ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠰᠤᠷᠬᠤ ᠬᠠᠷᠠᠯᠳᠠ᠄,1︽ ᠬᠤᠶᠡᠷ ᠴᠡᠭ ᠨᠢᠭᠡ ᠰᠢᠯᠤᠭᠤᠨ ᠢ ᠲᠤᠭᠳᠠᠭᠠᠬᠤ︾ ᠦᠨᠳᠤᠰᠤᠨ ᠤᠬᠠᠭᠳᠠᠬᠤᠨ ᠢ ᠡᠵᠡᠮᠰᠢᠨ᠎ᠡ᠃,2 ᠰᠢᠯᠤᠭᠤᠨ᠂ ᠰᠠᠴᠤᠷᠠᠭ᠂ ᠬᠡᠷᠴᠢᠮ ᠢ ᠤᠯᠠᠮ ᠨᠢᠭᠡ ᠠᠯᠬᠤᠮ ᠲᠠᠨᠢᠵᠤ᠂ ᠰᠢᠯᠤᠭᠤᠨ᠂ ᠰᠠᠴᠤᠷᠠᠭ᠂ ᠬᠡᠷᠴᠢᠮ ᠢ ᠢᠯᠡᠷᠬᠡᠢᠯᠡᠬᠦ ᠠᠷᠭ᠎ᠠ ᠵᠢ ᠡᠵᠡᠮᠰᠢᠨ᠎ᠡ᠃,3 ᠺᠸᠤᠮᠸᠲ᠋ᠷᠢ ᠶᠢᠨ ᠬᠡᠯᠡ ᠶᠢᠨ ᠬᠡᠷᠡᠭᠯᠡᠯᠳᠠ ᠵᠢ ᠠᠩᠬ᠎ᠠ ᠠᠯᠬᠤᠮ ᠪᠠᠶᠡᠴᠢᠯᠡᠨ ᠤᠬᠠᠨ᠎ᠠ᠃,,,,,,,,,,P,,O,（ ）,,A,B,（ ）

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ 41 ᠺᠸᠤᠮᠸᠲ᠋ᠷᠢ ᠶᠢᠨ ᠵᠢᠷᠣᠭ ᠲᠦᠷᠰᠣ,412 ᠴᠡᠭ ᠱᠤᠭᠤᠮ ᠭᠠᠳᠠᠷᠭᠤ ᠪᠡᠶ᠎ᠡ,ᠰᠤᠷᠬᠤ ᠬᠠᠷᠠᠯᠳᠠ᠄,1ᠴᠡᠭ᠂ ᠱᠤᠭᠤᠮ᠂ ᠭᠠᠳᠠᠷᠭᠤ᠂ ᠪᠡᠶ᠎ᠡ ᠵᠢᠨ ᠤᠬᠠᠭᠳᠠᠬᠤᠨ ᠢ ᠣᠢᠯᠠᠭᠠᠵᠤ᠂ ᠲᠣᠳᠤᠷᠬᠠᠢ ᠢᠯᠭᠠᠵᠤ ᠴᠢᠳᠠᠨ᠎ᠠ᠃,2ᠲᠡᠯᠭᠡᠴᠡ ᠳᠤ ᠦᠵᠡᠭᠦᠯᠦᠭᠰᠡᠨ ᠵᠢᠷᠤᠭ ᠲᠦᠷᠰᠤ ᠵᠢᠨ ᠣᠨᠴᠠᠯᠢᠭ ᠢ ᠦᠨᠳᠦᠰᠦᠯᠡᠨ ᠲᠥᠷᠦᠯ ᠬᠤᠪᠢᠶᠠᠨ ᠨᠡᠷᠡᠯᠡᠵᠦ᠂ ᠡᠯ᠎ᠡ ᠵᠦᠢᠯ ᠤᠨ ᠵᠢᠷᠤᠭ ᠲᠦᠷᠰᠦ ᠵᠢᠨ ᠰᠢᠨᠵᠢ ᠴᠢᠨᠠᠷ ᠢ᠋ ᠢᠯᠡᠷᠠᠭᠦᠯᠦᠨ᠎ᠡ᠃,,

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ,41 ᠺᠸᠤᠮᠸᠲ᠋ᠷᠢ ᠶᠢᠨ ᠵᠢᠷᠣᠭ ᠲᠦᠷᠰᠣ,ᠰᠤᠷᠬᠤ ᠬᠠᠷᠠᠯᠳᠠ᠄,1 ᠪᠤᠳᠠᠳᠠᠢ ᠪᠣᠳᠠᠰ ᠪᠠ ᠪᠤᠳᠠᠳᠠᠢ ᠵᠠᠭᠪᠤᠷ ᠤ᠋ᠨ ᠭᠠᠳᠠᠷ ᠲᠦᠷᠰᠤ ᠡᠴᠡ ᠺᠸᠤᠮᠸᠲ᠋ᠷᠢ ᠤᠨ ᠵᠢᠷᠤᠭ ᠲᠦᠷᠰᠤ ᠶᠢ ᠣᠯᠵᠤ᠂ ᠡᠭᠦᠨ ᠤ ᠤᠯᠠᠮ ᠡᠴᠡ ᠪᠡᠶᠡᠲᠦ ᠵᠢᠷᠤᠭ ᠲᠦᠷᠰᠤ ᠪᠠ ᠬᠠᠪᠲᠠᠭᠠᠢ ᠶᠢᠨ ᠵᠢᠷᠤᠭ ᠲᠦᠷᠰᠤ ᠶᠢᠨ ᠢᠯᠭᠠᠭ᠎ᠠ ᠵᠢ ᠣᠢᠯᠠᠭᠠᠨ᠎ᠠ᠃,2 ᠵᠢᠷᠤᠭ ᠲᠦᠷᠰᠤ ᠡᠴᠡ ᠣᠨᠴᠠᠯᠢᠭ ᠢ ᠬᠤᠷᠢᠶᠠᠩᠭᠤᠢᠯᠠᠨ ᠪᠡᠶᠡᠳᠦ ᠵᠢᠷᠤᠭ ᠲᠦᠷᠰᠤ ᠪᠤᠶᠤ ᠬᠠᠪᠳᠠᠭᠠ

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠲᠤᠯᠤᠳᠤᠭᠠᠷ ᠣᠨ （ ᠲᠡᠭᠡᠳᠤ ᠲᠡᠪᠳᠡᠷ ）,ᠲᠣᠭᠠᠨ ᠤ ᠤᠬᠠᠭᠠᠨ,121 ᠶᠤᠰᠤᠳᠠᠢ ᠲᠣᠭ᠎ᠠ,ᠰᠤᠷᠬᠤ ᠬᠠᠷᠠᠯᠳᠠ᠄ 1 ᠰᠥᠭᠡᠷᠭᠦ ᠲᠣᠭ᠎ᠠ ᠵᠢ ᠤᠯᠠᠮ ᠨᠢᠭᠡ ᠠᠯᠬᠤᠮ ᠬᠦᠨᠵᠡᠭᠡᠢ ᠣᠢᠯᠭᠠᠨ᠎ᠠ᠃ 2ᠶᠤᠰᠤᠳᠠᠢ ᠲᠣᠭ᠎ᠠ ᠵᠢ ᠵᠥᠪ ᠤᠨᠤᠪᠴᠢᠳᠠᠢ ᠲᠥᠷᠦᠯ ᠬᠤᠪᠢᠶᠠᠵᠤ ᠴᠢᠳᠠᠨ᠎ᠠ᠃,ᠰᠣᠶᠤᠯ ᠴᠠᠭ ᠠᠭᠤᠷ ᠤᠨ ᠮᠡᠳᠡᠭᠡᠯᠡᠯ ᠡᠴᠡ ᠡᠪᠦᠯ ᠤᠨ ᠨᠢᠭᠡᠨ ᠡᠳᠤᠷ ᠤᠨ ᠶᠠᠮᠠᠷ ᠨᠢᠭᠡᠨ ᠭᠠᠵᠠᠷ ᠤᠨ ᠬᠠᠮᠤᠭ ᠤᠨ ᠥᠨᠳᠦᠷ ᠲᠤᠯᠠᠭᠠᠴᠠ ᠨᠢ 15℃

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ,,,,,,,,ᠬᠡᠷᠡᠭᠯᠡᠯᠳᠠ ᠶᠢᠨ ᠰᠡᠳᠤᠪ ᠢ ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠪᠠᠢᠭᠤᠯᠤᠨ ᠪᠤᠳᠤᠬᠤ ᠠᠯᠬᠤᠮ ᠲᠠᠷᠠᠭ᠎ᠠ᠄,1 ᠵᠢᠱᠢᠯᠳᠠ ᠬᠢᠨ᠎ᠡ᠃,2 ᠲᠡᠩᠴᠡᠭᠦᠦ ᠬᠣᠯᠪᠤᠭᠳᠠᠯ ᠢ ᠣᠯᠤᠨ᠎ᠠ᠃,3ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠪᠠᠢᠭᠤᠯᠤᠨ᠎ᠠ᠃,4ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠢᠶᠡᠨ ᠪᠣᠳᠤᠨ᠎ᠠ᠃,5ᠬᠠᠷᠢᠭᠤᠯᠳᠠ ᠬᠢᠨ᠎ᠡ᠃,ᠳ᠋ᠦᠩᠨᠡᠯᠲᠡ,ᠲᠡᠩᠴᠡᠳᠭᠡᠯ ᠦᠨ ᠦᠨᠳᠤᠰᠤᠨ ᠰᠢᠨᠵᠢ ᠴᠢᠨᠠᠷ,,ᠦᠨᠳᠤᠰᠤᠨ ᠰᠢᠨᠵᠢ ᠴᠢᠨᠠᠷ 1,ᠦᠨᠳᠤᠰᠤᠨ ᠰᠢᠨᠵᠢ ᠴᠢᠨᠠᠷ 2,ᠬᠡᠷᠡᠭᠯᠠᠯᠳᠠ,ᠲᠡᠩᠴᠡᠳᠭᠡ

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠲᠣᠭᠠᠨ ᠤ ᠤᠬᠠᠭᠠᠨ ᠤ ᠳᠣᠯᠣᠳᠤᠭᠠᠷ ᠣᠨ ᠤ 4.3.1 ᠥᠨᠴᠦᠭ 角.pptx ﹇ ᠳᠡᠯᠭᠡᠷᠡᠩᠭᠦᠢ ﹈

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ ᠲᠤᠯᠤᠳᠤᠭᠠᠷ ᠣᠨ ︵ᠲᠡᠭᠡᠳᠤ ᠲᠡᠪᠳᠡᠷ︶ , ᠲᠣᠭᠠᠨ ᠤ ᠤᠬᠠᠭᠠᠨ , ᠤᠯᠠᠭᠠᠬᠠᠳᠠ ᠳᠠᠬᠢ ᠮᠣᠩᠭᠤᠯ ᠦᠨᠳᠤᠰᠤᠳᠡᠨ ᠦ ᠲᠤᠮᠳᠠᠳᠤ ᠰᠤᠷᠭᠠᠭᠤᠯᠢ , ᠴᠡᠴᠡᠭ ,121 ᠶᠤᠰᠤᠳᠠᠢ ᠲᠤᠭ᠎ᠠ , ᠰᠤᠷᠬᠤ ᠬᠠᠷᠠᠯᠳᠠ᠄ 1 ᠰᠥᠭᠡᠷᠭᠦ ᠲᠤᠭ᠎ᠠ ᠶᠢ ᠤᠯᠠᠮ ᠨᠢᠭᠡ ᠠᠯᠬᠤᠮ ᠬᠦᠨᠵᠡᠭᠡᠢ ᠣᠢᠯᠭᠠᠬᠤ᠃ 2 ᠶᠤᠰᠤᠳᠠᠢ ᠲᠤᠭ᠎ᠠ ᠶᠢ ᠵᠥᠪ ᠤᠨᠤᠪᠴᠢᠳᠠᠢ ᠲᠥᠷᠦᠯ ᠬᠤᠪᠢᠶᠠᠬᠤ᠃ , ᠰᠣᠶᠤᠯ ᠴᠠᠭ ᠠᠭᠤᠷ ᠤᠨ ᠮᠡᠳᠡᠭᠡᠯᠡᠯ ᠠᠴᠠ ᠡᠪᠦᠯ ᠤᠨ ᠨᠢᠭᠡᠨ ᠡ

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ 914 ᠲᠡᠩᠴᠡᠳᠭᠡᠯ ᠪᠤᠰᠤ ᠶᠢᠨ ᠰᠢᠨᠵᠢ ᠴᠢᠨᠠᠷ ᠤᠨ ᠥᠷᠭᠡᠳᠭᠡᠯ ᠪᠠ ᠰᠥᠪᠡᠭᠴᠢᠯᠡᠯ,ᠬᠡᠷᠪᠡ 𝑎𝑏 ᠪᠣᠯ᠂ ᠳᠠᠷᠭᠠᠠᠬᠢ ᠲᠡᠩᠴᠡᠳᠭᠡᠯ ᠪᠤᠰᠤ ᠠᠴᠠ ᠪᠠᠢᠭᠤᠯᠤᠭᠳᠠᠬᠤ ᠨᠢ\s,ᠬᠠᠷᠠᠭᠠᠯᠵᠠᠭᠰᠠᠨ ᠪᠣᠯᠪᠠᠰᠤᠷᠠᠯ ᠄,𝐴 𝑎 𝑐 2 𝑏 𝑐 2,𝐵 𝑎− 𝑐 2 𝑏− 𝑐 2,𝐶 𝑎 𝑐 2 𝑏 𝑐 2,𝐷 𝑎 𝑐 2 1 𝑏 𝑐 2 1,ᠬᠡᠷᠪᠡ 𝑎𝑏 ᠪᠣᠯ᠂ ᠳᠠᠷᠭᠠᠠᠬᠢ ᠲᠡᠩᠴᠡᠳᠭᠡᠯ ᠪᠤᠰᠤ ᠠᠴ

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ 913 ᠲᠡᠩᠴᠡᠳᠭᠡᠯ ᠪᠤᠰᠤ ᠶᠢᠨ ᠰᠢᠨᠵᠢ ᠴᠢᠨᠠᠷ ᠢ ᠠᠰᠢᠭᠯᠠᠵᠤ ᠲᠡᠩᠴᠡᠳᠭᠡᠯ ᠪᠤᠰᠤ ᠶᠢ ᠪᠣᠳᠤᠬᠤ,ᠰᠤᠷᠬᠤ ᠬᠠᠷᠠᠯᠲᠠ ᠄,ᠳᠡᠡᠭᠴᠡᠳᠬᠡᠯ ᠪᠤᠰᠤ ᠶᠢᠨ ᠰᠢᠨᠵᠢ ᠴᠢᠨᠠᠷ ᠢ ᠬᠡᠷᠡᠭ᠍ᠯᠡᠨ ᠲᠥᠭᠥᠮ ᠳᠡᠡᠭᠴᠡᠳᠬᠡᠯ ᠪᠤᠰᠤ ᠵᠢ ᠪᠤᠳ᠋ᠤᠬᠤ ᠵᠢᠴᠢ ᠬᠠᠷᠢᠭᠤ ᠴᠤᠭᠯᠠᠷᠠᠯ ᠢ ᠨᠢ ᠳᠤᠭᠠᠨ ᠤ ᠲᠡᠩᠭᠡᠯᠢᠭ ᠳᠡᠭᠡᠷ᠎ᠡ ᠢᠯᠡᠷᠭᠡᠢᠯᠡᠵᠤ ᠴᠢᠳ᠋ᠠᠬᠤ ᠃,1 𝑎＜𝑏 𝑎−1____𝑏−1 2 𝑎𝑏 𝑎1 ___ 𝑏1

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ 912 ᠲᠡᠩᠴᠡᠳᠭᠡᠯ ᠪᠤᠰᠤ ᠶᠢᠨ ᠰᠢᠨᠵᠢ ᠴᠢᠨᠠᠷ,ᠰᠤᠷᠬᠤ ᠬᠠᠷᠠᠯᠲᠠ ᠄,1 ᠲᠡᠩᠴᠡᠳᠭᠡᠯ ᠪᠤᠰᠤ ᠶᠢᠨ ᠰᠢᠨᠵᠢ ᠴᠢᠨᠠᠷ ᠢ ᠮᠥᠷᠳᠡᠬᠦ ᠪᠠᠷ ᠳᠠᠮᠵᠢᠨ ᠳᠡᠡᠭᠴᠡᠳᠬᠡᠯ ᠪᠤᠰᠤ ᠶᠢᠨ ᠰᠢᠨᠵᠢ ᠴᠢᠨᠠᠷ ᠢ ᠡᠵᠡᠮᠰᠢᠬᠦ ᠃ 2ᠳᠡᠡᠭᠴᠡᠳᠬᠡᠯ ᠪᠤᠰᠤ ᠶᠢᠨ ᠰᠢᠨᠵᠢ ᠴᠢᠨᠠᠷ ᠪᠤᠯᠤᠨ ᠳᠡᠡᠭᠴᠡᠳᠬᠡᠯ ᠦᠨ ᠰᠢᠨᠵᠢ ᠴᠢᠨᠠᠷ ᠤᠨ ᠠᠳ᠋ᠠᠯᠢ ᠪᠤᠰᠤ ᠵᠢ ᠠᠡᠭ᠍ᠬ᠎᠎ᠠ ᠠᠯᠬᠤᠮ ᠲᠠᠨᠢᠬᠤ᠃,,1 𝑥3＞6,2 2𝑥＜8,ᠲᠡᠩᠴᠡᠳᠬᠡᠯ ᠪᠤᠰᠤ

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ 911 ᠲᠡᠩᠴᠡᠳᠭᠡᠯ ᠪᠤᠰᠤ ᠵᠢᠴᠢ ᠲᠡᠭᠦᠨ ᠦ ᠬᠠᠷᠢᠭᠤ ᠴᠤᠭᠯᠠᠷᠠᠯ,1 ᠲᠡᠩᠴᠡᠳᠬᠡᠯ ᠪᠤᠰᠤ ᠶᠢᠨ ᠤᠬᠠᠠᠠᠳ᠋ᠠᠬᠤᠨ ᠢ ᠤᠢᠯᠠᠭᠠᠨ᠎᠎ᠠ ᠃ 2 ᠲᠡᠩᠴᠡᠳᠬᠡᠯ ᠪᠤᠰᠤ ᠶᠢᠨ ᠬᠠᠷᠢᠭᠤ ᠪᠠ ᠬᠠᠷᠢᠭᠤ ᠴᠤᠠᠠᠯᠠᠷᠠᠯ ᠢ ᠲᠤᠳ᠋ᠤ ᠤᠢᠯᠠᠭᠠᠬᠤ᠃ 3 ᠲᠡᠩᠴᠡᠳᠬᠡᠯ ᠪᠤᠰᠤ ᠶᠢᠨ ᠬᠠᠷᠢᠭᠤ ᠴᠤᠠᠠᠯᠠᠷᠠᠯ ᠢ ᠲᠣᠭᠠᠨ ᠤ ᠲᠡᠩᠭᠡᠯᠢᠭ ᠳᠡᠭᠡᠷ᠎ᠡ ᠢᠯᠡᠷᠬᠡᠢᠯᠡᠵᠦ ᠴᠢᠳ᠋ᠠᠬᠤ ᠃,ᠰᠤᠷᠬᠤ ᠬᠠᠷᠠᠯᠳ᠋ᠠ ᠄,ᠨᠡᠷᠡᠳ᠋ᠦ ᠰᠠᠠᠠᠰᠤᠨ ᠪᠦᠮᠪᠦ

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ 84 ᠭᠤᠷᠪᠠᠨ ᠥᠯᠥ ᠮᠡᠳᠡᠭᠳᠡᠭᠴᠢᠳᠡᠢ ᠨᠢᠭᠡᠳᠤᠭᠡᠷ ᠵᠡᠷᠭᠡ ᠶᠢᠨ ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠦᠨ ᠪᠥᠯᠥᠭ ᠦᠨ ᠪᠣᠳᠣᠬᠤ ᠠᠷᠭ᠎ᠠ,ᠰᠤᠷᠬᠤ ᠬᠠᠷᠠᠯᠳ᠋ᠠ ᠄,1ᠭᠤᠷᠪᠠᠨ ᠦᠯᠦ ᠮᠡᠳ᠋ᠡᠭ᠍ᠳ᠋ᠡᠭᠴᠢᠳ᠋ᠡᠢ ᠨᠢᠬᠡᠳ᠋ᠦᠬᠡᠷ ᠵᠡᠷᠭᠡ ᠶᠢᠨ ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠤᠨ ᠪᠦᠯᠦᠭ᠌ ᠤᠨ ᠤᠬᠠᠠᠠᠳ᠋ᠠᠬᠤᠨ ᠢ ᠤᠢᠯᠠᠭᠠᠵᠤ ᠮᠡᠳ᠋ᠡᠭᠦ ᠃ 2 ᠬᠢᠯᠪᠠᠷ ᠭᠤᠷᠪᠠᠨ ᠦᠯᠦ ᠮᠡᠳ᠋ᠡᠭ᠍ᠳ᠋ᠡᠭᠴᠢᠳ᠋ᠡᠢ ᠨᠢᠬᠡᠳ᠋ᠦᠬᠡᠷ ᠵᠡᠷᠭᠡ ᠶᠢᠨ ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠤᠨ ᠪᠦᠯᠦᠭ᠌ ᠢ ᠪᠤᠳ᠋ᠤᠵᠤ

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ 84 ᠭᠤᠷᠪᠠᠨ ᠥᠯᠥ ᠮᠡᠳᠡᠭᠳᠡᠭᠴᠢᠳᠡᠢ ᠨᠢᠭᠡᠳᠤᠭᠡᠷ ᠵᠡᠷᠭᠡ ᠶᠢᠨ ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠦᠨ ᠪᠥᠯᠥᠭ ᠦᠨ ᠪᠣᠳᠣᠬᠤ ᠠᠷᠭ᠎ᠠ,ᠰᠤᠷᠬᠤ ᠬᠠᠷᠠᠯᠳ᠋ᠠ ᠄,1ᠭᠤᠷᠪᠠᠨ ᠦᠯᠦ ᠮᠡᠳ᠋ᠡᠭ᠍ᠳ᠋ᠡᠭᠴᠢᠳ᠋ᠡᠢ ᠨᠢᠬᠡᠳ᠋ᠦᠬᠡᠷ ᠵᠡᠷᠭᠡ ᠶᠢᠨ ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠤᠨ ᠪᠦᠯᠦᠭ᠌ ᠤᠨ ᠤᠬᠠᠠᠠᠳ᠋ᠠᠬᠤᠨ ᠢ ᠤᠢᠯᠠᠭᠠᠵᠤ ᠮᠡᠳ᠋ᠡᠭᠦ ᠃ 2 ᠬᠢᠯᠪᠠᠷ ᠭᠤᠷᠪᠠᠨ ᠦᠯᠦ ᠮᠡᠳ᠋ᠡᠭ᠍ᠳ᠋ᠡᠭᠴᠢᠳ᠋ᠡᠢ ᠨᠢᠬᠡᠳ᠋ᠦᠬᠡᠷ ᠵᠡᠷᠭᠡ ᠶᠢᠨ ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠤᠨ ᠪᠦᠯᠦᠭ᠌ ᠢ ᠪᠤᠳ᠋ᠤᠵᠤ

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ 833 ᠪᠤᠳ᠋ᠠᠳ᠋ᠠᠢ ᠠᠰᠠᠭᠤᠳ᠋ᠠᠯ ᠪᠠ ᠬᠤᠶᠠᠷ ᠦᠯᠦ ᠮᠡᠳ᠋ᠡᠭ᠍ᠳ᠋ᠡᠭᠴᠢᠳ᠋ᠡᠢ ᠨᠢᠭᠡᠳᠤᠭᠡᠷ ᠵᠡᠷᠭᠡ ᠶᠢᠨ ᠲᠡᠭ᠍ᠰᠢᠳᠬᠡᠯ ᠤᠨ ᠪᠦᠯᠦᠭ᠌,1 ᠪᠤᠳ᠋ᠠᠳ᠋ᠠᠢ ᠠᠰᠠᠭᠤᠳ᠋ᠠᠯ ᠤᠨ ᠲᠤᠭ᠎᠎ᠠ ᠪᠠ ᠬᠡᠮᠵᠢᠭ᠍ᠳ᠋ᠡᠬᠦᠨ ᠦ ᠨᠢᠭᠤᠴᠠ ᠵᠢ ᠢᠯᠡᠷᠡᠭᠦᠯᠵᠦ ᠬᠥᠰᠥᠨᠥᠭᠵᠢᠬᠦᠯᠦᠨ ᠰᠢᠢᠳᠪᠦᠷᠢᠯᠡᠵᠦ ᠴᠢᠳ᠋ᠠᠬᠤ ᠃ 2 ᠬᠤᠶᠠᠷ ᠦᠯᠦ ᠮᠡᠳ᠋ᠡᠭ᠍ᠳ᠋ᠡᠭᠴᠢᠳ᠋ᠡᠢ ᠨᠢᠬᠡᠳ᠋ᠦᠬᠡᠷ ᠵᠡᠷᠭᠡ ᠶᠢᠨ ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠤᠨ ᠪᠦᠯᠦᠭ᠌ ᠢᠶᠡᠷ ᠠᠰᠠᠭᠤ

ᠲᠣᠪᠴᠢᠯᠠᠯ᠄ 832 ᠪᠤᠳ᠋ᠠᠳ᠋ᠠᠢ ᠠᠰᠠᠭᠤᠳ᠋ᠠᠯ ᠪᠠ ᠬᠤᠶᠠᠷ ᠦᠯᠦ ᠮᠡᠳ᠋ᠡᠭ᠍ᠳ᠋ᠡᠭᠴᠢᠳ᠋ᠡᠢ ᠨᠢᠭᠡᠳᠤᠭᠡᠷ ᠵᠡᠷᠭᠡ ᠶᠢᠨ ᠲᠡᠭ᠍ᠰᠢᠳᠬᠡᠯ ᠤᠨ ᠪᠦᠯᠦᠭ᠌,ᠠ᠂ ᠡ ᠬᠣᠶᠠᠷ ᠵᠦᠢᠯ ᠦᠨ ᠲᠠᠷᠢᠮᠠᠯ ᠤᠨ ᠨᠢᠭᠡᠴᠢ ᠲᠠᠯᠠᠪᠠᠢ ᠶᠢᠨ ᠤᠨᠠᠯᠲᠠ ᠶᠢᠨ ᠬᠠᠷᠢᠴᠠᠯ ᠨᠢ 12 ᠪᠣᠯᠣᠨ᠎ᠠ᠃ ᠣᠳᠣ ᠤᠷᠳᠤ ᠨᠢ 200𝑚᠂ ᠥᠷᠭᠡᠨ ᠨᠢ 100𝑚 ᠪᠣᠯᠬᠤ ᠨᠢᠭᠡ ᠭᠡᠰᠡᠭ ᠤᠷᠳᠤ ᠳᠥᠷᠪᠡᠯᠵᠢᠨ ᠬᠡᠯᠪᠡᠷᠢᠲᠠᠢ ᠭᠠᠵᠠᠷ ᠢ ᠬᠣᠶᠠᠷ ᠭᠡᠰᠡᠭ ᠵᠢᠵᠢᠭ ᠤᠷᠲᠤ ᠳ