ᠴᠢᠪᠠᠭᠠ ᠮᠤᠩᠭᠤᠯ ᠳᠤᠮᠳᠠᠳᠤ ᠰᠤᠷᠭᠠᠭᠤᠯᠢ — ᠲᠤᠭᠠᠨ ᠤ ᠤᠬᠠᠭᠠᠨ — ᠨᠠᠢᠮᠠ ᠤᠨ — ᠳᠤᠤᠷᠠᠳᠤ — ᠦᠷᠴᠠᠶᠢᠬᠤ — 18.2.1🌵 ᠲᠡᠭᠰᠢ u ᠦᠨᠴᠦᠭᠲᠦ （1） .pptx
ᠨᠠᠢ᠍ᠮᠠᠳᠤᠭᠠᠷ ᠣᠨ （ ᠲᠤᠤᠷᠠᠳᠤ ᠲᠡᠪᠳᠡᠷ ）,ᠠᠯᠪᠠᠨ ᠵᠢᠷᠤᠮ ᠤᠨ ᠰᠤᠷᠭᠠᠨ ᠭᠦᠮᠦᠵᠢᠯ ᠦᠨ ᠰᠤᠷᠬᠤ ᠪᠢᠴᠢᠭ᠌,ᠲᠣᠭᠠᠨ ᠤ ᠤᠬᠠᠭᠠᠨ,ᠠᠷᠤ ᠬᠣᠷᠴᠢᠨ ᠬᠣᠰᠢᠭᠤᠨ ᠣ ᠴᠢᠪᠠᠭᠠ ᠮᠣᠩᠭᠤᠯ ᠦᠨᠳᠦᠰᠦᠲᠡᠨ ᠣ ᠳᠤᠮᠳᠠᠳᠤ ᠰᠤᠷᠭᠠᠭᠤᠯᠢ ᠦᠷᠴᠠᠢᠬᠤ,18.2 ᠤᠨᠴᠠᠭᠠᠢ ᠵᠢᠰᠢᠭᠦᠯᠵᠢᠨ,18.2.1 ᠲᠡᠭᠰᠢ ᠦᠨᠴᠦᠭᠲᠦ,ᠵᠢᠰᠢᠬᠦᠯᠵᠢᠨ ᠦ ᠰᠢᠨᠵᠢ ᠴᠢᠨᠠᠷ,(1) ᠬᠤᠶᠠᠷ ᠬᠤᠤᠰ ᠡᠰᠡᠷᠭᠦ ᠲᠠᠯᠠ ᠨᠢ ᠵᠡᠷᠭᠡᠴᠡᠭᠡ ᠪᠦᠬᠡᠳ ᠲᠡᠨᠭᠴᠡᠭᠦᠦ ᠃,(2) ᠬᠤᠶᠠᠷ ᠬᠤᠤᠰ ᠡᠰᠡᠷᠭᠦ ᠦᠨᠴᠦᠭ ᠨᠢ ᠲᠡᠨᠭᠴᠡᠬᠦᠦ ᠂ ᠵᠡᠷᠭᠡᠯᠡᠳᠡᠭᠡ ᠦᠨᠴᠦᠭ ᠨᠢ ᠬᠠᠷᠢᠯᠴᠠᠨ ᠨᠦᠭᠦᠪᠦᠷᠢ ᠦᠨᠴᠦᠭ ᠪᠤᠯᠤᠨᠠ ᠃,(3) ᠲᠠᠰᠢᠭᠤᠪᠴᠢ ᠨᠢ ᠬᠠᠷᠢᠯᠴᠠᠨ ᠲᠠᠯᠠᠯᠠᠨ ᠬᠤᠪᠢᠶᠠᠨᠠ ᠃,𝐴𝐵∥𝐶𝐷,𝐴𝐷∥𝐵𝐶 AB=𝐶𝐷,𝐴𝐷=𝐵𝐶,∠𝐴=∠𝐶,∠𝐵=∠𝐷 ∠𝐴+∠𝐷= 180 ° , ∠𝐴+∠= 180 °,𝑂𝐴=𝑂𝐶, 𝑂𝐵=𝑂𝐷,,ᠲᠡᠭᠰᠢ ᠦᠨᠴᠦᠭ,ᠵᠡᠷᠭᠡᠴᠡᠭᠡ ᠮᠦᠷᠲᠡᠭᠡᠨ ᠲᠡᠩᠴᠡᠭᠦᠤ,ᠠᠳᠠᠯᠢ,ᠶᠡᠬᠡᠰᠦᠭᠰᠡᠨ ᠂ ᠲᠡᠭᠰᠢ ᠦᠨᠴᠦᠭᠲᠦ ᠦᠶᠡᠰ ᠬᠠᠮᠤᠭ ᠶᠡᠬᠡ,,ᠲᠡᠭᠰᠢ ᠦᠨᠴᠦᠭᠲᠦ ᠪᠤᠯ ᠤᠨᠴᠠᠭᠠᠢ ᠵᠢᠰᠢᠭᠦᠯᠵᠢᠨ ᠪᠤᠯᠤᠨᠠ,ᠲᠡᠭᠰᠢ ᠦᠨᠴᠦᠭᠳᠦ ᠶᠢᠨ ᠤᠬᠠᠭᠳᠠᠬᠤᠨ᠄,ᠲᠡᠮᠳᠡᠭᠯᠡᠬᠦ ᠠᠷᠭᠠ ᠄,ᠮᠦᠷᠳᠡᠯᠭᠡ ᠶᠢᠨ ᠶᠠᠪᠤᠴᠠ ᠪᠠᠨ ᠲᠡᠮᠳᠡᠭᠯᠡᠪᠡᠯ ᠄,ᠨᠢᠬᠡ ᠦᠨᠴᠦᠭ ᠨᠢ ᠲᠡᠭᠰᠢ ᠦᠨᠴᠦᠭ ᠪᠤᠯᠬᠤ ᠵᠢᠰᠢᠬᠦᠯᠵᠢᠨ ᠢ ᠲᠡᠭᠰᠢ ᠦᠨᠴᠦᠭᠳᠦ ᠭᠡᠨᠡ ᠃,ᠲᠡᠭᠰᠢ ᠦᠨᠴᠦᠭᠲᠦ ᠶᠢᠨᠰᠢᠨᠵᠢ ᠴᠢᠨᠠᠷ,(1) ᠡᠰᠡᠷᠭᠦ ᠲᠠᠯᠠ ᠨᠢ ᠵᠡᠷᠭᠡᠴᠡᠭᠡ ᠪᠦᠬᠡᠳ ᠲᠡᠨᠭᠴᠡᠭᠦᠦ ᠃,(2) ᠳᠦᠷᠪᠡᠨ ᠦᠨᠴᠦᠭ ᠨᠢ ᠴᠦᠮ ᠲᠡᠭᠰᠢ ᠦᠨᠴᠦᠭ ᠃,(3) ᠲᠠᠰᠢᠭᠤᠪᠴᠢ ᠨᠢ ᠲᠡᠩᠴᠡᠭᠦᠤ ᠮᠥᠷᠲᠡᠭᠡᠨ ᠬᠠᠷᠢᠯᠴᠠᠨ ᠲᠠᠯᠠᠯᠠᠨ ᠬᠤᠪᠢᠶᠠᠨᠠ ᠃,𝐴𝐵∥𝐶𝐷,𝐴𝐷∥𝐵𝐶 AB=𝐶𝐷,𝐴𝐷=𝐵𝐶,∠𝐴=∠𝐶=∠𝐵= ∠𝐷= 90 °,𝐴𝐶=𝐵𝐷 𝑂𝐴=𝑂𝐶=𝑂𝐵=𝑂𝐷,O,ᠪᠠᠳᠤᠯᠠᠶᠠ,ᠦᠭᠭᠦᠭᠳᠡᠭᠰᠡᠨ ᠨᠢ ᠄,ᠪᠠᠳᠤᠯᠠᠭᠳᠠᠬᠤ ᠨᠢ ᠄,AC=BD,ᠪᠠᠳᠤᠯᠠᠬᠤ ᠨᠢ ᠄,ᠲᠡᠭᠰᠢ ᠦᠨᠴᠦᠭᠲᠦ ᠶᠢᠨ ᠲᠠᠰᠢᠭᠤᠪᠴᠢ ᠨᠢ ᠲᠡᠩᠴᠡᠭᠦᠤ,ᠮᠦᠷᠳᠡᠯᠭᠡ ᠄ ᠲᠡᠭᠰᠢ ᠦᠨᠴᠦᠭᠳᠦ ᠭᠤᠷᠪᠠᠯᠵᠢᠨ ᠤ ᠵᠢᠰᠢᠬᠦᠦ ᠲᠠᠯᠠ ᠲᠡᠭᠡᠷᠡᠭᠢ ᠲᠤᠮᠳᠠ ᠱᠤᠭᠤᠮ ᠨᠢ ᠵᠢᠰᠢᠬᠦᠦ ᠲᠠᠯᠠ ᠶᠢᠨ ᠪᠡᠨ ᠬᠠᠭᠠᠰ ᠲᠠᠢ ᠲᠡᠩᠴᠡᠨᠡ ᠃,BO= 1 2 AC,ᠮᠦᠷᠳᠡᠵᠤ ᠦᠵᠡᠶᠡ,ᠵᠢᠷᠤᠭ ᠮᠡᠳᠦ ᠂ ᠲᠡᠭᠰᠢ ᠦᠨᠴᠦᠭᠳᠦ ABCD ᠳ᠋ᠦ ᠲᠠᠰᠢᠭᠤᠪᠴᠢ AC᠂ BD ᠨᠢ O ᠳ᠋ᠦ ᠤᠭᠳᠤᠯᠤᠯᠴᠠᠨᠠ 𝑅𝑡∆𝐴𝐵𝐶 ᠶᠢ ᠠᠵᠢᠭᠯᠠᠪᠠᠯ ᠂ 𝑅𝑡∆𝐴𝐵𝐶 ᠳᠤ ᠂ BO ᠪᠤᠯ ᠵᠢᠰᠢᠭᠦᠤ ᠲᠠᠯᠠACᠳᠡᠭᠡᠷᠡᠬᠢ ᠲᠤᠮᠳᠠ ᠱᠤᠭᠤᠮ ᠂BO ᠪᠠ AC ᠨᠢ ᠶᠠᠮᠠᠷ ᠬᠤᠯᠪᠤᠭᠳᠠᠯ ᠲᠠᠢ ᠪᠤᠢ ︖,ᠰᠢᠨᠵᠢ ᠴᠢᠨᠠᠷ ᠨᠢ ( ) ᠃ 1.ᠲᠡᠭᠰᠢ ᠦᠨᠴᠦᠭᠳᠦ ᠳ᠋ᠦ ᠪᠠᠢᠢᠪᠠᠴᠤ ᠵᠢᠰᠢᠬᠦᠯᠵᠢᠨ ᠳ᠋ᠦ ᠦᠬᠡᠢ,A. ᠲᠠᠰᠢᠭᠤᠪᠴᠢ ᠨᠢ ᠬᠠᠷᠢᠯᠴᠠᠨ ᠲᠠᠯᠠᠯᠠᠨ ᠬᠤᠪᠢᠶᠠᠨᠠ,B. ᠡᠰᠡᠷᠭᠦ ᠲᠠᠯᠠ ᠨᠢ ᠬᠠᠷᠢᠯᠴᠠᠨ ᠲᠡᠨᠭᠴᠡᠬᠦᠦ,D. ᠲᠠᠰᠢᠭᠤᠪᠴᠢ ᠨᠢ ᠲᠡᠨᠭᠴᠡᠭᠦᠦ,C. ᠡᠰᠡᠷᠭᠦ ᠦᠨᠴᠦᠭ ᠨᠢ ᠬᠠᠷᠢᠯᠴᠠᠨ ᠲᠡᠨᠭᠴᠡᠬᠦᠦ,D,AC= ( ) BO=4 ᠪᠤᠯ ABCD ᠳ᠋ᠦ ᠲᠡᠭᠰᠢ ᠦᠨᠴᠦᠭᠳᠦ 2.ᠵᠢᠷᠤᠭ ᠮᠡᠳᠦ ᠂,8,ᠪᠠᠳᠤᠳᠬᠠᠯ ᠪᠤᠯᠪᠠᠰᠤᠷᠠᠯ,3.ᠵᠢᠷᠤᠭ ᠮᠡᠳᠦ ᠂ ᠲᠡᠭᠰᠢ ᠦᠨᠴᠦᠭᠳᠦABCD ᠳ᠋ᠦ ᠲᠠᠰᠢᠭᠤᠪᠴᠢ AC᠂BD ᠨᠢ O ᠳ᠋ᠦ ᠤᠭᠳᠤᠯᠤᠯᠴᠠᠨᠠ᠂ ∠AOB=70° ᠪᠤᠯ ∠ADB=( ),35°,ᠵᠢᠱᠢᠶᠡ 1:,ᠵᠢᠷᠤᠭ ᠮᠡᠳᠦ ᠂ ᠲᠡᠭᠰᠢ ᠦᠨᠴᠦᠭᠳᠦ ABCD ᠶᠢᠨ ᠲᠠᠰᠢᠭᠤᠪᠴᠢ AC , BD ᠨᠢ O ᠳ᠋ᠦ ᠤᠠᠠᠳᠤᠯᠤᠯᠴᠠᠵᠤ ᠂∠𝐴𝑂𝐵=60°, AB=4 ᠪᠣᠯᠤᠨᠠ ᠃ ᠲᠡᠭᠰᠢ ᠦᠨᠴᠦᠭᠳᠦ ᠶᠢᠨ ᠲᠠᠰᠢᠭᠤᠪᠴᠢ ᠶᠢᠨ ᠤᠷᠳᠤ ᠶᠢ ᠤᠯ ᠃,,,O,ᠪᠤᠳᠤᠬᠤ ᠨᠢ ᠄,ᠨᠢᠬᠡ ᠦᠨᠴᠦᠭ ᠨᠢ ᠲᠡᠭᠰᠢ ᠦᠨᠴᠦᠭ ᠪᠤᠯᠬᠤ ᠵᠢᠰᠢᠬᠦᠯᠵᠢᠨ ᠢ ᠲᠡᠭᠰᠢ ᠦᠨᠴᠦᠭᠲᠦ,1. ᠤᠬᠠᠭᠳᠠᠬᠤᠨ᠄,2. ᠰᠢᠨᠵᠢ ᠴᠢᠨᠠᠷ ᠄,(1) ᠡᠰᠡᠷᠭᠦ ᠲᠠᠯᠠ ᠨᠢ ᠵᠡᠷᠭᠡᠴᠡᠭᠡ ᠪᠦᠬᠡᠳ ᠲᠡᠨᠭᠴᠡᠭᠦᠦ ᠃,(2)ᠲᠦᠷᠪᠡᠨ ᠦᠨᠴᠦᠭ ᠨᠢ ᠴᠦᠮ ᠲᠡᠭᠰᠢ ᠦᠨᠴᠦᠭ ᠃,(3) ᠲᠠᠰᠢᠭᠤᠪᠴᠢ ᠨᠢ ᠬᠠᠷᠢᠯᠴᠠᠨ ᠲᠠᠯᠠᠯᠠᠨ ᠬᠤᠪᠢᠶᠠᠬᠤ ᠪᠦᠬᠡᠳ ᠲᠡᠨᠭᠴᠡᠭᠦᠦ ᠃,ᠮᠦᠷᠳᠡᠯᠭᠡ ᠄ ᠲᠡᠭᠰᠢ ᠦᠨᠴᠦᠭᠳᠦ ᠭᠤᠷᠪᠠᠯᠵᠢᠨ ᠤ ᠵᠢᠰᠢᠬᠦᠦ ᠲᠠᠯᠠ ᠲᠡᠭᠡᠷᠡᠭᠢ ᠲᠤᠮᠳᠠ ᠱᠤᠭᠤᠮ ᠨᠢ ᠵᠢᠰᠢᠬᠦᠦ ᠲᠠᠯᠠ ᠶᠢᠨ ᠪᠡᠨ ᠬᠠᠭᠠᠰ ᠲᠠᠢ ᠲᠡᠩᠴᠡᠨᠡ ᠃,ᠳ᠋ᠦᠩᠨᠡᠯᠲᠡ,
ᠮᠣᠩᠭᠣᠯ ᠳ᠋ᠣᠺ ᠤᠨ ᠬᠥᠮᠥᠷᠭᠡ