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ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ︽ᠬᠡᠦᠬᠡᠳ ᠲᠤ ᠪᠢᠳᠡ ᠪᠥᠮᠪᠥᠷᠴᠡᠭ ᠢᠶᠠᠨ ᠥᠭᠭᠦᠶ᠎ᠡ︾ ᠳᠡᠯᠭᠡᠷᠡᠬᠦ ᠰᠡᠢᠷᠡᠭᠦᠯᠪᠡᠢ .pdf ﹇ ᠳᠡᠯᠭᠡᠷᠡᠩᠭᠦᠢ ﹈

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ 12 2 ᠭᠤᠷᠪ ᠡᠯᠵᠢ ᠨ᠊ ᠪᠦ ᠷᠢᠨ ᠲᠡᠩ ᠴᠡᠭᠦᠦ ᠪᠣᠯᠬᠤ ᠶᠢ ᠨ᠊ ᠮ᠊ ᠠᠭᠠᠳᠯᠠ ᠯᠲᠠ ᠨᠢᠭ ᠡ᠂ ᠡᠷ ᠭᠢᠴᠡ ᠭᠦᠯᠵ ᠦ ᠦᠵ ᠢ ᠡ᠄ ᠭᠤ ᠷᠪᠡ ᠯᠵᠢᠨ ᠪᠦ ᠷᠢᠨ ᠲᠡᠩᠴᠡ ᠭᠦᠦ ᠪᠣᠯᠬᠤ ᠶᠢ ᠨ᠊ ᠮᠠᠭᠠᠳᠯᠠᠯ ᠲᠠ︖ ︵︶ ︵︶ ᠬᠤᠶᠡ ᠷ᠊᠂ ᠰᠦ ᠪᠡᠭᠴᠢᠯᠡᠵᠦ ᠦᠵᠡ ᠶ᠊ ᠡ᠄ ᠬᠤᠶᠡ ᠷ᠊ ᠥ ᠨᠴᠦᠭ ᠨᠢ ᠭᠡ ᠲᠠᠯ ᠠ ︵︶ ︵︶ ︵1︶ ᠥᠨ ᠴᠦᠭ ᠲᠠᠯ ᠠ ᠥᠨ ᠴᠦᠭ ︵2︶ ᠥᠨ ᠴᠦᠭ ᠥ ᠨᠴᠦᠭ ᠲᠠᠯ ᠠ ᠤᠯᠬᠤ ᠨᠢ᠄ 1 2 ᠭᠤ ᠷᠪᠡ᠂ ᠤ ᠤᠯᠪᠡ ᠰᠤᠷ

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠬᠤᠶᠡ ᠷ ᠦ ᠯᠦ ᠮ ᠡᠳᠡᠭᠳ ᠡᠭᠴ ᠢᠲᠡᠢ ᠨᠢ ᠭᠡᠳᠤ ᠭᠡᠷ ᠵᠡᠷᠭ ᠡ ᠶ᠋ᠢ ᠨ ᠲ ᠡᠭᠰ ᠢᠳᠭᠡᠯ ᠤ ᠨ ᠪᠦ ᠯᠦᠭ\sᠣᠷ ᠤᠯᠳ ᠤᠯᠭ ᠠ ᠶ᠋ᠢ ᠨ ᠬᠠᠭ ᠤᠳᠠ ᠰᠦ ᠠᠩ ᠭᠢ᠄ ᠨᠡᠷ ᠡ ᠄ ᠡᠳᠤᠷ ᠰᠠᠷ ᠠ ᠄ ᠨᠢᠭ ᠡ ᠂ ᠣᠷ ᠤᠯᠳ ᠤᠯᠭ ᠠ ᠨᠢ ᠭᠡ ᠰᠠᠭ ᠰᠠᠨ ᠪᠥ ᠮᠪᠦᠭᠡ ᠶ᠋ᠢᠨ ᠬ ᠤᠯᠪᠤ ᠭᠠᠲᠦ ᠤᠷ ᠤᠯᠳ ᠤᠭᠠ ᠨ ᠳ᠋ ᠦ ᠂ ᠲᠠᠯᠠᠪ ᠤᠷ ᠪᠦᠷ ᠢ ᠶ᠋ ᠢᠨ ᠤᠷ ᠤᠯᠳ ᠤᠭᠠ ᠨ ᠳ᠋ ᠦ ᠴ ᠥᠮ ᠢᠠ ᠯᠵᠦ ᠢᠯᠠᠭ ᠳᠠᠬ ᠤ ᠶ᠋ ᠢ ᠢᠯᠭᠠᠷᠠ ᠭᠤᠯ

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ \s92 ᠨᠢᠭ ᠡ ᠦᠯᠦ ᠮᠡ ᠳᠡᠭᠳ ᠡᠭᠴᠢ ᠲᠡᠢ ᠨᠢ ᠭᠡᠳ ᠤᠭᠡᠷ ᠵᠡᠷᠭ ᠡ ᠶ᠋ᠢᠨ ᠲᠡᠩᠴ ᠡᠳᠬ ᠡᠯ ᠪᠤᠰᠤ\sᠣᠷ ᠤᠯᠳ ᠤᠯᠭ ᠠ ᠶ᠋ᠢᠨ ᠬᠠ ᠭᠤᠳ ᠠᠰᠦ ᠠᠩ ᠭᠢ᠄ ᠨᠡᠷ ᠡ ᠄ ᠡᠳᠤᠷ ᠰᠠᠷ ᠠ ᠄ ᠰᠡᠳᠭ ᠢᠬᠦ᠄ ᠲᠠᠷᠠᠭ ᠠᠬᠢ ᠲᠡᠩᠴ ᠡᠳᠬᠡᠯ ᠪ ᠤᠰᠤ ᠨᠤ ᠭᠤᠳ ᠢ ᠠᠵ ᠢᠭᠯᠠ ᠄ X− 7 26 3X 50 − 4X 3 ᠲᠡᠳ ᠡᠭᠡᠷ ᠲᠦ ᠶᠠᠮ ᠡᠷ ᠨᠡᠢ ᠢᠲᠡᠯᠢ ᠭ ᠣᠨ ᠴᠠᠯᠢ ᠭ ᠲᠠ ᠢ ᠪᠤᠢ\sᠰᠢᠨ ᠡ ᠳᠦ ᠷᠢ᠄ ᠰᠢᠨ ᠡ ᠳᠦ ᠷᠢ ᠶ᠋ᠢ ᠪᠠᠳ ᠤ

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ 81 ᠬᠤᠶᠡ ᠷ ᠦᠯ ᠦ ᠮᠡ ᠳᠡᠭ ᠳᠡᠭᠴᠢ ᠲᠡᠢ ᠨᠢ ᠭᠡᠳ ᠤᠭᠡᠷ ᠵᠡᠷᠭᠡ ᠶ᠋ᠢ ᠨ ᠲᠡᠭ ᠰᠢᠳᠭᠡᠯ ᠤ ᠨ ᠪᠦ ᠯᠦᠭ\sᠣᠷ 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

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠵᠡᠷᠭᠡᠴᠡ ᠭᠡ ᠰᠢ ᠯᠤᠭ ᠤᠨ ᠤ ᠮᠠᠭᠠᠳᠯᠠᠯᠲᠠ ᠪᠠ ᠰᠢ ᠨᠵᠢ ᠴᠢ ᠨᠡᠷ\sᠪᠤᠯᠪ ᠡᠰᠤᠷ ᠠᠯ ᠤ ᠨ ᠬᠢᠴᠢ ᠶᠡᠯ ᠠᠩᠭᠢ ᠄ ᠨ ᠡᠷ ᠡ ᠄ ᠡᠳ ᠤᠷ ᠰᠠᠷ ᠠ ᠄ ᠨᠢᠭᠡ ᠂ ᠵᠢ ᠷᠤᠭ ᠮ ᠡᠲᠦ ᠂ Δ AB C ᠳ᠋ᠦ ᠂ ᠴᠡ ᠭ D ,C ᠨᠢ ᠲ ᠤᠰ ᠲᠤᠰ AB, BC ᠲᠡ ᠭᠡᠷ ᠠ ᠤᠷ ᠤᠰᠢᠬᠤ ᠪᠥᠭᠡᠳ DE // AC ᠂∠1\s∠2 ᠃ 1 ᠪᠠ ᠳᠤᠯᠠᠭᠳ ᠠᠬᠤ ᠨᠢ᠄ AF // BC\s2 ᠬᠡᠷᠪ ᠡ AC ᠨᠢ ∠B AF ᠶ᠋ᠢ ᠲᠠᠯ ᠠᠯᠠᠨ ᠬᠤᠪᠢ ᠶᠡᠵᠦ

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ 1ᠣᠷ ᠤᠯᠠᠭ ᠤᠯᠬᠤ ᠠᠷ ᠭ ᠠ ᠪᠡᠷ ᠲᠤᠤ ᠷᠡᠬᠢ ᠲᠡᠭᠰ ᠢᠳᠭᠡᠯ ᠢ ᠪᠤᠳ ᠦ᠃ ᠰᠡᠳ ᠤᠪ ᠪᠦ ᠷᠢ 5 ᠬ ᠤᠪᠢ\s2ᠨᠡᠮ ᠡᠵᠦ ᠬᠠᠰᠤ ᠬᠤ ᠠᠷ ᠭ ᠠ ᠪᠡᠷ ᠲᠤ ᠤᠷᠡ ᠬᠢ ᠲᠡᠭ ᠰᠢᠳᠭᠡᠯ ᠢ ᠪᠤᠳ ᠦ᠃ ᠰᠡ ᠳᠤᠪ ᠪᠦ ᠷᠢ 5 ᠬ ᠤᠪᠢ\s3ᠮᠡᠳ ᠡᠬᠦ ᠨᠢ ᠲᠡᠭ ᠰᠢᠳᠭᠡᠯ 2 𝑚 − 6 𝑥 | 𝑚 −2 | 𝑛 − 6 𝑦 𝑛 −3\s0 ᠪᠣᠯ ᠬᠤᠶ ᠡᠷ ᠦᠯᠦ ᠮᠡ ᠳᠡᠭ ᠳᠡᠭᠴᠢ ᠲᠡᠢ ᠨ ᠢᠭᠡᠳ ᠤᠭᠡᠷ ᠵᠡᠷᠭ ᠡ ᠶ᠋ᠢ ᠨ ᠲᠡᠭᠰ ᠢᠳᠭᠡ

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ 93ᠨ ᠢᠭᠡ ᠦ ᠯᠦ ᠮᠡᠳᠡ ᠭᠳᠡ ᠭᠴᠢᠲᠡ ᠢ ᠨ ᠢᠭᠡᠳ ᠤᠭᠡᠷ ᠵᠡᠷᠭᠡ ᠶ᠋ᠢᠨ ᠲᠡᠩ ᠴᠡᠳ ᠬᠡᠯ ᠪᠤᠰ ᠤ ᠶ᠋ᠢᠨ ᠪᠦᠯ ᠦᠭ\sᠣᠷ ᠤᠯᠳᠤ ᠯᠭ ᠠ ᠶ᠋ᠢᠨ ᠠᠭᠤ ᠤᠳᠭᠰ ᠦ ᠠᠩᠭᠢ᠄ ᠨᠡᠷ ᠡ ᠄ ᠰᠢᠨ ᠡ ᠲᠦ ᠷᠢ ᠄ 1 ᠨᠢᠭ ᠡ ᠦᠯ ᠦ ᠮᠡᠳᠡ ᠭᠳᠡ ᠭᠴᠢᠲᠡ ᠢ ᠨ ᠢᠭᠡᠳᠤ ᠭᠡᠷ ᠵᠡᠷᠭᠡ ᠶ᠋ᠢᠨ ᠲᠡᠩ ᠴᠡᠳ ᠬᠡᠯ ᠪᠤᠰ ᠤ ᠶ᠋ᠢᠨ ᠪᠦᠯ ᠦᠭ ᠄ 1 2 ᠵᠢᠱ ᠢᠶ ᠡ ᠄ ᠲ ᠤᠤᠷᠡᠬᠢ ᠲᠡᠩ ᠴᠡᠳ ᠬᠡᠯ ᠪᠤᠰ ᠤ ᠶ᠋ᠢᠨ ᠪᠦᠯ ᠦᠭ ᠡᠴ ᠡ ᠨᠢᠭ ᠡ

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ \sᠬᠡᠷ ᠡᠭᠯᠡ ᠯᠲᠡ ᠶ᠋ᠢᠨ ᠰᠡᠳᠤ ᠪ\sᠣᠷ ᠤᠯᠳ ᠤᠯᠭ ᠠ ᠶ᠋ᠢ ᠨ ᠠᠭᠤ ᠤᠳᠭᠦ ᠠᠩ ᠭᠢ᠄ ᠨᠡᠷ ᠡ ᠄ ᠡᠳᠤᠷ ᠰᠭᠷ ᠠ ᠄ 1ᠨᠢ ᠭᠡᠨ ᠪᠠᠷ ᠢᠯᠭ ᠠ ᠶ᠋ᠢᠨ ᠠᠩᠭᠢ 1 0 ᠡᠳ ᠤᠷ ᠲ 6 KM ᠵ ᠭᠮ ᠵᠭᠰ ᠭᠬᠤ ᠪᠡᠷ ᠲᠥ ᠯᠦᠪ ᠯᠡᠵᠡᠢ᠃ ᠡᠬᠢ ᠨ ᠤ 2 ᠡᠳ ᠤᠷ 12 KM ᠵᠭᠰ ᠭᠭᠰ ᠭᠨ ᠤ ᠰᠡᠦ ᠯᠡᠡᠷ ᠲᠥ ᠯᠦᠪ ᠯᠡᠭ ᠋ᠦ ᠤᠤᠪᠷ ᠷᠭᠯᠲ ᠡ ᠠᠭᠷ ᠵ ᠭᠮ ᠵᠭᠰ ᠭᠬᠤ ᠡᠦᠯᠷᠭ ᠶ᠋ᠢ ᠠᠳᠭ ᠭ ᠲ ᠪᠠ ᠨ2 ᠡᠳ ᠤᠷ ᠤᠷᠢ ᠳᠴ ᠢᠡᠡᠨ

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ \s92 ᠨᠢᠭ ᠡ ᠦᠯᠦ ᠮᠡ ᠳᠡᠭᠳ ᠡᠭᠴᠢ ᠲᠡᠢ ᠨᠢ ᠭᠡᠳ ᠤᠭᠡᠷ ᠵᠡᠷᠭ ᠡ ᠶ᠋ᠢᠨ ᠲᠡᠩᠴ ᠡᠳᠬ ᠡᠯ ᠪᠤᠰᠤ\sᠣᠷ ᠤᠯᠳ ᠤᠯᠭ ᠠ ᠶ᠋ᠢᠨ ᠬᠠ ᠭᠤᠳ ᠠᠰᠦ ᠠᠩ ᠭᠢ᠄ ᠨᠡᠷ ᠡ ᠄ ᠡᠳᠤᠷ ᠰᠠᠷ ᠠ ᠄ ᠰᠡᠳᠭ ᠢᠬᠦ᠄ ᠲᠠᠷᠠᠭ ᠠᠬᠢ ᠲᠡᠩᠴ ᠡᠳᠬᠡᠯ ᠪ ᠤᠰᠤ ᠨᠤ ᠭᠤᠳ ᠢ ᠠᠵ ᠢᠭᠯᠠ ᠄ X− 7 26 3X 50 − 4X 3 ᠲᠡᠳ ᠡᠭᠡᠷ ᠲᠦ ᠶᠠᠮ ᠡᠷ ᠨᠡᠢ ᠢᠲᠡᠯᠢ ᠭ ᠣᠨ ᠴᠠᠯᠢ ᠭ ᠲᠠ ᠢ ᠪᠤᠢ\sᠰᠢᠨ ᠡ ᠳᠦ ᠷᠢ᠄ ① ② ③ ᠰᠢᠨ ᠡ ᠳᠦ ᠷᠢ