13.1.2 ᠬᠡᠷᠴᠢᠮ ᠤᠨ ᠡᠭᠴᠡ ᠲᠠᠯᠠᠯᠠᠨ ᠬᠤᠪᠢᠶᠠᠭᠴᠢ ᠶᠢᠨ ᠰᠢᠨᠵᠢ ᠴᠢᠨᠠᠷ 1 .pptx
ᠲᠣᠭᠠᠨ ᠤ ᠤᠬᠠᠭᠠᠨ,ᠨᠠᠢ᠍ᠮᠠᠳ᠋ᠤᠭᠠᠷ ᠤᠨ ᠤ ᠲᠡᠬᠡᠳ᠋ᠤ ᠲᠡᠪᠳ᠋ᠡᠷ,ᠠᠯᠪᠠᠨ ᠵᠢᠷᠤᠮ ᠦᠨ ᠰᠤᠷᠭᠠᠨ ᠬᠥᠮᠦᠵᠢᠯ ᠦᠨ ᠬᠢᠴᠢᠶᠡᠯ ᠦᠨ ᠪᠠᠷᠢᠮᠵᠢᠶᠠ ᠶᠢᠨ ᠲᠤᠷᠰᠢᠯᠳ᠋ᠠ ᠶᠢᠨ ᠰᠤᠷᠬᠤ ᠪᠢᠴᠢᠭ,ᠬᠢᠴᠢᠶᠡᠯᠯᠡᠭᠴᠢ᠄ ᠬᠠᠰᠪᠤᠶᠠᠨᠳᠤ QQ᠄ 544941735 ᠨᠠᠢᠲᠡ ᠶᠢᠨ ᠳᠠᠪᠴᠠᠩ᠄,13 .1.2 ᠬᠡᠷᠴᠢᠮ ᠦᠨ ᠡᠭᠴᠡ ᠲᠠᠯᠠᠯᠠᠨ ᠬᠤᠪᠢᠶᠠᠭᠴᠢ ᠶᠢᠨ ᠰᠢᠨᠵᠢ ᠴᠢᠨᠠᠷ,ᠰᠤᠷᠬᠤ ᠬᠠᠷᠠᠯᠳ᠋ᠠ᠄,1. ᠭᠡᠷᠴᠢᠮ ᠦᠨ ᠡᠭᠴᠡ ᠲᠠᠯᠠᠯᠠᠨ ᠬᠤᠪᠢᠶᠠᠠᠠᠴᠢ ᠶᠢᠨ ᠰᠢᠨᠵᠢ ᠴᠢᠨᠠᠷ ᠪᠠ ᠮᠠᠭᠠᠳᠯᠠᠯᠳ᠋ᠠ ᠶᠢ ᠤᠢᠯᠠᠭᠠᠨ ᠡᠵᠡᠮᠰᠢᠬᠦ᠃ 2. ᠭᠡᠷᠴᠢᠮ ᠦᠨ ᠡᠭᠴᠡ ᠲᠠᠯᠠᠯᠠᠨ ᠬᠤᠪᠢᠶᠠᠠᠠᠴᠢ ᠶᠢᠨ ᠰᠢᠨᠵᠢ ᠴᠢᠨᠠᠷ ᠪᠠ ᠮᠠᠭᠠᠳᠯᠠᠯᠳ᠋ᠠ ᠶᠢᠨ ᠪᠠᠳ᠋ᠤᠶᠤᠰᠤ ᠶᠢ ᠬᠡᠷᠡᠭᠯᠡᠵᠦ ᠴᠢᠳ᠋ᠠᠬᠤ᠃,ᠲᠡᠭᠰᠢ ᠬᠡᠮᠳ᠋ᠦ ᠴᠡᠭ ᠢ ᠬᠤᠯᠪᠤᠨᠠ᠃,𝐴,𝐵,𝐶,𝑀,𝑁,P,𝐴′,𝐵′,𝐶′,△𝐴𝐵𝐶 ᠪᠠ △𝐴′𝐵′𝐶′ ᠨᠢ ᠰᠢᠯᠤᠭᠤᠨ 𝑀𝑁 ᠤ ᠬᠤᠪᠢ ᠳ᠋ᠦ ᠲᠡᠭᠰᠢ ᠬᠡᠮᠳ᠋ᠡᠢ᠃,ᠭᠡᠷᠴᠢᠮ 𝐴𝐴 ′ ᠨᠢ ᠰᠢᠯᠤᠭᠤᠨ 𝑀𝑁 ᠳ᠋ᠦ ᠡᠭᠴᠡ ᠲᠠᠯᠠᠯᠠᠨ ᠬᠤᠪᠢᠶᠠᠠᠠᠳ᠋ᠠᠨᠠ,ᠭᠡᠷᠴᠢᠮ ᠦᠨ ᠲᠤᠮᠳ᠋ᠠ ᠴᠡᠭ ᠢ ᠲᠠᠭᠠᠷᠢᠬᠤ ᠪᠥᠬᠡᠳ ᠡᠨᠡ ᠬᠡᠷᠴᠢᠮ ᠳᠤ ᠡᠭᠴᠡ ᠪᠤᠯᠬᠤ ᠰᠢᠯᠤᠭᠤᠨ ᠢ ᠡᠨᠡ ᠭᠡᠷᠴᠢᠮ ᠦᠨ ᠡᠭᠴᠡ ᠲᠠᠯᠠᠯᠠᠨ ᠬᠤᠪᠢᠶᠠᠠᠠᠴᠢ ᠭᠡᠨᠠ᠃,ᠠᠰᠠᠭᠤᠳᠠᠯ 1 ᠄,,,,,,,P,Q,,,ᠲᠡᠩᠭᠡᠯᠢᠭ ᠲᠤ ᠲᠡᠭᠰᠢ ᠭᠡᠮᠳ᠋ᠦ ᠵᠢᠷᠤᠭ ᠲᠦᠷᠰᠦ ᠶᠢᠨ ᠲᠡᠭᠰᠢ ᠬᠡᠮ ᠦᠨ ᠲᠡᠩᠭᠡᠯᠢᠭ ᠨᠢ ᠲᠤᠷᠠ ᠶᠢᠨ ᠨᠢᠬᠡ ᠬᠤᠤᠰ ᠬᠠᠷᠠᠭᠠᠯᠵᠠᠠᠠᠰᠠᠨ ᠴᠡᠭ ᠢ ᠬᠤᠯᠪᠤᠠᠠᠰᠠᠨ ᠬᠡᠷᠴᠢᠮ ᠦᠨ ᠡᠭᠴᠡ ᠲᠠᠯᠠᠯᠠᠨ ᠬᠤᠪᠢᠶᠠᠠᠠᠴᠢ ᠪᠤᠯᠤᠨᠠ᠃,ᠠᠰᠠᠭᠤᠳᠠᠯ 1 ᠄,,,,,,,,,ᠴᠡᠭ 𝐴 ᠪᠠ ᠴᠡᠭ 𝐵 ᠶᠢᠨ ᠲᠡᠭᠰᠢ ᠬᠡᠮ ᠦᠨ ᠲᠡᠩᠭᠡᠯᠢᠭ ᠢ ᠵᠢᠷᠤᠬᠤ ᠠᠷᠭᠠ ᠄,ᠴᠡᠭ 𝐴 ᠪᠠ 𝐵 ᠪᠡᠷ ᠲᠦᠪ ᠪᠤᠯᠭᠠᠨ 1 2 𝐴𝐵 ᠶᠢᠨ ᠤᠷᠳ᠋ᠤ ᠡᠴᠡ ᠶᠡᠭᠡ ᠪᠡᠷ ᠷᠠᠳ᠋ᠢᠤᠰ ᠪᠤᠯᠭᠠᠨ ᠲᠤᠰ ᠲᠤᠰ ᠬᠡᠷᠴᠢᠮ AB ᠶᠢᠨ ᠬᠤᠶᠠᠷ ᠲᠠᠯᠠ ᠳᠤ ᠬᠤᠶᠠᠷ ᠨᠤᠮᠤ ᠪᠠᠢᠭᠤᠯᠪᠠᠯ 𝐶᠂ 𝐷 ᠬᠤᠶᠠᠷ ᠴᠡᠭ ᠲᠤ ᠤᠠᠠᠳ᠋ᠤᠯᠤᠯᠴᠠᠨᠠ᠃ ᠴᠡᠭ 𝐶᠂𝐷 ᠶᠢ ᠲᠠᠭᠠᠷᠢᠭᠤᠯᠤᠨ ᠰᠢᠯᠤᠭᠤᠨ ᠪᠠᠢᠭᠤᠯᠤᠨᠠ᠃,C,D,ᠠᠰᠠᠭᠤᠳᠠᠯ 2 ᠄,ᠦᠭᠬᠦᠭᠳ᠋ᠡᠭᠰᠡᠨ ᠨᠢ᠄ ᠰᠢᠯᠤᠭᠤᠨ 𝐿 ⊥𝐴𝐵᠂ ᠡᠭᠴᠡ ᠶᠢᠨ ᠰᠠᠭᠤᠷᠢ ᠨᠢ 𝐶᠂ 𝐴𝐶=𝐵𝐶᠂ ᠴᠡᠭ P ᠨᠢ L ᠲᠡᠭᠡᠷᠠ ᠤᠷᠤᠰᠢᠨᠠ᠃ ᠪᠠᠳ᠋ᠤᠯᠠᠠᠠᠳ᠋ᠠᠬᠤ ᠨᠢ᠄ 𝑃𝐴=𝑃𝐵,ᠪᠠᠳ᠋ᠤᠯᠠᠬᠤ ᠨᠢ᠄,∵ 𝐿⊥𝐴𝐵,∴ ∠𝑃𝐶𝐴＝∠𝑃𝐶𝐵,∴ Rt△PCA ≌ Rt△PCB,∴ 𝑃𝐴＝𝑃𝐵,ᠠᠰᠠᠭᠤᠳᠠᠯ 3 ᠄,ᠬᠤᠷᠢᠶᠠᠩᠭᠤᠢᠯᠠᠯ ᠄,ᠬᠡᠷᠴᠢᠮ ᠦᠨ ᠡᠭᠴᠡ ᠲᠠᠯᠠᠯᠠᠨ ᠬᠤᠪᠢᠶᠠᠠᠠᠴᠢ ᠲᠡᠭᠡᠷᠡᠭᠢ ᠴᠡᠭ ᠡᠴᠡ ᠡᠨᠡ ᠭᠡᠷᠴᠢᠮ ᠦᠨ ᠬᠤᠶᠠᠷ ᠦᠵᠦᠬᠦᠷ ᠦᠨ ᠴᠡᠭ ᠬᠥᠷᠭᠦ ᠵᠠᠢ ᠨᠢ ᠬᠠᠷᠢᠯᠴᠠᠨ ᠲᠡᠩᠴᠡᠭᠦᠦ᠃,ᠬᠡᠷᠴᠢᠮ ᠦᠨ ᠬᠤᠶᠠᠷ ᠦᠵᠦᠬᠦᠷ ᠦᠨ ᠴᠡᠭ ᠡᠴᠡ ᠲᠡᠩᠴᠡᠬᠦᠦ ᠵᠠᠢ ᠲᠠᠢ ᠴᠡᠭ ᠤᠳ ᠨᠢ ᠡᠨᠡ ᠭᠡᠷᠴᠢᠮ ᠦᠨ ᠡᠭᠴᠡ ᠲᠠᠯᠠᠯᠠᠨ ᠬᠤᠪᠢᠶᠠᠭᠴᠢ ᠳᠡᠭᠡᠷᠡ ᠣᠷᠣᠰᠢᠨᠠ᠃,,△𝐴𝐵𝐶 ᠳᠦ ᠲᠠᠯᠠ 𝐵𝐶 ᠶᠢᠨ ᠡᠭᠴᠡ ᠲᠠᠯᠠᠯᠠᠨ ᠬᠤᠪᠢᠶᠠᠠᠠᠴᠢ ᠨᠢ 𝐴𝐵 ᠲᠠᠢ ᠴᠡᠭ 𝐸 ᠳᠤ ᠤᠠᠠᠳ᠋ᠤᠯᠤᠯᠴᠠᠨᠠ᠂ ᠡᠭᠴᠡ ᠶᠢᠨ ᠰᠠᠭᠤᠷᠢ ᠨᠢ ᠴᠡᠭ 𝐷᠂ 𝐵𝐸=6 ᠪᠤᠯ 𝐶𝐸= ( )᠃,ᠬᠠᠷᠠᠭᠠᠯᠵᠠᠭᠰᠠᠨ ᠪᠣᠯᠪᠠᠰᠤᠷᠠᠯ,ᠦᠭᠬᠦᠭᠳ᠋ᠡᠭᠰᠡᠨ ᠰᠢᠯᠤᠭᠤᠨ ᠤ ᠭᠠᠳ᠋ᠠᠨᠡᠭᠢ ᠨᠢᠬᠡᠨ ᠴᠡᠭ ᠢ ᠲᠠᠭᠠᠷᠢᠭᠤᠯᠤᠨ ᠡᠨᠡ ᠰᠢᠯᠤᠭᠤᠨ ᠤ ᠡᠭᠴᠡ ᠰᠢᠯᠤᠭᠤᠨ ᠪᠠᠢᠬᠤ ᠪᠥᠭᠡᠳ ᠵᠥᠪᠬᠡᠨ ᠨᠢᠭᠡ ᠪᠠᠢᠨᠠ᠃,ᠦᠭᠬᠦᠭᠳ᠋ᠡᠭᠰᠡᠨ ᠨᠢ᠄ ᠰᠢᠯᠤᠭᠤᠨ AB ᠪᠠ AB ᠶᠢᠨ ᠭᠠᠳ᠋ᠠᠨᠡᠭᠢ ᠨᠢᠬᠡ ᠴᠡᠭ C ᠪᠠᠢᠭᠤᠯᠤᠠᠠᠳ᠋ᠠᠬᠤ ᠨᠢ᠄ AB ᠶᠢᠨ ᠡᠭᠴᠡ ᠰᠢᠯᠤᠭᠤᠨ᠂ ᠴᠡᠭ C ᠶᠢ ᠲᠠᠭᠠᠷᠢᠨᠠ᠃,A,B,,𝐶,ᠠᠰᠠᠭᠤᠳᠠᠯ 4 ᠄,,,,,,,
ᠮᠣᠩᠭᠣᠯ ᠳ᠋ᠣᠺ ᠤᠨ ᠬᠥᠮᠥᠷᠭᠡ