ᠨᠢᠭᠡᠳᠤᠭᠡᠷ ᠪᠥᠯᠥᠭ ᠶᠤᠰᠤᠲᠠᠢ ᠲᠤᠭ᠎ᠠ （ᠨᠢᠭᠡᠴᠢ ᠶᠢᠨ ᠪᠠᠢᠴᠠᠭᠠᠯᠲᠠ 2） .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 ᠃ ( ᠰᠡᠲᠤᠪ ᠪᠦᠷᠢ 3 ᠬᠤᠪᠢ᠂ ᠨᠠ ᠢᠲᠡ 30 ᠬᠤᠪ ᠢ) 1. − 12021 ᠵᠢᠨ ᠡᠰᠡᠷ ᠭᠦ ᠲᠣᠭ ᠠ ᠨᠢ᠄ ( ) A. 2021 B. −2021 C . 12021 D. − 12021 2. ᠶᠣᠰᠤ ᠲᠠᠢ ᠲᠣᠭ ᠠ |− 1| , ( −1 ) 2020 , −( −1 ) , ( −1 ) 2021 , −| −1 | ᠳᠦ᠂ ᠰᠦ᠋ ᠬᠡᠷᠭᠦ ᠶᠤᠰᠤ ᠳᠠᠢ ᠲᠤᠭ ᠠᠨ ᠤ ᠪᠤᠳ ᠠᠭᠠᠯᠢ ᠶᠢᠨ ᠲᠣᠭ ᠠ ᠨᠢ᠄ ( ) A. 0 B. 1 C. 2 D . 3 3. ᠲᠣᠭ ᠠ 16 10 00 ᠵᠢ ᠰ ᠢᠨᠵᠢ ᠯᠡᠬᠦ ᠤᠬᠠᠭᠠ ᠨᠴᠢ ᠲᠣᠭ ᠠ ᠲᠡᠮᠳᠡ ᠭᠯᠡᠬᠦ ᠠ ᠷᠭ ᠠ ᠪᠠᠷ ᠵᠦ᠋ᠪ ᠢᠯᠡᠷ ᠬᠡᠢᠯ ᠡᠭᠰᠡᠨ ᠨᠢ᠄ ( ) A. 0.161 × 10 6 B. 1.61 × 10 5 C. 16.1 × 10 4 D. 161 × 10 3 4. ᠬᠠᠷᠢᠴᠠᠯ ᠠᠰᠢᠬᠦ ᠢ ᠬᠡ ᠮᠵᠢᠭ ᠳᠡᠯ ᠨᠢ 1 ᠪᠤᠯ ᠬᠤ ᠶᠤ ᠰᠤᠳᠠᠢ ᠲᠣᠭ ᠠ ᠨᠡ ᠢᠳᠡ ( ) ᠪ ᠠᠢᠨ ᠠ᠃ A. 0 B. 1 C. 2 D. 4 5. ᠬᠠᠷᠢᠴᠠᠯ ᠠᠰᠢᠭᠦᠢ ᠬᠡᠮᠵᠢᠭᠳᠡᠯ ᠨᠢ 1 ᠡᠴᠡ ᠶᠡᠬᠡ ᠮᠥᠷᠲᠡ ᠭᠡᠨ 4 ᠡᠴᠡ ᠪᠠᠭ ᠠ ᠪᠤᠢ ᠪᠥᠬᠦ ᠢ ᠪᠥ ᠬᠥᠯᠢ ᠲᠣᠭ ᠠᠨ ᠤ ᠨᠠᠢᠯᠡᠪᠤᠷᠢ ᠨᠢ ( ) A. 6 B. − 6 C. 0 D . 4 6. ᠦᠭ ᠬᠦᠭᠳᠡᠭ ᠰᠡᠨ ᠨᠢ᠄ 𝑎= −2 + (− 10 ), b= −2 − (− 10 ) , 𝑐= −2 × (− 110 ) ᠲᠤᠤᠷᠠ ᠬᠢ ᠮᠠ ᠭᠠᠳᠯ ᠠᠯᠳᠠ ᠳᠤ ᠵᠦ᠋ ᠪ ᠨᠢ ᠄ ( ) A. 𝑎 b c B. b c 𝑎 C. c b 𝑎 D. 𝑎 c b 7. ᠬᠡᠷᠪᠡ 𝑎+ b 0 ᠪ ᠤᠯ ( ) A. 𝑎 0 , b 0 C. 𝑎 0 D. 𝑎 0 , b b −𝑎 C. −𝑎 |𝑎| b D . |𝑎 | |− 1| |b| 10. ᠳᠠ ᠷᠠᠭᠠᠬ ᠢ ᠡᠯ ᠡ ᠪᠥ ᠯᠥᠭ ᠲᠣᠭ ᠠ ᠨᠤᠭᠤᠳ ᠠᠴᠠ ᠳᠦ᠋ᠩ ᠨᠢ ᠲᠡ ᠩᠴᠡᠬᠦ ᠦ ᠪᠣ ᠯᠬᠤ ᠨᠢ ︵ ︶ A. − 1 2 ᠪ ᠣᠯᠣᠨ ( －1) 2 B. 23 2 ᠪᠣᠯᠤ ᠨ ( 23 ) 2 C. －| －2| ᠪᠣᠯ ᠣᠨ －( －2) D . ( －3) 3 ᠪᠣᠯᠣᠨ －3 3 ᠬᠣᠶ ᠠᠷ᠂ ᠬᠠᠭ ᠠᠯᠲᠠ ᠳᠤ ᠲᠠᠭ ᠯᠠᠬᠤ ᠰᠡᠲ ᠤᠪ᠃ ︵ᠰᠡᠲᠤᠪ ᠪᠦᠷᠢ 3 ᠬᠤᠪᠢ᠂ ᠨᠠ ᠢᠲᠡ 24 ᠬᠤᠪᠢ ︶ 11. ᠤᠶ ᠤᠨ ᠤ ᠤᠷᠤ ᠯᠳᠤᠭᠠ ᠨ ᠤ ᠪᠤᠯᠢ ᠶᠠᠯᠳ ᠤᠨ ᠬᠠᠷ ᠢᠭᠤᠯ ᠬᠤ ᠰ ᠡᠳᠦᠪ ᠬᠢᠬᠦ ᠳᠦ ᠬᠡᠷᠪᠡ ≪ +10 ≫ ᠪᠠᠷ 10 ᠬᠤᠪᠢ ᠤᠯ ᠤᠭᠰ ᠠᠨ ᠢ ᠢᠯ ᠡᠷᠬᠡᠢᠯ ᠡᠪᠡᠯ᠂ 20 ᠬᠤᠪᠢ ᠬᠠᠰᠤ ᠭᠰᠠᠨ ᠢ _ __ __ __ _ᠢ ᠯᠡᠷᠬᠡᠢᠯ ᠡᠨ ᠡ᠃ 12. ᠬᠡᠷ ᠪᠡ 𝑥∗ 𝑦= 2𝑥 + 𝑦 ᠭᠡ ᠵᠤ ᠲᠣ ᠭᠲᠠᠭ ᠠᠭᠰᠠᠨ ᠪᠣᠯ᠂ ᠵᠢᠱᠢᠶ ᠡᠯᠡᠪᠡ ᠯ 1 ∗2 = 4 ᠂ 2∗ 3= 7᠂ ᠲᠡᠭᠡᠪ ᠡᠯ ( −2 )∗ 5= 13. ᠬᠡᠷ ᠪᠡ | 𝑎| = 3 , 𝑏 = −2 , 𝑎 b 0 ᠪᠤᠯ ᠂ 𝑎 + b= __ __ 14. ᠨᠠᠷ ᠠᠨ ᠤ ᠷᠠᠳᠢᠤᠰ ᠨᠢ 6 96 00 0 ᠺᠢ ᠯᠣᠮᠧᠲᠷ ᠂ ᠰᠢᠨᠵ ᠢᠯᠡᠬᠦ ᠤᠬᠠᠭᠠ ᠨᠴᠢ ᠲᠣᠭ ᠠ ᠳᠡ ᠮᠳᠡᠭᠯᠡᠬ ᠦ ᠠᠷᠭ ᠠ ᠪᠠᠷ ᠳᠡ ᠮᠳᠡᠭᠯᠡᠪᠡᠯ _ __ __ __ _ ᠺᠢᠯᠣᠮ ᠧᠲᠷ ᠂ ᠬᠡᠷᠪᠡ 21 04 00 ᠶᠢ ᠲᠥᠮᠡ ᠶᠢᠨ ᠣ ᠷᠣᠨ ᠪᠣᠯᠲᠠᠯ ᠠ ᠨᠠ ᠷᠢᠪᠴᠢ ᠯᠠᠪᠠᠯ _ __ __ __ _ 15. ᠥᠭ ᠭᠥᠭᠳᠡ ᠭᠰᠡᠨ ᠨᠢ (𝑎 －3) 2 ᠪᠣᠯᠣᠨ |𝑏 －1| ᠨᠢ ᠬᠠᠷ ᠢᠯᠴᠠᠨ ᠡᠰᠡᠷ ᠬᠦ ᠲᠣᠭ ᠠ᠂ ᠲᠡᠭᠡᠪ ᠡᠯ ᠢ ᠯᠡᠷᠭᠡᠢᠯ ᠡᠯ 𝑎 2+ 𝑏 2 ᠶᠢᠨ ᠬᠡᠮᠵᠢᠭ ᠳᠡᠯ ᠨᠢ_ __ __ __ _ 16. ᠲᠤᠭ ᠠᠨ ᠤ ᠲᠡᠨᠭᠬᠡ ᠯᠢᠭ ᠳᠡᠭᠡᠷ ᠡ ᠡᠬ ᠢᠨ ᠦ ᠴᠡᠭ ᠬᠦ ᠷᠬᠦ ᠵᠠᠢ ᠨᠢ 2 12 ᠪᠤᠯᠬ ᠤ ᠴᠡ ᠭ ᠦᠨ ᠬᠤᠭᠤᠷ ᠤᠨᠳᠤ ᠪᠦᠬᠦᠯᠢ ᠲᠣᠭ ᠠ ᠶᠢ ᠢᠯᠡᠷ ᠬᠡᠢᠯ ᠡᠬᠦ ᠴᠡ ᠭ ᠨᠡ ᠢᠳᠡ __ __ ᠪᠠᠢᠨ ᠠ᠃ 17. ᠳᠠ ᠷᠠᠭᠠᠬ ᠢ ᠬᠡ ᠯᠡᠯᠭᠡ ᠶᠢᠨ ᠵᠥ ᠪ ᠪᠣᠯᠬᠤ ᠨᠢ᠄ ① ᠬᠠᠮ ᠤᠭ ᠤᠨ ᠶᠡᠬᠡ ᠰᠥᠭᠡᠷ ᠬᠦ ᠪᠥ ᠬᠥᠯᠢ ᠲᠣᠭ ᠠ ᠨᠢ −1 ② ᠲᠣᠭ ᠠᠨ ᠤ ᠲᠡᠩᠭᠡᠯ ᠢᠭ ᠳᠡ ᠭᠡᠷ ᠡ 2 ᠪ ᠠ − 2 ᠢ ᠢᠯᠡᠷ ᠬᠡᠢᠯ ᠡᠭᠰᠡᠨ ᠴᠡᠭ ᠡᠴᠡ ᠡᠬᠢᠨ ᠦ ᠴᠡ ᠭ ᠬᠦᠷᠬᠦ ᠵᠠᠢ ᠨᠢ ᠲᠡᠩ ᠴᠡᠬᠦ ᠦ᠃ ③ ᠡᠶᠡᠷᠬ ᠦ ᠶᠤᠰᠤ ᠲᠠᠢ ᠲᠣᠭ ᠠ ᠪᠠ ᠰᠥᠭᠡᠷ ᠭᠦ ᠶᠤᠰ ᠤᠲᠠᠢ ᠲᠣᠭ ᠠ ᠶᠢ ᠬᠠᠮᠳᠤᠷᠠ ᠭᠤᠯᠤᠭᠠ ᠳ ᠶᠤᠰᠤ ᠲᠠᠢ ᠲᠣᠭ ᠠ ᠭᠡ ᠨ ᠡ᠃ ④ 𝑎 + 5 ᠶᠢᠨ ᠬᠡᠮᠵᠢᠭ ᠳᠡᠯ ᠨᠢ ᠯᠠᠪᠲᠠ ᠢ 𝑎 ᠠᠴᠠ ᠶᠡᠬᠡ ⑤ 7 ᠪᠣᠯᠣᠨ 9 ᠶᠢᠨ ᠬᠣᠭᠣᠷ ᠣᠨᠳᠤ ᠶᠤᠰᠤ ᠲᠠᠢ ᠲᠣᠭ ᠠ ᠪᠣᠯ 8 ᠪ ᠣᠯᠣᠨ ᠠ᠃ （ ） ︵ ᠳᠤ ᠭᠠᠷ ᠢ ᠨᠢ ᠲᠠ ᠭᠯᠠ ︶ 18. 1000 ᠲᠣᠭ ᠠ ᠵᠢ ᠨᠢᠬᠡ ᠮᠦ᠋ᠷ ᠪᠤᠯ ᠭᠠᠨ ᠵᠢᠭᠰᠠᠭ ᠠᠵᠡᠢ᠂ ᠡᠭᠦᠨ ᠳᠦ ᠳᠤᠷ ᠠ ᠶᠢᠨ ᠲᠠᠷ ᠠᠭᠠᠯᠠᠭᠰᠠᠨ ᠭᠤᠷᠪ ᠠᠨ ᠲᠤᠭ ᠠᠨ ᠤ ᠲᠤᠮᠳ ᠠᠬᠢ ᠲᠣᠭ ᠠ ᠨᠢ ᠬᠤᠶ ᠠᠷ ᠲᠠ ᠯ ᠠ ᠶᠢᠨ ᠬᠤᠶ ᠠᠷ ᠲᠤᠭ ᠠᠨ ᠤ ᠨᠡᠢᠯ ᠡᠪᠦᠷᠢ ᠲᠠ ᠢ ᠲᠡ ᠨᠭᠴᠡᠭᠦᠦ᠂ ᠬᠡᠷᠪᠡ ᠨᠢᠬ ᠡ᠂ ᠬᠤᠶ ᠠᠳᠤᠭ ᠠᠷ ᠲᠣᠭ ᠠ ᠨᠢ ᠴᠦ᠋ᠮ 1 ᠪᠤᠯ᠂ ᠡᠳᠡ ᠭᠡᠷ 10 00 ᠲᠤᠭ ᠠᠨ ᠤ ᠨᠡᠢᠯᠡᠪᠦᠷ ᠢ ᠨᠢ᠄ ( ) ᠭᠤᠷᠪ ᠠ᠂ ᠪ ᠣᠳᠣᠵ ᠤ ᠬ ᠠᠷᠢᠭ ᠤᠯᠬᠤ ᠰᠡᠲ ᠤᠪ᠃ (ᠨᠠ ᠢᠲᠡ 66 ᠬᠤᠪᠢ ) 19. ᠪᠣᠳᠣ ᠃ ︵ 16 ᠬᠤᠪᠢ ︶ (1) (− 48 )× 0.125 + 48 × 18 + (− 48 )× 54 (2) (− 3 14 ) + 2 25 + (− 5 34 ) + 8 35 (3) [4 23 × (− 514 ) + (− 0.4 )÷ (− 425 ) ]× 1 15 (4) (− 3) 2+ 15 × ( 13 − 25 ) + (− 2) 3 20. ᠲᠤᠤᠷᠠ ᠬᠢ ᠶᠤ ᠰᠤᠳᠠᠢ ᠲᠣᠭ ᠠ ᠨᠤᠭᠤᠳ ᠢ ᠵᠤᠬᠢᠰᠳᠠᠢ ᠬᠠᠭ ᠠᠯᠳᠠ ᠳ ᠤ ᠲᠠ ᠭᠯᠠ᠄ ( 8 ᠬᠤᠪᠢ ) −8 , 0 .275 , 227 , 0 , − 1.04 , −( −3 ) , − 13 , |− 2| ᠡᠶᠡᠷᠭᠦ ᠲᠤᠭ ᠠᠨ ᠤ ᠴᠤᠭᠯ ᠠᠷᠠᠯ᠄ { } ᠰᠦ᠋ᠬ ᠡᠷᠬᠦ ᠪᠦᠬᠦᠯᠢ ᠲᠤᠭ ᠠᠨ ᠤ ᠴᠤᠭᠯ ᠠᠷᠠᠯ᠄ { } ᠪᠤᠳᠠᠷ ᠬᠠᠢ ᠲᠣᠭ ᠠᠨ ᠤ ᠴᠤᠭᠯ ᠠᠷᠠᠯ᠄ { } ᠰᠦ᠋ᠬ ᠡᠷᠬᠦ ᠲᠤᠭ ᠠᠨ ᠤ ᠴᠤᠭᠯ ᠠᠷᠠᠯ᠄ { } 21. ( 8 ᠬᠤᠪᠢ ) ᠬᠡ ᠷᠪᠡ 𝑎 , 𝑏 ᠬᠠᠷ ᠢᠯᠴᠠᠨ ᠡᠰᠡᠷ ᠭᠦ ᠲᠣᠭ ᠠ᠂ 𝑐 , 𝑑 ᠬᠠᠷᠢᠯ ᠴᠠᠨ ᠲᠤᠨᠭᠭ ᠤᠷᠤᠤ ᠲᠣᠭ ᠠ᠂ |𝑚 |= 2 ᠪᠣᠯᠤ ᠨ ᠠ᠃ 2𝑚 − (𝑎 + 𝑏− 1) + 3𝑐𝑑 ᠦᠨ ᠬᠡ ᠮᠵᠢᠭ ᠳᠡᠯ ᠢ ᠤᠯ ︕ 22. ( 8 ᠬ ᠤᠪᠢ ) ᠪ ᠢᠴᠢᠬ ᠠᠨ ᠬᠤᠷᠤ ᠬᠠᠢ ᠮᠤᠳᠤᠨ ᠰᠢᠳᠠ ᠮ ᠲᠠ ᠭᠠᠵᠤ ᠵᠡᠬᠦᠨᠰᠢ ᠪᠠᠷᠠᠭ ᠤᠨᠰᠢ ᠴᠢᠭᠯᠡᠯ ᠶᠠᠪᠤᠵ ᠡᠢ᠂ ᠴᠡᠭ A ᠡᠴᠡ ᠭᠠᠷ ᠴᠤ ᠮᠤᠳᠤᠨ ᠰᠢᠳᠠ ᠮ ᠲᠠ ᠭᠠᠵᠤ ᠨᠡᠢᠳᠡ 7 ᠤᠳᠠ ᠭ ᠠ ᠶᠠᠪᠤᠵ ᠡᠢ᠂ ᠬᠡᠷᠪᠡ ᠵᠡᠬᠦ ᠨᠰᠢ ᠶᠠᠪᠤᠭᠰᠠᠨ ᠢ ᠡᠶᠡᠷ ᠭᠦ ᠬᠡ ᠵᠤ᠂ ᠪᠠᠷᠠᠭ ᠤᠨᠰᠢ ᠶᠠᠪᠤᠭᠰᠠᠨ ᠢ ᠰᠦ᠋ ᠬᠡᠷᠬᠦ ᠬᠡᠪᠠ ᠯ ᠂ ᠦᠨᠭᠬᠡᠷ ᠡᠯᠳᠡ ᠨᠢ ᠲᠤᠤᠷᠠ ᠬᠢ ᠮᠡ ᠳᠤ ︵ ᠨᠢᠬᠡᠴᠢ ᠨᠢ᠄ cm ︶: + 5 , − 3 , + 11 , − 8 , + 12 , − 6 , −10 (1) ᠪᠢᠴᠢᠬ ᠠᠨ ᠬᠤᠷᠤ ᠬᠠᠢ ᠬᠠᠮᠤᠭ ᠰᠡᠭᠦᠯ ᠳᠦ ᠴᠡᠭ 𝐴 ᠤᠨ ᠠᠯᠢ ᠴᠢᠭᠯᠡᠯ ᠳᠦ ᠪᠠᠢᠬ ᠤ ᠪᠤᠢ ︖ (2) ᠪᠢᠴᠢᠬ ᠠᠨ ᠬᠤᠷᠤ ᠬᠠᠢ ᠨᠡ ᠢᠳᠡ ᠬᠡᠳ ᠦᠢ cm ᠶᠠᠪᠤᠭᠰ ᠠᠨ ᠪ ᠤᠢ ︖ 23. ( 8 ᠬᠤᠪᠢ ) ᠶᠤᠰ ᠤᠳᠠᠢ ᠲ ᠣᠭ ᠠ 𝑎 , b , c ᠨᠢ ᠵᠢᠷ ᠤᠭ ᠲᠤ ᠦ ᠵᠡᠬᠦᠯ ᠦᠭᠰᠡᠨ ᠮᠡᠳᠤ ᠃ ᠬᠢᠯᠪᠠ ᠷᠴᠢᠯ ᠠ᠄ |𝑏 − 𝑎| − |𝑐 − 𝑏| + |𝑎 + 𝑏| 24. ( 8 ᠬᠤᠪᠢ ) ᠲᠤᠤᠷᠠ ᠬᠢ ᠭᠤᠷᠪ ᠠᠨ ᠪᠦᠯᠦ ᠭ ᠲᠣᠭ ᠠ ᠶᠢ ᠲᠤᠰ ᠲᠤᠰ ᠠ ᠵᠢᠭᠯ ᠠᠵᠤ ᠂ᠵᠢᠮ ᠡ ᠶᠤᠰᠤ ᠶᠢ ᠨᠢ ᠡᠷᠢ ᠵᠤ ᠬᠤ ᠭᠤᠰᠤ ᠨ ᠳ ᠤ ᠲᠠ ᠭᠯᠠ ︕ −1 , 2 , − 3 , 4 , −5 , _ ___ _ , ___ ___ , ⋯ 1 , 4 , 9 , 16 , 25 , ___ __ , __ ___ _ , ⋯ 0 , 3 , 8 , 15 , 24 , ___ _ , ___ ___ , ⋯ (1) ᠨᠢᠬᠡᠳᠦᠬᠡᠷ ᠮᠦ᠋ ᠷ ᠲᠣᠭ ᠠ ᠨᠢ ᠶ ᠠᠮᠠᠷ ᠵᠢᠮ ᠡ ᠶᠤᠰᠤ ᠪ ᠠᠷ ᠵᠢᠭᠰᠠᠭ ᠠᠭᠳᠠ ᠭᠰᠠᠨ ᠪᠤᠢ ︖ (2) ᠬᠤᠶ ᠠᠷ᠂ ᠭᠤᠷᠪ ᠠᠳᠤᠭ ᠠᠷ ᠮᠦ᠋ᠷ ᠨᠢ ᠨᠢᠬ ᠡᠳᠦᠬᠡᠷ ᠮᠦ᠋ᠷ ᠲᠠ ᠢ ᠶᠠᠮᠠ ᠷ ᠬᠤ ᠯᠪᠤᠭᠳᠠᠯ ᠲᠠᠢ ᠪᠤᠢ ︖ (3) ᠮᠦ᠋ᠷ ᠪᠦᠷᠢ ᠶᠢ ᠨ 1 0 ᠳ ᠤᠭᠠᠷ ᠲᠣᠭ ᠠ ᠶᠢ ᠤᠯ ᠵᠤ᠂ ᠡᠨᠡ ᠭᠤᠷᠪ ᠠᠨ ᠪ ᠦᠯᠦᠭ ᠲᠤᠭ ᠠᠨ ᠤ 10 ᠳᠤᠭᠠ ᠷ ᠲᠤᠭ ᠠᠨ ᠤ ᠨᠡᠢᠯᠡᠪᠦᠷ ᠢ ᠶᠢ ᠤᠯ ︕ 25. ( 10 ᠬᠤᠪᠢ ) ᠵᠢᠷ ᠤᠭ ᠮᠡᠳᠤ ᠂ ᠲᠤᠭ ᠠᠨ ᠤ ᠲᠡᠨᠭᠬᠡ ᠯᠢᠭ ᠳᠡᠭᠡᠷ ᠡ A , B , C ᠭᠤᠷᠪ ᠠᠨ ᠴᠡᠭ ᠨᠢ ᠲᠤᠰ ᠲᠤᠰ −26 , −10 , 10 ᠭᠤᠷᠪ ᠠᠨ ᠶᠤ ᠰᠤᠳᠠᠢ ᠲᠣᠭ ᠠ ᠶᠢ ᠢᠯᠡᠷ ᠬᠡᠢᠯ ᠡᠨ ᠡ᠂ ᠬᠦᠳᠡ ᠯᠬᠦ ᠴᠡᠭ P ᠨᠢ ᠴᠡᠭ A ᠡᠴᠡ ᠭᠠᠷᠴᠤ ᠰᠧᠺᠦ ᠨᠲ ᠪᠦᠷᠢ 1ᠨᠢ ᠬᠡᠴᠢ ᠵᠢᠨ ᠬᠤ ᠷᠳᠤᠴᠠ ᠪᠠᠷ ᠴᠡᠭ C ᠲᠠᠢᠰᠢ ᠬᠦᠳᠡᠯᠭᠡᠭᠡᠨ ᠬᠢᠨ ᠡ᠂ ᠴᠡᠭ P ᠦ ᠨ ᠬᠦ ᠳᠡᠯᠬ ᠡᠬᠡᠨ ᠬᠢᠬᠦ ᠬᠤᠭᠤᠴᠠᠭ ᠠ ᠶᠢ t ᠰ ᠸᠺᠦ ᠨᠳ᠋ ᠬᠡᠪᠡᠯ᠂ (1) ᠬᠤᠭᠤᠴᠠᠭ ᠠ t ᠪᠠᠷ ᠴᠡᠭ P ᠡᠴᠡ ᠴᠡᠭ A ᠪᠠ ᠴᠡᠭ C ᠬᠦᠷᠬ ᠦ ᠵᠠᠢ ᠶ ᠢ ᠢ ᠯᠡᠷᠬᠡᠢᠯ ᠡ ︕ AP =_ __ __ __ __ __ _ , CP =_ __ __ __ __ __ __ (2) ᠴᠡᠭ p ᠬᠦᠳᠡ ᠯᠵᠤ ᠴᠡᠭ B ᠭᠦᠷᠬ ᠦ ᠦᠶ ᠡᠰ᠂ ᠴᠡᠭ Q ᠨᠢ ᠴᠡᠭ A ᠡᠴᠡ ᠭᠠᠷᠴᠤ ᠰᠸᠺᠦ ᠨᠳ᠋ ᠪ ᠦᠷᠢ 3 ᠨᠢ ᠭᠡᠴᠢ ᠶᠢ ᠨ ᠬᠤᠷᠳᠤᠴᠠ ᠪᠠᠷ ᠴᠡᠭ C ᠲᠡᠢᠰᠢ ᠬᠦᠳᠡᠯ ᠬᠡᠬᠡᠨ ᠬᠢᠨ ᠡ᠂ ᠴᠡᠭ Q ᠴᠡᠭ C ᠳᠦ ᠬᠦᠷᠦ ᠭᠰᠡᠨ ᠦ ᠳᠠᠷᠠᠭ ᠠ ᠠ ᠳᠠᠯᠢ ᠬᠤᠷᠳᠤ ᠴᠠ ᠪᠠᠷ ᠪᠤᠴᠠᠵ ᠤ ᠬᠦ ᠳᠡᠯᠬᠡᠬ ᠡᠨ ᠬᠢ ᠨ ᠡ᠂ ᠴᠡᠭ P ᠨᠢ ᠴᠡ ᠭ C ᠬᠦᠷᠬ ᠦ ᠦ ᠶᠡᠰ᠂ ᠴᠡᠭ P ᠪᠠ ᠴᠡ ᠭ Q ᠴᠦ᠋ᠮ ᠵᠣᠭ ᠰᠤᠨ ᠠ᠃ (1) ᠡᠨᠡ ᠦᠶ ᠡᠰ ᠦ ᠨ ᠴᠡ ᠭ P ᠪᠠ ᠴᠡᠭ Q ᠦᠨ ᠬᠤᠭᠤᠷ ᠤᠨᠳᠤᠬ ᠢ ᠵᠠ ᠢ ᠨᠢ ᠬᠡᠳᠦ ᠢ ᠪᠤᠢ ︖ (2) ᠬᠡᠳᠦ ᠢ ᠰᠸᠺᠦ ᠨᠳ᠋ ᠲᠤ ᠴᠡᠭ P ᠪᠠ ᠴᠡ ᠭ Q ᠨᠢ ᠠᠭᠤᠯᠵᠠᠬᠤ ᠪᠤᠢ ︖ ᠯᠠᠪᠯᠠᠬᠤ ᠬᠠᠷᠢᠭ ᠤᠯᠲᠠ ᠨᠢᠭᠡ᠂ ᠰᠤ ᠩᠭᠤ ᠬᠤ ᠰ ᠡᠲᠤᠪ ᠃ ( ᠰᠡᠲᠤᠪ ᠪᠦᠷᠢ 3 ᠬᠤᠪᠢ᠂ ᠨᠠ ᠢᠲᠡ 30 ᠬᠤᠪ ᠢ) 1. C 2. C 3 . B 4 . C 5 . C 6 . B 7. A 8. B 9. C 10 . D ᠬᠣᠶ ᠠᠷ᠂ ᠬᠠᠭ ᠠᠯᠲᠠ ᠳᠤ ᠲᠠᠭ ᠯᠠᠬᠤ ᠰᠡᠲ ᠤᠪ᠃ ︵ᠰᠡᠲᠤᠪ ᠪᠦᠷᠢ 3 ᠬᠤᠪᠢ᠂ ᠨᠠ ᠢᠲᠡ 24 ᠬᠤᠪᠢ ︶ 11 . − 20 12 . 1 13. − 5 1 4. 6.96 × 10 5 15. 10 16 . 5 1 7. ① ② ④ 18 . 0 ᠭᠤᠷᠪ ᠠ᠂ ᠪ ᠣᠳᠣᠵ ᠤ ᠬ ᠠᠷᠢᠭ ᠤᠯᠬᠤ ᠰᠡᠲ ᠤᠪ᠃ (ᠨᠠ ᠢᠲᠡ 66 ᠬᠤᠪᠢ ) 19. (1) − 60 (2) 2 (3 ) 1 (4) 0 20. ᠡ ᠶᠡᠷᠭᠦ ᠲᠤᠭᠠ ᠨ ᠤ ᠴᠤᠭ ᠯᠠᠷᠠᠯ ᠄ 0.275 , 227 , − (− 3) , |− 2| ᠰᠦ᠋ᠬ ᠡᠷᠬᠦ ᠪᠦᠬᠦᠯᠢ ᠲᠤᠭ ᠠᠨ ᠤ ᠴᠤ ᠭᠯᠠᠷ ᠠᠯ᠄ −8 ᠪᠤᠳᠠᠷ ᠬᠠᠢ ᠲᠣᠭ ᠠᠨ ᠤ ᠴᠤᠭᠯ ᠠᠷᠠᠯ᠄ 0 .275 , 227 , − 1.04 , − 13 ᠰᠦ᠋ᠬ ᠡᠷᠬᠦ ᠲᠤᠭ ᠠᠨ ᠤ ᠴᠤᠭᠯ ᠠᠷᠠᠯ᠄ − 8 , − 1.04 , − 13 21. 8 ᠪᠤᠶᠤ 0 2 2. (1) ᠴᠡ ᠭ 𝐴 ᠶᠢᠨ ᠪᠠᠷ ᠠᠭᠤᠨ ᠲᠠᠯ ᠠ ᠳ ᠤ ᠪᠠ ᠢᠨ ᠠ᠃ (2 ) 5 5cm 23 . 2 𝑎− 𝑏+ 𝑐 24 . ᠨᠢᠭᠡᠳᠤ ᠭᠡᠷ ᠮᠥᠷ ᠄ 6 , 7 ᠬᠣᠶ ᠠᠳᠤᠭ ᠠᠷ ᠮᠥᠷ᠄ 36 , 4 9 ᠭᠤᠷᠪ ᠠᠳᠤᠭ ᠠᠷ ᠮᠥᠷ᠄ 35 , 4 8 (1) (− 1) 𝑛× 𝑛 (2 ) 𝑛 2 , 𝑛 2 − 1 (3) 10 + 100 + 9= 209 25. ( 1) 𝐴𝑃 = 𝑡 ᠂ 𝑐𝑝 = 36 − 𝑡 (2 ) ① 2 4 ᠨᠢᠭᠡᠴ ᠢ ᠵᠠᠢ ᠲᠠᠢ ② 2 4 (s) ᠪᠤᠶ ᠤ 3 0( 𝑠) ᠤᠨ ᠳᠠᠷᠠᠭ ᠠ ᠠ ᠭᠤᠯᠵᠠᠨ ᠠ᠃