8.2.3 ᠨᠡᠮᠡᠵᠤ ᠬᠠᠰᠤᠬᠤ ᠠᠷᠭᠠ ᠪᠠᠷ ᠬᠤᠶᠠᠷ ᠥᠯᠥ ᠮᠡᠳᠡᠭᠳᠡᠭᠴᠢᠳᠡᠢ ᠨᠢᠭᠡᠳᠤᠭᠡᠷ ᠵᠡᠷᠭᠡ ᠶᠢᠨ ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠤᠨ ᠪᠥᠯᠥᠭ ᠢ ᠪᠣᠳᠣᠬᠤ
ᠠᠯᠪᠠᠨ ᠵᠢᠷᠤᠮ ᠤᠨ ᠰᠤᠷᠭᠠᠨ ᠬᠦᠮᠦᠵᠢᠯ ᠦᠨ ᠰᠤᠷᠬᠤ ᠪᠢᠴᠢᠭ,ᠳᠣᠯᠣᠳᠤᠭᠠᠷ ᠣᠨ( ᠳᠣᠣᠷᠠᠳᠤ),ᠬᠢᠴᠢᠶᠡᠯᠯᠡᠭᠴᠢ᠄ ᠬᠠᠰᠪᠤᠶᠠᠨᠲᠤ,8.2.2 ᠨᠡᠮᠡᠵᠤ ᠬᠠᠰᠤᠬᠤ ᠠᠷᠭᠠ ᠪᠠᠷ ᠬᠣᠶᠠᠷ ᠥᠯᠥ ᠮᠡᠳᠡᠭᠳᠡᠭᠴᠢᠳᠡᠢ ᠨᠢᠭᠡᠳᠤᠭᠡᠷ ᠵᠡᠷᠭᠡ ᠶᠢᠨ ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠦᠨ ᠪᠥᠯᠥᠭ ᠢ ᠪᠣᠳᠣᠬᠤ,1. ᠨᠡᠮᠡᠵᠥ ᠬᠠᠰᠤᠬᠤ ᠤᠰᠠᠳᠬᠠᠬᠤ ᠠᠷᠭᠠ ᠪᠠᠷ ᠬᠤᠶᠠᠷ ᠦᠯᠥ ᠮᠡᠳ᠋ᠡᠭ᠍ᠳ᠋ᠡᠭᠴᠢᠳ᠋ᠡᠢ ᠨᠢᠭᠡᠳᠤᠭᠡᠷ ᠵᠡᠷᠭᠡ ᠶᠢᠨ ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠦᠨ ᠪᠦᠯᠥᠭ᠌ ᠢ ᠪᠤᠳ᠋ᠤᠵᠥ ᠴᠢᠳ᠋ᠠᠨᠠ ᠃ 2. ᠬᠤᠶᠠᠷ ᠦᠯᠥ ᠮᠡᠳ᠋ᠡᠭ᠍ᠳ᠋ᠡᠭᠴᠢᠳ᠋ᠡᠢ ᠨᠢᠭᠡᠳᠤᠭᠡᠷ ᠵᠡᠷᠭᠡ ᠶᠢᠨ ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠤᠨ ᠪᠦᠯᠥᠭ᠌ ᠢ ᠪᠤᠳ᠋ᠤᠬᠤ ᠦᠨᠳ᠋ᠤᠰᠤᠨ ᠦᠵᠡᠯ ᠰᠠᠨ᠋ᠠᠭᠠ ᠵᠢ ᠤᠯᠠᠮ ᠨᠢᠭᠡ ᠠᠯᠬᠤᠮ ᠪᠡᠶᠡᠴᠢᠯᠡᠨ ᠤᠢᠯᠠᠭᠠᠨᠠ᠃,ᠥᠯᠥ ᠮᠡᠳᠡᠭᠳᠡᠭᠴᠢ ᠶᠢ ᠤᠰᠠᠳᠬᠠᠬᠤ,ᠰᠤᠷᠬᠤ ᠬᠠᠷᠠᠯᠲᠠ,ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠦᠨ ᠪᠥᠯᠥᠭ ᠢ ᠪᠣᠳᠣᠬᠤ ᠠᠷᠭᠠ,ᠬᠣᠶᠠᠷ ᠥᠯᠥ ᠮᠡᠳᠡᠭᠳᠡᠭᠴᠢᠳᠡᠢ ᠨᠢᠭᠡᠳᠦᠭᠡᠷ ᠵᠡᠷᠭᠡ ᠶᠢᠨ ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠦᠨ ᠪᠥᠯᠥᠭ,ᠨᠢᠭᠡ ᠥᠯᠥ ᠮᠡᠳᠡᠭᠳᠡᠭᠴᠢᠳᠡᠢ ᠨᠢᠭᠡᠳᠦᠭᠡᠷ ᠵᠡᠷᠭᠡ ᠶᠢᠨ ᠲᠡᠭᠰᠢᠳᠭᠡᠯ,,,ᠥᠯᠥ ᠮᠡᠳᠡᠭᠳᠡᠭᠴᠢ ᠶᠢ ᠤᠰᠠᠳᠬᠠᠬᠤ,ᠠᠰᠠᠭᠤᠳᠠᠯ 1,,+,,,−,,,ᠥᠯᠥ ᠮᠡᠳᠡᠭᠳᠡᠭᠴᠢ ᠶᠢ ᠤᠰᠠᠳᠬᠠᠬᠤ ᠠᠳᠠᠯᠢ ᠦᠰᠦᠭ ᠦᠨ ᠢᠯᠡᠳᠭᠡᠮᠵᠢ ᠬᠠᠷᠢᠯᠴᠠᠨ ᠡᠰᠡᠷᠬᠦ ᠪᠣᠯ ᠨᠡᠮᠡᠨᠡ᠃ ᠠᠳᠠᠯᠢ ᠦᠰᠦᠭ ᠦᠨ ᠢᠯᠡᠳᠭᠡᠮᠵᠢ ᠨᠢ ᠲᠡᠩᠴᠡᠬᠦᠦ ᠪᠣᠯ ᠬᠠᠰᠤᠨᠠ᠃,ᠪᠤᠳ᠋ᠤᠬᠤ ᠨᠢ ᠄,ᠨᠡᠮᠡᠵᠤ ᠬᠠᠰᠤᠬᠤ ᠠᠷᠭᠠ ᠪᠠᠷ ᠪᠣᠳᠣᠬᠤ ᠠᠯᠬᠤᠮ,3𝑥 =6,ᠨᠢᠬᠡ ᠦᠯᠦ ᠮᠡᠳ᠋ᠡᠭᠦ ᠲᠤᠭᠠ ᠵᠢ ᠨᠢ ᠤᠰᠠᠳᠬᠠᠬᠤ,ᠨᠡᠮᠡᠵᠤ ᠬᠠᠰᠤᠬᠤ ᠠᠷᠭᠠ,𝑥=2,ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠦᠨ ᠪᠥᠯᠥᠭ ᠦᠨ ᠬᠠᠷᠢᠭᠤ,ᠬᠠᠷᠠᠭᠠᠯᠵᠠᠭᠰᠠᠨ ᠪᠣᠯᠪᠠᠰᠤᠷᠠᠯ,1 3𝑥−𝑦=15 2𝑥+𝑦=5,(2) 3𝑢+2𝑡=7 6𝑢+2𝑡=13,1. ᠳᠣᠣᠷᠠᠬᠢ ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠦᠨ ᠪᠦᠯᠦᠭ ᠢ ᠨᠡᠮᠡᠵᠤ ᠬᠠᠰᠤᠬᠤ ᠠᠷᠭᠠ ᠪᠡᠷ ᠪᠤᠳᠤ᠄,1 3𝑥−2𝑦=2 𝑥+4𝑦=3,(2) 2𝑥−5𝑦=−3 −4𝑥−𝑦=−5,2. ᠳᠣᠣᠷᠠᠬᠢ ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠦᠨ ᠪᠦᠯᠦᠭ ᠢ ᠨᠡᠮᠡᠵᠤ ᠬᠠᠰᠤᠬᠤ ᠠᠷᠭᠠ ᠪᠡᠷ ᠪᠤᠳᠤ᠄,ᠠᠰᠠᠭᠤᠳᠠᠯ 2,② ᠨᠡᠮᠡᠵᠤ ᠬᠠᠰᠤᠬᠤ ᠠᠷᠭᠠ,ᠬᠤᠷᠢᠶᠠᠩᠭᠤᠢᠯᠠᠯ᠄,1.ᠦᠯᠦ ᠮᠡᠳᠡᠬᠦ ᠲᠣᠭᠠ ᠶᠢ ᠤᠰᠠᠳᠬᠠᠬᠤ᠄,① ᠣᠷᠤᠯᠠᠭᠤᠯᠬᠤ ᠠᠷᠭᠠ,,ᠢᠯᠡᠳᠭᠡᠮᠵᠢ ᠨᠢ ᠬᠠᠷᠢᠯᠴᠠᠨ ᠡᠰᠡᠷᠭᠦ,ᠢᠯᠡᠳᠭᠡᠮᠵᠢ ᠨᠢ ᠲᠡᠩᠴᠡᠭᠦᠦ,2. ᠪᠤᠳᠤᠬᠤ ᠠᠯᠬᠤᠮ᠄,① ᠢᠵᠢᠯᠢ ᠦᠰᠦᠭ ᠦᠨ ᠢᠯᠡᠳᠭᠡᠮᠵᠢ ᠶᠢ ᠬᠠᠷᠢᠯᠴᠠᠨ ᠲᠡᠩᠴᠡᠭᠦᠦ (ᠪᠤᠶᠤ ᠬᠠᠷᠢᠯᠴᠠᠨ ᠡᠰᠡᠷᠭᠦ) ᠪᠣᠯᠭᠠᠵᠤ ᠬᠤᠪᠢᠷᠠᠭᠠᠨᠠ᠃,② ᠨᠡᠮᠡᠵᠤ ᠬᠠᠰᠤᠬᠤ ᠠᠷᠭᠠ ᠪᠡᠷ ᠦᠯᠦ ᠮᠡᠳᠡᠭᠳᠡᠭᠴᠢ ᠶᠢ ᠤᠰᠠᠳᠬᠠᠨᠠ᠃,2 ᠰᠠᠭᠤᠷᠢ ᠶᠡᠬᠡ ᠬᠠᠳ᠋ᠤᠵᠤ ᠬᠤᠷᠢᠶᠠᠬᠤ ᠮᠠᠰᠢᠨ ᠪᠤᠯᠤᠨ 5 ᠰᠠᠭᠤᠷᠢ ᠪᠠᠭᠠ ᠬᠠᠳ᠋ᠤᠵᠤ ᠬᠤᠷᠢᠶᠠᠬᠤ ᠮᠠᠰᠢᠨ ᠬᠠᠮᠳ᠋ᠤ ᠪᠡᠷ 2ℎᠠᠵᠢᠯᠯᠠᠪᠠᠯ ᠨᠡᠢᠳ᠋ᠡ 3.6 ℎ𝑚2 ᠪᠤᠭᠤᠳ᠋ᠠᠢ ᠬᠠᠳ᠋ᠤᠵᠤ ᠬᠤᠷᠢᠶᠠᠨᠠ ᠂ 3 ᠰᠠᠭᠤᠷᠢ ᠶᠡᠬᠡ ᠬᠠᠳ᠋ᠤᠵᠤ ᠬᠤᠷᠢᠶᠠᠬᠤ ᠮᠠᠰᠢᠨ ᠪᠠ 2 ᠰᠠᠭᠤᠷᠢ ᠪᠠᠭᠠ ᠬᠠᠳ᠋ᠤᠵᠤ ᠬᠤᠷᠢᠶᠠᠬᠤ ᠮᠠᠰᠢᠨ ᠬᠠᠮᠳ᠋ᠤ ᠪᠡᠷ 5ℎ ᠠᠵᠢᠯᠯᠠᠪᠠᠯ ᠨᠡᠢᠳ᠋ᠡ 8 ℎ𝑚2 ᠪᠤᠭᠤᠳ᠋ᠠᠢ ᠬᠠᠳ᠋ᠤᠵᠤ ᠬᠤᠷᠢᠶᠠᠨᠠ ᠃ 1 ᠰᠠᠭᠤᠷᠢ ᠶᠡᠬᠡ ᠬᠠᠳ᠋ᠤᠵᠤ ᠬᠤᠷᠢᠶᠠᠬᠤ ᠮᠠᠰᠢᠨ ᠪᠠ 1 ᠰᠠᠭᠤᠷᠢ ᠪᠠᠭᠠ ᠬᠠᠳ᠋ᠤᠵᠤ ᠬᠤᠷᠢᠶᠠᠬᠤ ᠮᠠᠰᠢᠨ ᠨᠢ ᠴᠠᠭ ᠪᠦᠷᠢ ᠲᠤᠰ ᠲᠤᠰ ᠬᠡᠳ᠋ᠦᠢ ᠾᠸᠺᠲ᠋ᠠᠷ ᠪᠤᠭᠤᠳ᠋ᠠᠢ ᠬᠠᠳ᠋ᠤᠵᠤ ᠬᠤᠷᠢᠶᠠᠬᠤ ᠪᠤᠢ ︖,ᠠᠰᠠᠭᠤᠳᠠᠯ 3,2 2𝑥+5𝑦 =3.6 5 3𝑥+2𝑦 =8,ᠪᠤᠳ᠋ᠤᠬᠤ ᠨᠢ ᠄,1 ᠰᠠᠭᠤᠷᠢ ᠶᠡᠬᠡ ᠬᠠᠳ᠋ᠤᠵᠤ ᠬᠤᠷᠢᠶᠠᠬᠤ ᠮᠠᠰᠢᠨ ᠪᠠ 1ᠰᠠᠭᠤᠷᠢ ᠪᠠᠭᠠ ᠬᠠᠳ᠋ᠤᠵᠤ ᠬᠤᠷᠢᠶᠠᠬᠤ ᠮᠠᠰᠢᠨ ᠴᠠᠭ ᠪᠦᠷᠢ ᠲᠤᠰ ᠲᠤᠰ 𝑥 ℎ𝑚 2 ᠪᠠ 𝑦 ℎ𝑚 2 ᠪᠤᠭᠤᠳ᠋ᠠᠢ ᠬᠠᠳ᠋ᠤᠵᠤ ᠬᠤᠷᠢᠶᠠᠨᠠ ᠬᠡᠪᠡᠯ ᠄,ᠭᠢᠯᠪᠠᠷᠴᠢᠯᠠᠪᠠᠯ ᠄,4𝑥+10𝑦=3.6 15𝑥+10𝑦=8,ᠠᠰᠠᠭᠤᠳᠠᠯ 3,2 2𝑥+5𝑦 =3.6 5 3𝑥+2𝑦 =8,4𝑥+10𝑦=3.6 15𝑥+10𝑦=8,ᠭᠢᠯᠪᠠᠷᠴᠢᠯᠠᠪᠠᠯ ᠄,
ᠮᠣᠩᠭᠣᠯ ᠳ᠋ᠣᠺ ᠤᠨ ᠬᠥᠮᠥᠷᠭᠡ