠠ᠂ ᠪ ᠣᠳᠣᠵ ᠤ ᠬ ᠠᠷᠢᠭ ᠤᠯᠬᠤ ᠰᠡᠲ ᠤᠪ᠃ (ᠨᠠ ᠢᠲᠡ 66 ᠬᠤᠪ ᠢ) 19. ᠪᠤᠳᠤ᠃ ( 2 4 ᠬᠤᠪᠢ ) (1) 13 + ( -15 ) -( -23 ) (2) (− 17 )+ (− 33 )− 10 − (− 16 ) (3) (− 1413 ) × (− 162 ) × 0× 43 (4) ( 56 − 34 − 13 ) × (− 24 ) (5) −1 4− 16 × [2 − (− 3) 2] ÷ (− 7) (6) (1 12 − 58 + 712 ) ÷ (− 124 ) − 8× (− 12 ) 20. ( 5 ᠬᠤᠪᠢ ) ᠦ ᠭᠬᠦᠭᠳᠡᠭᠰᠡᠨ ᠨᠢ᠄ |𝑎| = 8 , |𝑏| = 5᠂ ᠬᠡᠷᠪᠡ |𝑎 + 𝑏| = 𝑎+ 𝑏 ᠪᠤᠯ᠂ 𝑎− b ᠦᠨ ᠬᠡᠮᠵᠢᠭᠳᠡᠯ ᠢ ᠤᠯ ︕ 21. (5 ᠬᠤᠪ ᠢ) ᠬᠡᠷᠪᠡ 𝑎 , 𝑏 ᠬᠠᠷ ᠢᠯᠴᠠᠨ ᠡᠰᠡᠷ ᠭᠦ ᠲᠣᠭ ᠠ᠂ 𝑐 , 𝑑 ᠬᠠᠷᠢᠯ ᠴᠠᠨ ᠲᠣᠩᠭ ᠣᠷᠠᠭ ᠣ ᠲᠣᠭ ᠠ᠂ 𝑚 ᠦ ᠨ ᠬᠠᠷ ᠢᠴᠠᠯ ᠠᠰᠢᠬᠦ ᠢ ᠬᠡ ᠮᠵᠢᠭ ᠳᠡᠯ ᠨᠢ 2 ᠪᠣᠯ ᠤᠨ ᠠ ᠃ (1) 𝑎+ b , cd , 𝑚 ᠦᠨ ᠬᠡᠮᠵᠢᠭ ᠳᠡᠯ ᠢ ᠲᠤᠰ ᠲ ᠤᠰ ᠪᠢᠴᠢ ᠃ (2) 𝑚 + 𝑐𝑑 + 𝑎+ 𝑏𝑚 ᠦ ᠨ ᠬᠡ ᠮᠵᠢᠭᠳᠡᠯ ᠢ ᠤᠯ ︕ 22. (9 ᠬᠤᠪᠢ ) ᠲᠠ ᠯᠠᠢ ᠠᠮᠤ ᠪᠤᠳᠠᠭ ᠠᠨ ᠤ ᠲᠡᠯᠬ ᠡᠬᠦᠷ ᠦᠨ 3 ᠡᠳᠦ ᠷ ᠦᠨ ᠬᠦᠮᠦ ᠷᠭᠡ ᠳ ᠦ ᠠ ᠮᠤ ᠪᠤᠳᠠᠭ ᠠᠨ ᠤᠷᠤᠭᠤᠯ ᠵᠤ ᠭᠠᠷᠭ ᠠᠭᠰᠠᠨ ᠪᠠᠢᠳᠠ ᠯ ᠢ ᠲᠤᠤᠷᠠ ᠬᠢ ᠮᠡᠳᠤ ᠪᠠᠷ ᠲᠡᠮᠳᠡᠭᠯᠡᠵᠡᠢ ( ︽+ ︾ ᠪ ᠠᠷ ᠤᠷᠤᠭᠤᠯ ᠤᠭᠰ ᠠᠨ ᠢ ︽− ︾ ᠪᠠᠷ ᠭᠠᠷ ᠭᠠᠭᠰᠠᠨ ᠢ ᠢ ᠯᠡᠷᠬᠡᠢᠯ ᠡᠨ ᠡ ᠂ ᠨᠢ ᠬᠡᠴᠢ᠄ ᠲᠤᠨ )᠄ +26 , − 32 , − 15 , + 34 , − 38 , − 20 (1) ᠭᠤᠷᠪ ᠠᠨ ᠡᠳᠤᠷ ᠤᠨ ᠳᠠᠷᠠᠭ ᠠ ᠬᠦᠮᠦᠷᠬ ᠡ ᠳᠡᠬ ᠢ ᠠᠮᠤ ᠪᠤᠳᠠᠭ ᠠ ᠨᠡᠮᠡᠭ ᠳᠡᠭᠰᠡᠨ ᠤᠤ ︖ ᠬᠤᠷᠤᠭᠳᠠ ᠭᠰᠠᠨ ᠤ ᠤ ︖ (2) ᠬᠦ ᠮᠦᠷᠬ ᠡ ᠬᠠᠮ ᠢᠶᠠᠷᠤᠭᠴ ᠢ ᠭ ᠤᠷᠪᠠᠨ ᠡᠳᠤᠷ ᠤᠨ ᠳᠠᠷᠠᠭ ᠠ ᠲᠠ ᠨᠭᠰᠠ ᠪᠠᠨ ᠪᠤᠳᠤᠵ ᠤ ᠦᠵ ᠡᠭᠡᠳ ᠄ ︽ ᠤᠳᠤ ᠬᠦ ᠮᠦᠷᠬ ᠡ ᠳᠦ ᠪᠠᠰᠠ 28 0 ᠲ ᠤᠨ ᠠᠮᠤ ᠪᠤᠳᠠᠭ ᠠ ᠪ ᠠᠢᠨ ᠠ ︾ᠬᠡᠵᠡᠢ᠂ ᠲᠡ ᠭᠡᠪᠡᠯ ᠭᠤᠷᠪ ᠠᠨ ᠡᠳᠦᠷ ᠦᠨ ᠡᠮᠦᠨ ᠡ ᠬᠦ ᠮᠦᠷᠬ ᠡ ᠳᠦ ᠬᠡᠳᠦ ᠢ ᠲᠤᠨ ᠠᠮᠤ ᠪᠤᠳᠠᠭ ᠠ ᠪᠠᠢᠭᠰᠠᠨ ᠪᠤᠢ ︖ (3 ) ᠬᠡ ᠷᠪᠡ ᠬᠦᠮᠦ ᠷᠬᠡ ᠳ ᠦ ᠤᠷ ᠤᠭᠤᠯ ᠵᠤ ᠭᠠᠷᠭ ᠠᠬᠤ ᠳᠤ ᠲᠤᠨ ᠪᠦᠷᠢ 5 ᠲᠦ᠋ ᠬᠦᠷᠢᠭ ᠦᠨ ᠬᠦᠯᠦᠰ ᠦ ᠦᠭ ᠳᠡᠭ ᠪᠤᠯ᠂ ᠭᠤᠷᠪ ᠠᠨ ᠡᠳ ᠦᠷ ᠦ ᠨ ᠤᠷ ᠤᠭᠤᠯ ᠵᠤ ᠭᠠᠷ ᠭᠠᠬᠤ ᠬ ᠦᠯᠦ ᠰᠦ ᠨᠢ ᠬᠡᠳᠦᠢ ᠲᠦ᠋ᠬᠦᠷ ᠢᠭ ᠪ ᠤᠢ ︖ 23. ( 8 ᠬ ᠤᠪᠢ ) ᠵᠢᠷ ᠤᠭ ᠮᠡᠳᠤ ᠂ ᠲᠤᠭ ᠠᠨ ᠤ ᠲᠡᠨᠭᠬᠡ ᠯᠢᠭ ᠲᠡᠭᠡᠷ ᠡᠬᠢ ᠦᠭ ᠬᠦᠭᠳᠡᠭ ᠰᠡᠨ ᠴᠡᠭ A (− 1) ᠪᠠᠷ ᠠᠭᠤᠨᠰᠢ ᠴᠢᠭᠯᠡᠯ ᠢᠶᠡᠷ 3 ᠨᠢᠭᠡᠴᠢ ᠬᠦᠳᠡᠯ ᠬᠡᠬᠡᠨ ᠬᠢᠵᠤ ᠴᠡᠭ C ᠲᠦ ᠬᠦᠷᠴᠡ ᠢ᠂ ᠴᠡ ᠭ B ᠨᠢ 5 ᠵᠢᠨ ᠡᠰᠡᠷ ᠭᠦ ᠲᠣᠭ ᠠ ᠶᠢ ᠢᠯᠡᠷ ᠬᠡᠢᠯ ᠡᠨ ᠡ᠂ ᠱᠠᠭ ᠠᠷᠳᠠᠯᠭ ᠠ ᠶᠤᠰᠤ ᠭᠠᠷ ᠲᠤᠤᠷᠠ ᠬᠢ ᠰᠡᠳᠦᠪ ᠦᠳ ᠢ ᠬᠦᠢᠴᠡᠳᠬᠡ ︕ (1) ᠲᠤᠭᠠ ᠨ ᠤ ᠲᠡᠨᠭᠬᠡ ᠯᠢᠭ ᠲᠤ ᠴᠡ ᠭ C ᠪᠠ ᠴᠡ ᠭ B ᠵᠢ ᠢ ᠯᠡᠷᠬᠡᠢᠯ ᠡ᠃ (2) ᠴᠡᠭ C ᠪᠠ ᠴᠡ ᠭ B ᠵᠢ ᠢ ᠯᠡᠷᠬᠡᠢᠯ ᠡᠬᠦ ᠲᠤᠭ ᠠᠨ ᠤ ᠦᠷᠡ ᠵᠢᠪᠦᠷᠢ ᠶᠢ ᠤᠯ ᠃ (3) ᠬᠡ ᠷᠪᠡ ᠲᠤᠭ ᠠᠨ ᠤ ᠲᠡᠨᠭᠬᠡ ᠯᠢᠭ ᠲᠠᠭ ᠠᠤ ᠨᠤᠭ ᠤᠯᠵᠤ ᠴᠡᠭ A ᠪᠠ ᠴᠡᠭ B ᠵᠢ ᠲᠠᠪᠬᠤᠴ ᠠᠭᠤᠯ ᠪᠠᠯ᠂ ᠴᠡᠭ C ᠦᠨ ᠬᠠᠷ ᠠᠭᠠᠯᠵ ᠠᠭᠰᠠᠨ ᠴᠡᠭ ᠦᠨ ᠢᠯ ᠡᠷᠬᠡᠢᠯ ᠡᠬᠦ ᠲᠣᠭ ᠠ ᠶᠢ ᠤᠯ᠃ 24. ( 10 ᠬᠤᠪᠢ ) ᠨᠢ ᠭᠡᠨ ᠲᠦ᠋ᠷᠢᠶᠡ ᠰᠦᠨ ᠮᠠᠰᠢᠨ ᠤ ᠵᠢᠯᠤ ᠭᠤᠴᠢ ᠬᠡᠷ ᠡᠴᠡ ᠪ ᠠᠨ ᠭᠠᠷᠴᠤ ᠡᠮᠦᠨᠡ ᠰᠢ ᠬᠤᠢᠰ ᠢ ᠴᠢᠭᠯᠡᠯ ᠲᠠᠢ ︽ᠨᠤᠮᠢᠨ ︾ ᠵᠠ ᠮ ᠳᠤ ᠵᠠᠯᠭ ᠠᠭ ᠠ ᠪᠠᠷ 5 ᠤᠳᠠ ᠭ ᠠ ᠵᠤᠴᠢᠨ ᠲᠤ ᠰᠴᠤ ᠬᠦᠷᠭᠡᠵ ᠡᠢ᠂ ᠶᠠᠪᠤᠭᠰᠠᠨ ᠵᠠᠮ ᠨᠢ ᠲᠤᠤᠷᠠ ᠬᠢ ᠬᠦᠰ ᠦᠨᠦᠭ ᠳᠤ ᠮᠡᠳᠤ (ᠡᠮ ᠦᠨ ᠡ ᠵᠦ᠋ᠭ ᠢ ︽+ ︾᠂ ᠬᠣᠢ ᠨ ᠠ ᠵᠦ᠋ᠭ ᠢ ︽ − ︾ᠪᠠᠷ ᠢᠯᠡᠷ ᠬᠡᠢᠯ ᠡᠨ ᠡ᠂ ᠨᠢᠬ ᠡᠴᠢ᠄ km ) (1) 5 ᠤᠳᠠ ᠭᠠᠨ ᠤ ᠵᠤᠴᠢᠳ ᠢᠶᠠᠨ ᠭᠦᠷᠭᠡᠵᠤ ᠪᠠᠷᠠᠬᠤ ᠳᠤ᠂ ᠲᠤᠰ ᠵᠢᠯᠤᠭᠤᠴ ᠢ ᠬᠡ ᠷ ᠡᠴᠡ ᠪ ᠠᠨ ᠠᠯᠢ ᠵᠦ᠋ᠭ ᠲᠤ ᠪᠠᠢᠬᠤ ᠪᠤᠢ ︖ ᠬᠡᠳ ᠦᠢ ᠵᠠ ᠢᠳᠠᠢ ᠪᠤᠢ ︖ 1 ᠳᠤᠭᠡᠷ ᠤᠳᠠ ᠭ ᠠ 5𝑘𝑚 2 ᠳ ᠤᠭᠠᠷ ᠤᠳᠠ ᠭ ᠠ 3𝑘𝑚 3 ᠳ ᠤᠭᠠᠷ ᠤᠳᠠ ᠭ ᠠ − 4𝑘𝑚 4 ᠳ ᠤᠭᠡᠷ ᠤᠳᠠ ᠭ ᠠ − 3𝑘𝑚 5 ᠳ ᠤᠭᠠᠷ ᠤᠳᠠ ᠭ ᠠ 10 𝑘𝑚 (2) ᠬᠡᠷ ᠪᠡ ᠲᠤᠰ ᠲᠡ ᠷᠭᠡ 0.2 𝐿/ 𝑘𝑚 ᠲᠤᠰᠤ ᠲᠦ᠋ᠯ ᠡᠳᠡᠭ ᠪᠤᠯ ᠲᠤᠰ 5 ᠤᠳᠠ ᠭᠠᠨ ᠤ ᠵᠤᠴᠢᠨ ᠲᠤᠰᠴ ᠤ ᠬᠦᠷᠭᠡᠬ ᠦ ᠳᠦ ᠨᠡᠢᠳᠡ ᠬᠡᠳᠦ ᠢ ᠯᠢ ᠲ᠋ᠷ ᠲᠤᠰ ᠤ ᠭᠡᠷ ᠡᠭᠯᠡᠭᠰ ᠡᠨ ᠪ ᠤᠢ ︖ (3) ᠲᠤᠷ ᠢᠶᠡᠰᠤ ᠨ ᠮᠠ ᠰᠢᠨ ᠤ ᠰ ᠦ᠋ᠢᠳᠬᠡ ᠯ ᠬᠤᠷᠢᠶᠠᠬ ᠤ ᠪ ᠠᠷᠢᠮᠵᠢᠶ ᠠ ᠨᠢ᠄ 3km ᠦ ᠨ ᠳᠣᠲᠤᠷ ᠠ 1 0 ᠲᠦ᠋ᠬᠦᠷ ᠢᠭ᠂ 3km ᠡ ᠴᠡ ᠬᠡᠲᠦ ᠷᠡᠪᠡᠯ᠂ ᠬᠡ ᠳᠦᠷᠡᠭᠰ ᠡᠨ ᠬᠡᠰᠡᠭ ᠢ km ᠪᠦᠷᠢ ᠡᠴᠡ 1.8 ᠲᠦ᠋ᠬᠦᠷ ᠢᠭ ᠬᠤᠷᠢᠶᠠᠨ ᠠ᠃ ᠲᠡ ᠭᠡᠪᠡᠯ ᠲᠤᠰ ᠤᠳᠠ ᠭᠠᠨ ᠤ 5 ᠵᠤᠴᠢᠨ ᠬᠦ ᠷᠬᠡᠵ ᠤ ᠲᠤ ᠰᠬᠤ ᠶᠠᠪ ᠤᠴᠠ ᠳᠤ ᠨᠡᠢᠳᠡ ᠬᠡ ᠳᠦᠢ ᠲᠦ᠋ᠬᠦᠷ ᠢᠭ ᠦ ᠨ ᠰ ᠦ᠋ᠢᠳᠬᠡᠯ ᠬᠤᠷᠢᠶᠠᠭ ᠰᠠᠨ ᠪᠤᠢ ︖ 25. ( 5 ᠬᠤᠪᠢ ) ᠳᠠ ᠷᠠᠠᠭ ᠠᠬᠢ ᠡᠯ ᠡ ᠲᠣᠭ ᠠ ᠶᠢ ᠬᠠᠷᠠᠭ ᠠᠯᠵᠠᠭᠰᠠᠨ ᠬᠠᠭ ᠠᠯᠲᠠ ᠳᠤ ᠲᠠᠭᠯ ᠠ᠃ 12 , − 3 , + 1 , 13 , − 1.5 , 0 , 0 .2 , 3 14 , − 4 35 ⋯ ᠡᠶᠡᠷᠬ ᠦ ᠲᠣᠭ ᠠᠨ ᠴᠤᠭ ᠯᠠᠷᠠᠯ { ⋯ } ᠰᠥᠭᠡᠷ ᠬᠦ ᠲᠣᠭ ᠠᠨ ᠴᠤᠭ ᠯᠠᠷᠠᠯ { ⋯ } ᠪᠥᠬᠥ ᠯᠢ ᠲᠣᠭ ᠠᠨ ᠴᠤᠭᠯ ᠠᠷᠠᠯ { ⋯ } ᠡᠶᠡᠷᠭᠦ ᠪᠤᠲᠠᠷ ᠬᠠᠢ ᠶ ᠢᠨ ᠴᠤᠭ ᠯᠠᠷᠠᠯ { ⋯ } ᠰᠥᠭᠡᠷ ᠬᠦ ᠪᠤᠲᠠᠷ ᠬᠠᠢ ᠶ ᠢᠨ ᠴᠤ ᠭᠯᠠᠷ ᠠᠯ { ⋯ } ᠪᠤᠲᠠᠷ ᠬᠠᠢ ᠶ ᠢᠨ ᠴᠤᠭᠯ ᠠᠷᠠᠯ { ⋯ } ᠯᠠᠪᠯᠠᠬᠤ ᠬᠠᠷᠢᠭ ᠤᠯᠲᠠ ᠨᠢᠭᠡ᠂ ᠰᠤ ᠩᠭᠤ ᠬᠤ ᠰ ᠡᠲᠤᠪ ᠃ ︵ ᠰᠡᠲ ᠤᠪ ᠪ ᠦᠷᠢ 3 ᠬᠤᠪᠢ᠂ ᠨᠠᠢᠲᠡ 30 ᠬᠤᠪᠢ ︶ 1. D 2 . A 3. C 4 . D 5. B 6 . D 7. A 8. C 9. D 10 . B ᠬᠣᠶ ᠠᠷ᠂ ᠬᠠᠭ ᠠᠯᠲᠠ ᠲᠠᠭ ᠯᠠᠬᠤ ᠰᠡᠲ ᠤᠪ᠃ ( ᠰ ᠡᠲᠤᠪ ᠪᠦᠷᠢ 3 ᠬᠤᠪᠢ᠂ ᠨᠠ ᠢᠲᠡ 24 ᠬᠤᠪᠢ ) 11 . − 5 ℃ 12 . 3 1 3. 5 1 4. 0 15 . 1 ᠪᠠ −5 1 6. 40 37 , 0 1 7. − 516 , 3 .2 , 3.2 1 8. ᠭᠤᠷᠪ ᠠ᠂ ᠪ ᠣᠳᠣᠵ ᠤ ᠬ ᠠᠷᠢᠭ ᠤᠯᠬᠤ ᠰᠡᠲ ᠤᠪ᠃ (ᠨᠠ ᠢᠲᠡ 66 ᠬᠤᠪ ᠢ) 19 . (1 ) 21 (2 ) − 44 (3 ) 0 (4 ) 6 ( 5) − 76 (6) − 31 20. 3 ᠪᠤᠶᠤ 13 2 1. (1) 𝑎 + 𝑏= 0 , 𝑐𝑑 = 1 , 𝑚 = ±2 (2 ) 3 ᠪᠤᠶᠤ −1 2 2. (1) − 45 (2 ) 325 (3 ) 825 2 3. (1) C: +2 , B: − 5 (2) − 10 (3 ) − 8 24. ( 1)ᠡᠮ ᠤᠨ ᠡ ᠵᠦ᠋ᠭ 11 𝑘𝑚 (2 ) 5 𝐿 (3) 6 8 ᠲᠥᠭ ᠥᠷᠢᠭ 25 . ᠡᠶᠡᠷᠬ ᠦ ᠲᠣᠭ ᠠᠨ ᠴᠤᠭᠯ ᠠᠷᠠᠯ { 12 ,+ 1, 13 , 0.2 ,3 14 , ⋯ } ᠰᠥᠭᠡᠷ ᠬᠦ ᠲᠣᠭ ᠠᠨ ᠴᠤᠭ ᠯᠠᠷᠠᠯ { − 3 ,− 1.5 ,− 4 35 ⋯ } ᠪᠥᠬᠥ ᠯᠢ ᠲᠣᠭ ᠠᠨ ᠴᠤᠭᠯ ᠠᠷᠠᠯ { 12 ,− 3 , +1 ,0 ⋯ } ᠡᠶᠡᠷᠭᠦ ᠪᠤᠲᠠᠷ ᠬᠠᠢ ᠶ ᠢᠨ ᠴᠤᠭ ᠯᠠᠷᠠᠯ { 13 , 0.2 ,3 14 , ⋯ } ᠰᠥᠭᠡᠷ ᠬᠦ ᠪᠤᠲᠠᠷ ᠬᠠᠢ ᠶ ᠢᠨ ᠴᠤ ᠭᠯᠠᠷ ᠠᠯ { −1 .5 ,− 4 35 ⋯ } ᠪᠤᠲᠠᠷ ᠬᠠᠢ ᠶ ᠢᠨ ᠴᠤᠭᠯ ᠠᠷᠠᠯ { 13 ,− 1.5 ,0 .2 ,3 14 , −4 35 ⋯ }