13.3.1 ᠠᠳᠠᠯᠢ ᠬᠠᠵᠠᠭᠤᠲᠤ ᠭᠤᠷᠪᠠᠯᠵᠢᠨ ᠤ ᠰᠢᠨᠵᠢ ᠴᠢᠨᠠᠷ .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᠄,13.3.1 ᠠᠳᠠᠯᠢ ᠬᠠᠵᠠᠭᠤᠳᠤ ᠭᠤᠷᠪᠠᠯᠵᠢᠨ,1. ᠠᠳ᠋ᠠᠯᠢ ᠬᠠᠵᠠᠭᠤᠳ᠋ᠤ ᠭᠤᠷᠪᠠᠯᠵᠢᠨ ᠤ ᠰᠢᠨᠵᠢ ᠴᠢᠨᠠᠷ ᠢ ᠤᠢᠯᠠᠭᠠᠵᠤ᠂ ᠲᠦᠬᠦᠮ ᠪᠠᠳ᠋ᠤᠯᠠᠯᠳ᠋ᠠ ᠪᠠ ᠪᠤᠳ᠋ᠤᠯᠭᠠ ᠶᠢ ᠬᠥᠢᠴᠡᠳᠭᠡᠵᠦ ᠴᠢᠳ᠋ᠠᠬᠤ᠃ 2. ᠠᠳ᠋ᠠᠯᠢ ᠬᠠᠵᠠᠭᠤᠳ᠋ᠤ ᠭᠤᠷᠪᠠᠯᠵᠢᠨ ᠤ ᠲᠡᠭᠰᠢ ᠬᠡᠮᠳ᠋ᠦ ᠴᠢᠨᠠᠷ ᠢ ᠠᠵᠢᠠᠠᠯᠠᠬᠤ ᠪᠡᠷ ᠲᠠᠮᠵᠢᠨ ᠠᠵᠢᠠᠠᠯᠠᠬᠤᠢ᠂ ᠪᠥᠳ᠋ᠦᠬᠡᠯᠴᠢ ᠰᠡᠳᠭᠢᠬᠦᠢ ᠪᠠᠨ ᠬᠥᠮᠦᠵᠢᠬᠦᠯᠬᠦ᠃,ᠰᠤᠷᠬᠤ ᠬᠠᠷᠠᠯᠳ᠋ᠠ᠄,ᠠᠰᠠᠭᠤᠳᠠᠯ 1 ᠄,ᠠᠮᠢᠳᠤᠷᠠᠯ ᠳᠤᠮᠳᠠᠬᠢ ᠠᠳᠠᠯᠢ ᠬᠠᠵᠠᠭᠤᠳᠤ ᠭᠤᠷᠪᠠᠯᠵᠢᠨᠤ ᠲᠤᠬᠠᠢ ᠪᠣᠳᠠᠲᠤ ᠵᠢᠰᠢᠶᠡ ᠳᠠᠲᠠ᠃,,,,,,,ᠬᠤᠶᠠᠷ ᠲᠠᠯᠠ ᠨᠢ ᠬᠠᠷᠢᠯᠴᠠᠨ ᠲᠡᠩᠴᠡᠭᠦ ᠭᠤᠷᠪᠠᠯᠵᠢᠨ ᠢ ᠠᠳ᠋ᠠᠯᠢ ᠬᠠᠵᠠᠭᠤᠳ᠋ᠤ ᠭᠤᠷᠪᠠᠯᠵᠢᠨ ᠬᠡᠨᠠ᠃,ᠬᠠᠵᠠᠭᠤ,ᠬᠠᠵᠠᠭᠤ,ᠰᠠᠭᠤᠷᠢ,ᠣᠷᠣᠢ ᠶᠢᠨ ᠥᠨᠴᠥᠭ,ᠰᠠᠭᠤᠷᠢ ᠥᠨᠴᠥᠭ,ᠰᠠᠭᠤᠷᠢ ᠥᠨᠴᠥᠭ,ᠠᠰᠠᠭᠤᠳᠠᠯ 1 ᠄,ᠠᠳᠠᠯᠢ ᠬᠠᠵᠠᠭᠤᠳᠤ ᠭᠤᠷᠪᠠᠯᠵᠢᠨᠤ ᠲᠤᠬᠠᠢ ᠥᠪᠡᠷᠦᠨ ᠰᠣᠷᠣᠭᠰᠠᠨ ᠮᠡᠳᠡᠭᠰᠡᠨᠢᠶᠡᠨ ᠬᠤᠪᠢᠶᠠᠯᠴᠠᠶᠠ᠃,,,,𝐴,𝐵,𝐶,𝐷,ᠠᠰᠠᠭᠤᠳᠠᠯ 2 ᠄,𝐴𝐵＝𝐴𝐶,𝐵𝐷＝𝐶𝐷,𝐴𝐷＝𝐴𝐷,∠𝐵 ＝ ∠𝐶,∠𝐵𝐴𝐷 ＝ ∠𝐶𝐴𝐷,∠𝐴𝐷𝐵 ＝ ∠𝐴𝐷𝐶,ᠬᠠᠢᠴᠢᠯᠠᠵᠦ ᠣᠯᠣᠭᠰᠠᠨ ᠭᠤᠷᠪᠠᠯᠵᠢᠨᠠᠴᠠ ᠲᠡᠩᠴᠡᠬᠦᠦ ᠥᠨᠴᠥᠭ᠂ ᠲᠡᠩᠴᠡᠬᠦᠦ ᠬᠡᠷᠴᠢᠮ ᠦᠳᠢ ᠵᠢᠭᠠᠵᠤ ᠭᠠᠷᠭᠠ᠃,ᠠᠰᠠᠭᠤᠳᠠᠯ 2 ᠄,,ᠳᠠᠪᠬᠤᠴᠠᠭᠰᠠᠨ ᠬᠡᠷᠴᠢᠮ,ᠳᠠᠪᠬᠤᠴᠠᠭᠰᠠᠨ ᠥᠨᠴᠥᠭ,∵ ∠𝐴𝐷𝐵＝∠𝐴𝐷𝐶 ＝90°,,（𝐻𝐿）,∴ Rt△𝐴𝐵𝐷≌Rt△𝐴𝐶𝐷,∴ ∠𝐵＝∠𝐶,ᠰᠠᠭᠤᠷᠢ BC ᠲᠡᠭᠡᠷᠡᠭᠢ ᠥᠨᠳᠥᠷ AD ᠶᠢ ᠪᠠᠢᠭᠤᠯᠤᠨᠠ,ᠪᠠᠳ᠋ᠤᠯᠠᠬᠤ ᠨᠢ᠄,∠𝐵𝐴𝐷= ∠𝐶𝐴𝐷,ᠠᠰᠠᠭᠤᠳᠠᠯ 2 ᠄,,,𝐴,𝐵,𝐶,𝐷,∠𝐴𝐷𝐵= ∠𝐴𝐷𝐶=90°,,∴ ∠𝐵＝∠𝐶,ᠰᠠᠭᠤᠷᠢ BC ᠲᠡᠭᠡᠷᠡᠭᠢ ᠳᠤᠮᠳᠠ ᠱᠤᠭᠤᠮ AD ᠶᠢ ᠪᠠᠢᠭᠤᠯᠤᠨᠠ,ᠪᠠᠳ᠋ᠤᠯᠠᠬᠤ ᠨᠢ᠄,∠𝐵𝐴𝐷= ∠𝐶𝐴𝐷,ᠠᠰᠠᠭᠤᠳᠠᠯ 2 ᠄,,,𝐴,𝐵,𝐶,𝐷,∵ 𝐵𝐷＝𝐶𝐷,∴ △𝐴𝐵𝐷≌ △𝐴𝐶𝐷,（SSS）,𝐵𝐷= 𝐶𝐷,,∴ ∠𝐵＝∠𝐶,ᠪᠠᠳ᠋ᠤᠯᠠᠬᠤ ᠨᠢ᠄,𝐵𝐷= 𝐶𝐷,ᠠᠰᠠᠭᠤᠳᠠᠯ 2 ᠄,,,𝐴,𝐵,𝐶,𝐷,∴ △𝐴𝐵𝐷≌ △𝐴𝐶𝐷,（SAS）,∠𝐵𝐴𝐷 ᠶᠢᠨ ᠲᠠᠯᠠᠯᠠᠨ ᠬᠤᠪᠢᠶᠠᠠᠠᠴᠢ ᠶᠢ ᠪᠠᠢᠭᠤᠯᠤᠨᠠ,∵ ∠𝐵𝐴𝐷＝∠𝐶𝐴𝐷,∠𝐴𝐷𝐵= ∠𝐴𝐷𝐶=90°,ᠬᠤᠷᠢᠶᠠᠩᠭᠤᠢᠯᠠᠯ᠄,∴ ∠𝐵=𝐶,∵ 𝐴𝐵=𝐴𝐶,ᠰᠢᠨᠵᠢ ᠴᠢᠨᠠᠷ 1: ᠠᠳ᠋ᠠᠯᠢ ᠬᠠᠵᠠᠭᠤᠳ᠋ᠤ ᠭᠤᠷᠪᠠᠯᠵᠢᠨ ᠤ ᠬᠤᠶᠠᠷ ᠰᠠᠭᠤᠷᠢ ᠦᠨᠴᠦᠭ ᠨᠢ ᠲᠡᠩᠴᠡᠭᠦᠦ᠃（ᠲᠡᠩᠴᠡᠭᠦᠦ ᠲᠠᠯᠠ ᠶᠢᠨ ᠡᠰᠡᠷᠭᠦ ᠦᠨᠴᠦᠭ ᠨᠢ ᠲᠡᠩᠴᠡᠭᠦᠦ）,ᠬᠤᠷᠢᠶᠠᠩᠭᠤᠢᠯᠠᠯ᠄,ᠰᠢᠨᠵᠢ ᠴᠢᠨᠠᠷ 2: ᠠᠳ᠋ᠠᠯᠢ ᠬᠠᠵᠠᠭᠤᠳ᠋ᠤ ᠭᠤᠷᠪᠠᠯᠵᠢᠨ ᠤ ᠤᠷᠤᠢ ᠶᠢᠨ ᠦᠨᠴᠦᠭ ᠦᠨ ᠲᠠᠯᠠᠯᠠᠨ ᠬᠤᠪᠢᠶᠠᠠᠠᠴᠢ᠂ ᠰᠠᠭᠤᠷᠢ ᠲᠡᠭᠡᠷᠡᠭᠢ ᠲᠤᠮᠳ᠋ᠠ ᠱᠤᠭᠤᠮ᠂ ᠰᠠᠭᠤᠷᠢ ᠲᠡᠭᠡᠷᠡᠭᠢ ᠦᠨᠳ᠋ᠦᠷ ᠨᠢ ᠬᠠᠷᠢᠯᠴᠠᠨ ᠲᠠᠪᠬᠤᠴᠠᠨᠠ᠃,,,𝐴,𝐵,𝐶,𝐷,ᠲᠡᠩᠭᠡᠯᠢᠭ ᠲᠤ ᠲᠡᠭᠰᠢ ᠬᠡᠮᠳ᠋ᠦ ᠵᠢᠷᠤᠭ ᠲᠦᠷᠰᠦ,,ᠠᠳᠠᠯᠢ ᠬᠠᠵᠠᠭᠤᠳᠤ ᠭᠤᠷᠪᠠᠯᠵᠢᠨ,ᠰᠠᠭᠤᠷᠢ ᠥᠨᠴᠥᠭ ᠨᠢ ᠲᠡᠩᠴᠡᠬᠦᠦ,ᠦᠨᠴᠦᠭ ᠦᠨ ᠲᠠᠯᠠᠯᠠᠨ ᠬᠤᠪᠢᠶᠠᠠᠠᠴᠢ᠂ ᠰᠠᠭᠤᠷᠢ ᠲᠡᠭᠡᠷᠡᠭᠢ ᠲᠤᠮᠳ᠋ᠠ ᠱᠤᠭᠤᠮ᠂ ᠰᠠᠭᠤᠷᠢ ᠲᠡᠭᠡᠷᠡᠭᠢ ᠦᠨᠳ᠋ᠦᠷ ᠨᠢ ᠬᠠᠷᠢᠯᠴᠠᠨ ᠲᠠᠪᠬᠤᠴᠠᠨᠠ,ᠲᠡᠩᠴᠡᠬᠦᠦ ᠲᠠᠯᠠᠶᠢᠨ ᠡᠰᠡᠷᠬᠦ ᠥᠨᠴᠥᠭ ᠨᠢ ᠲᠡᠩᠴᠡᠬᠦᠦ, ,ᠬᠤᠷᠢᠶᠠᠩᠭᠤᠢᠯᠠᠯ᠄,,,𝐴,𝐵,𝐶,𝐷,ᠵᠢᠷᠤᠭ ᠮᠡᠳ᠋ᠦ᠂ △𝐴𝐵𝐶 ᠳᠦ᠂ 𝐴𝐵=𝐴𝐶᠂ ᠴᠡᠭ 𝐷 ᠨᠢ 𝐴𝐶 ᠲᠡᠭᠡᠷᠠ ᠤᠷᠤᠰᠢᠬᠤ ᠪᠥᠬᠡᠳ 𝐵𝐷= 𝐵𝐶=𝐴𝐷 ᠪᠤᠯᠤᠨᠠ᠃ △𝐴𝐵𝐶 ᠶᠢᠨ ᠡᠯᠠ ᠦᠨᠴᠦᠭ ᠦᠨ ᠭᠷᠠᠳ᠋ᠦ᠋ᠰ ᠦᠨ ᠲᠤᠭᠠ ᠶᠢ ᠤᠯ᠃,ᠬᠠᠷᠠᠭᠠᠯᠵᠠᠭᠰᠠᠨ ᠪᠣᠯᠪᠠᠰᠤᠷᠠᠯ᠄,
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