11 ᠬᠤᠶᠡᠷ ᠦᠯᠦ ᠮᠡᠳᠡᠭᠳᠡᠭᠴᠢᠲᠡᠢ ᠨᠢᠭᠡᠳᠤᠭᠡᠷ ᠵᠡᠷᠭᠡ ᠶᠢᠨ ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠤᠨ ᠪᠦᠯᠦᠭ .pdf

《 8.1 ᠬᠤᠶᠡ ᠷ ᠦᠯ ᠦ ᠮᠡ ᠳᠡᠭ ᠳᠡᠭᠴᠢ ᠲᠡᠢ ᠨᠢ ᠭᠡᠳ ᠤᠭᠡᠷ ᠵᠡᠷᠭᠡ ᠶ᠋ᠢ ᠨ ᠲᠡᠭ ᠰᠢᠳᠭᠡᠯ ᠤ ᠨ ᠪᠦ ᠯᠦᠭ 》 ᠣᠷ ᠤᠯᠳ ᠤᠯᠭ ᠠ ᠶ᠋ᠢ ᠨ ᠬᠠᠭ ᠤᠳᠠ ᠰᠦ ᠠᠩᠭᠢ ᠄ ᠨ ᠡᠷ ᠡ ᠄ ᠡᠳ ᠤᠷ ᠰᠠᠷ ᠠ ᠄ ᠰᠢᠨ ᠡ ᠳᠦ ᠷᠢ ᠨᠢᠭ ᠡ ᠄ ᠬᠤᠶᠡ ᠷ ᠦᠯ ᠦ ᠮ ᠡᠳᠡᠭ ᠳᠡᠭᠴ ᠢᠲᠡ ᠢ ᠨ ᠢᠭᠡᠳ ᠤᠭᠡᠷ ᠵᠡᠷᠭ ᠡ ᠶ᠋ᠢ ᠨ ᠲ ᠡᠭᠰ ᠢᠳᠭᠡᠯ᠂ ᠬᠤ ᠶᠡᠷ ᠦ ᠯᠦ ᠮᠡ ᠳᠡᠭᠳ ᠡᠭᠴᠢ ᠲᠡᠢ ᠨᠢᠭᠡ ᠳᠤᠭ ᠡᠷ ᠵᠡᠷᠭ ᠡ ᠶ᠋ᠢ ᠨ ᠲᠡᠭ ᠰᠢᠳ ᠭᠡᠯ ᠤ ᠨ ᠪᠦ ᠯᠦᠭ ᠢ ᠣᠢᠯᠭ ᠠᠶ ᠠ ᠃ 1.ᠲ ᠡᠭᠰ ᠢᠳᠭᠡᠯ ᠪᠦ ᠷᠢ( ) ᠦ ᠯᠦ ᠮᠡ ᠳᠡᠬ ᠦ ᠲᠣ ᠭ ᠠ ᠶ᠋ᠢ ᠠᠭᠤ ᠯᠬᠤ ᠪᠥᠭᠡ ᠳ ᠦ ᠯᠦ ᠮ ᠡᠳᠡ ᠬᠦ ᠲ ᠣᠭ ᠠ ᠠᠭᠤ ᠯᠤᠭ ᠰᠠᠨ ᠭᠡᠰ ᠢᠭᠦᠨ ᠤ ᠵ ᠡᠷᠭᠡ ᠶ᠋ᠢ ᠨ ᠲᠣᠭ ᠠ ᠨᠢ ᠴᠥᠮ ( ) ᠪᠣᠯᠬ ᠤ ᠢᠢ ᠮᠦᠷ ᠬᠦᠦ ᠲᠡᠭ ᠰᠢᠳ ᠭᠡᠯ ᠢ ᠬᠤᠶᠡ ᠷ ᠦᠯ ᠦ ᠮᠡ ᠳᠡᠭ ᠳᠡᠭᠴ ᠢᠲᠡ ᠢ ᠨ ᠢᠭᠡᠳ ᠤᠭᠡᠷ ᠵᠡᠷᠭ ᠡ ᠶ᠋ᠢ ᠨ ᠲ ᠡᠭᠰ ᠢᠳᠭᠡᠯ ᠭᠡᠨ ᠡ ᠃ 2.ᠠ ᠳᠠᠯ ᠢ ᠦᠯᠦ ᠮᠡᠳ ᠡᠬᠦ ᠲᠣᠭ ᠠ ᠲᠠᠢ ( ) ᠬᠤᠶᠡ ᠷ ᠦ ᠯᠦ ᠮᠡ ᠳᠡᠭ ᠳᠡᠭᠴ ᠢᠲᠡ ᠢ ᠨᠢ ᠭᠡᠳᠤ ᠭᠡᠷ ᠵᠡᠷ ᠭᠡ ᠶ᠋ᠢᠨ ᠲᠡᠭᠰᠢ ᠳᠭᠡᠯ ᠢ ᠨᠡᠢ ᠯᠡᠭᠦᠯᠪ ᠡᠯ ᠬ ᠤᠶᠡᠷ ᠦ ᠯᠦ ᠮᠡ ᠳᠡᠭᠳ ᠡᠭᠴᠢ ᠲᠡᠢ ᠨᠢᠭᠡᠳ ᠤᠭᠡᠷ ᠵᠡᠷ ᠭᠡ ᠶ᠋ ᠢᠨ ᠲᠡᠭ ᠰᠢᠳ ᠭᠡᠯ ᠤ ᠨ ᠪᠦᠯᠦᠭ ᠶ᠋ᠢ ᠪᠦᠷ ᠢᠯᠳ ᠦᠭᠦᠯᠦᠨ ᠡ ᠃ ᠰᠢᠨ ᠡ ᠳᠦ ᠷᠢ ᠶ᠋ᠢ ᠪᠠᠳ ᠤᠳᠬᠠᠬᠤ ᠪᠤᠯᠪ ᠡᠰᠤᠷ ᠡᠯ ᠨᠢ ᠭᠡ ᠄ 1.ᠲᠡᠭᠰ ᠢᠳᠭᠡᠯ ① 2x − 5= y; ② x − 4= 1; ③ xy = 2; ④ x + y= 3; ⑤5x + 2𝑦 = 1; ⑥ 𝑥 ∙𝑥 − 𝑦= 8 ᠦᠭᠭ ᠦᠭᠳ ᠡᠵᠡᠢ᠃ ᠲᠡᠭᠡᠷ ᠡᠬᠢ ᠲᠡᠭᠰ ᠢᠳᠭᠡᠯ ᠤ ᠳ ᠡᠴᠡ ᠬᠤᠶ ᠡᠷ ᠦᠯᠦ ᠮᠡᠳ ᠡᠭᠳ ᠡᠭᠴ ᠢᠲᠡ ᠢ ᠨᠢ ᠭᠡᠳᠤ ᠭᠡᠷ ᠵᠡᠷᠭᠡ ᠶ᠋ᠢ ᠨ ᠲᠡᠭᠰ ᠢᠳᠭᠡᠯ ᠪᠣᠯᠬ ᠤ ᠨ ᠢ( )᠃ 2.ᠳ ᠠᠷᠠᠭᠠᠬᠢ ᠲ ᠡᠭᠰ ᠢᠳᠭᠡ ᠯ ᠤ ᠨ ᠪᠦ ᠯᠦᠭ ᠲᠦ ᠂ ᠬᠤᠶᠡ ᠷ ᠦ ᠯᠦ ᠮᠡᠳ ᠡᠭᠳ ᠡᠭᠴ ᠢᠲᠡ ᠢ ᠨᠢ ᠭᠡᠳᠤ ᠭᠡᠷ ᠵᠡᠷ ᠭᠡ ᠶ᠋ᠢ ᠨ ᠲᠡᠭᠰᠢ ᠳᠭᠡᠯ ᠤ ᠨ ᠪᠦ ᠯᠦᠭ ᠨᠡ ᠢᠲᠡ( ) ᠪᠠᠢᠨ ᠠ ᠃ ①{ 𝑥 = 1− 𝑦, 𝑦+ 5= 𝑥; ②{ 𝑥 2+ 𝑦= 0, 𝑥− 𝑦= 3; ③{ 𝑥 − 𝑦= 1. 1𝑥 − 1𝑦 = 2; ④{ 2 𝑥− 3= 𝑦, 𝑦= 𝑥− 5; A. 1 B. 2 C. 3 D.4 ᠰᠢᠨ ᠡ ᠳᠦ ᠷᠢ ᠬᠤᠶ ᠡᠷ᠄ 1. ᠬᠤᠶ ᠡᠷ ᠦᠯ ᠦ ᠮᠡ ᠳᠡᠭ ᠳᠡᠭᠴ ᠢᠲᠡᠢ ᠨᠢ ᠭᠡᠳ ᠤᠭᠡᠷ ᠵᠡᠷᠭ ᠡ ᠶ᠋ᠢ ᠨ ᠲᠡᠭ ᠰᠢᠳ ᠭᠡᠯ ᠤ ᠨ ᠬᠤᠶ ᠡᠷ ᠲᠠᠯ ᠠ ᠶ᠋ᠢ ᠨ ᠬᠡᠮᠵ ᠢᠭᠳᠡ ᠯ ᠢ ( ) ᠬᠤ ᠶᠡᠷ ᠦᠯᠦ ᠮᠡ ᠳᠡᠬ ᠦ ᠲᠣᠭᠠᠨ ᠤ ᠬᠡ ᠮᠵᠢᠭᠳ ᠡᠯ ᠢ ᠬᠤ ᠶᠡᠷ ᠦᠯᠦ ᠮᠡᠳ ᠡᠭᠳ ᠡᠭᠴ ᠢᠲᠡ ᠢ ᠨᠢ ᠭᠡᠳᠤ ᠭᠡᠷ ᠵᠡᠷᠭᠡ ᠶ᠋ᠢ ᠨ ᠲᠡᠭᠰ ᠢᠳᠭᠡᠯ ᠤ ᠨ ᠬᠠᠷ ᠢᠭᠤ ᠭᠡᠨ ᠡ ᠃ 2.ᠬ ᠤᠶᠡ ᠷ ᠦᠯᠦ ᠮᠡ ᠳᠡᠭᠳ ᠡᠭᠴᠢ ᠲᠡᠢ ᠨᠢ ᠭᠡᠳ ᠤᠭᠡᠷ ᠵᠡᠷᠭ ᠡ ᠶ᠋ᠢ ᠨ ᠲᠡᠭ ᠰᠢᠳ ᠭᠡᠯ ᠤ ᠨ ᠪᠦ ᠯᠦᠭ ᠤ ᠨ ᠬᠤᠶ ᠡᠷ ᠲᠡᠭᠰᠢ ᠳᠭᠡᠯ ᠤ ᠨ( ) ᠶ᠋ ᠢ ᠬ ᠤᠶᠡᠷ ᠦᠯ ᠦ ᠮ ᠡᠳᠡᠭ ᠳᠡᠭᠴᠢ ᠲᠡᠢ ᠨᠢ ᠭᠡᠳ ᠤᠭᠡᠷ ᠵᠡᠷᠭᠡ ᠶ᠋ᠢ ᠨ ᠲᠡᠭ ᠰᠢᠳᠭᠡᠯ ᠤ ᠨ ᠪᠦᠯᠦᠭ ᠤ ᠨ ᠬᠠᠷ ᠢᠭᠤ ᠭᠡᠨ ᠡ ᠃ ᠰᠢᠨ ᠡ ᠳᠦ ᠷᠢ ᠶ᠋ᠢ ᠪᠠᠳ ᠤᠳᠬᠠᠬᠤ ᠪᠤᠯᠪ ᠡᠰᠤᠷ ᠡᠯ ᠬᠤᠶᠡ ᠷ᠄ 1.ᠬ ᠤᠶᠡᠷ ᠦᠯᠦ ᠮᠡ ᠳᠡᠭᠳ ᠡᠭᠴᠢ ᠲᠡᠢ ᠨᠢ ᠭᠡᠳ ᠤᠭᠡᠷ ᠵ ᠡᠷᠭ ᠡ ᠶ᠋ᠢ ᠨ ᠲᠡᠭ ᠰᠢᠳ ᠭᠡᠯ 3x + y= 10 ᠤ ᠨ ᠡᠶᠡᠷ ᠭᠦ ᠪ ᠦᠬᠦᠯ ᠢ ᠲᠣᠭᠠᠨ ᠬᠠᠷ ᠢᠭᠤ ᠨᠢ ( )᠃ 2.ᠲ ᠡᠭᠰ ᠢᠳᠭᠡᠯ ᠤ ᠨ ᠪᠦ ᠯᠦᠭ { 𝑥+ 3𝑦 = 4, 2𝑥 − 3𝑦 = −1 ᠶ᠋ᠢ ᠨ ᠬᠠᠷ ᠢᠭᠤ ᠨᠢ ( ) A. { 𝑥 = −1 𝑦= −1 B. { 𝑥 = 1, 𝑦= 1 C. { 𝑥 = −2 , 𝑦= 2 D. { 𝑥 = −2 , 𝑦= −1 ᠬᠠᠷᠠᠭᠠᠯ ᠵᠠᠭ ᠰᠠᠨ ᠪᠤᠯᠪ ᠡᠰᠤᠷ ᠡᠯ᠄ 1.ᠬᠡ ᠷᠪᠡ 𝟑𝒙 𝟑𝒎 −𝟐 − 𝟐𝒚 𝒏− 𝟒= 𝟏𝟐 ᠨᠢ ᠬᠤᠶ ᠡᠷ ᠦᠯᠦ ᠮᠡᠳ ᠡᠭᠳ ᠡᠭᠴᠢ ᠲᠡᠢ ᠨᠢ ᠭᠡᠳ ᠤᠭᠡᠷ ᠵᠡᠷᠭ ᠡ ᠶ᠋ᠢ ᠨ ᠲᠡᠭᠰᠢ ᠳᠭᠡᠯ ᠪᠣᠯ᠂ m ᠪᠠ n ᠤ ᠬᠡᠮ ᠵᠢᠭᠳᠡ ᠯ ᠨ ᠢ ᠲ ᠤᠰ ᠲᠤ ᠰ( ) A. 𝑚 = 0, 𝑛= 0 B. 𝑚 = 1, 𝑛= 4 C. 𝑚 = 1, 𝑛= 5 D. 𝑚 = 23 , 𝑛= 4 2.ᠬᠡ ᠷᠪᠡ (𝑎 − 2) 𝑥− (𝑏 + 1) 𝑦= 7 ᠨᠢ x,y ᠶ᠋ᠢ ᠨ ᠲᠤᠬ ᠠᠢ ᠬᠤᠶ ᠡᠷ ᠦᠯᠦ ᠮᠡ ᠳᠡᠭᠳ ᠡᠭᠴᠢ ᠲᠡᠢ ᠨᠢ ᠭᠡᠳ ᠤᠭᠡᠷ ᠵᠡᠷᠭ ᠡ ᠶ᠋ᠢ ᠨ ᠲᠡᠭᠰ ᠢᠳᠭᠡᠯ ᠪᠣᠯ ( ) A. a≠ 2 B. b≠ −1 C. a≠ 2ᠪᠤᠶᠤ b≠ −1 D. a≠ 2ᠪᠥ ᠭᠡᠳ b≠ −1 3. ᠬᠡᠷ ᠪᠡ ᠲᠡᠭᠰ ᠢᠳᠭᠡᠯ ᠤ ᠨ ᠪᠦ ᠯᠦᠭ { 𝑎 𝑥+ 𝑦= 0, 2𝑥 + 𝑏𝑦 = 6 ᠶ᠋ᠢᠨ ᠬᠠᠷ ᠢᠭᠤ ᠨᠢ { 𝑥 = 1, 𝑦= −2 ᠪᠣᠯ ᠂𝑎 2+ 𝑏 2 = ( )᠃ ᠲᠠᠰᠬᠠᠯ᠄ ᠪ ᠤᠯᠪᠡ ᠰᠤᠷ ᠠᠯ ᠤ ᠨ ᠥᠷ ᠦᠭᠡ