ᠲᠣᠭᠠᠨ ᠤ ᠤᠬᠠᠭᠠᠨ ᠤ ᠲᠤᠯᠤᠳᠤᠭᠠᠷ ᠣᠨ ᠤ ᠲᠡᠭᠡᠳᠤ 1.2.1 ᠶᠤᠰᠤᠳᠠᠢ ᠲᠤᠭᠠ 有理数 .pptx
ᠲᠤᠯᠤᠳᠤᠭᠠᠷ ᠣᠨ ︵ᠲᠡᠭᠡᠳᠤ ᠲᠡᠪᠳᠡᠷ︶ , ᠲᠣᠭᠠᠨ ᠤ ᠤᠬᠠᠭᠠᠨ , ᠤᠯᠠᠭᠠᠬᠠᠳᠠ ᠳᠠᠬᠢ ᠮᠣᠩᠭᠤᠯ ᠦᠨᠳᠤᠰᠤᠳᠡᠨ ᠦ ᠲᠤᠮᠳᠠᠳᠤ ᠰᠤᠷᠭᠠᠭᠤᠯᠢ , ᠴᠡᠴᠡᠭ ,1.2.1 ᠶᠤᠰᠤᠳᠠᠢ ᠲᠤᠭᠠ , ᠰᠤᠷᠬᠤ ᠬᠠᠷᠠᠯᠳᠠ᠄ 1. ᠰᠥᠭᠡᠷᠭᠦ ᠲᠤᠭᠠ ᠶᠢ ᠤᠯᠠᠮ ᠨᠢᠭᠡ ᠠᠯᠬᠤᠮ ᠬᠦᠨᠵᠡᠭᠡᠢ ᠣᠢᠯᠭᠠᠬᠤ᠃ 2. ᠶᠤᠰᠤᠳᠠᠢ ᠲᠤᠭᠠ ᠶᠢ ᠵᠥᠪ ᠤᠨᠤᠪᠴᠢᠳᠠᠢ ᠲᠥᠷᠦᠯ ᠬᠤᠪᠢᠶᠠᠬᠤ᠃ , ᠰᠣᠶᠤᠯ ᠴᠠᠭ ᠠᠭᠤᠷ ᠤᠨ ᠮᠡᠳᠡᠭᠡᠯᠡᠯ ᠠᠴᠠ ᠡᠪᠦᠯ ᠤᠨ ᠨᠢᠭᠡᠨ ᠡᠳᠤᠷ ᠤᠨ ᠶᠠᠮᠠᠷ ᠨᠢᠭᠡᠨ ᠭᠠᠵᠠᠷ ᠤᠨ ᠬᠠᠮᠤᠭ ᠤᠨ ᠥᠨᠳᠦᠷ ᠲᠤᠯᠠᠭᠠᠴᠠ ᠨᠢ 15℃ , ᠬᠠᠮᠤᠭ ᠤᠨ ᠲᠤᠤᠷᠠ ᠲᠤᠯᠠᠭᠠᠴᠠ ᠨᠢ −12℃ , ᠲᠤᠮᠳᠠᠴᠢ ᠲᠤᠯᠠᠭᠠᠴᠠ ᠨᠢ 0℃ ᠪᠣᠯᠬᠤ ᠶᠢ ᠮᠡᠳᠡᠭᠰᠡᠨ ᠪᠠᠢᠨᠠ᠂ ᠡᠳᠡᠭᠡᠷ ᠲᠤᠭᠠ ᠨᠢ ᠶᠠᠮᠠᠷ ᠲᠤᠭᠠ ᠪᠣᠯᠬᠤ ᠪᠤᠢ︖ , ᠲᠤᠭᠠ ᠪᠦᠬᠦᠯᠢ ᠡᠶᠡᠷᠬᠦ ,1 , 2 , 3 ,+4 , ᠁︔ , ᠲᠤᠭᠠ ᠪᠦᠬᠦᠯᠢ ᠰᠦᠭᠡᠷᠬᠦ ,-1 , -2 , -3 , ᠁︔ , ᠪᠤᠲᠠᠷᠬᠠᠢ ᠡᠶᠡᠷᠬᠦ ,1 2 , 2 3 , 15 7 , 0.1 , 5.32 , ᠁︔ , ᠪᠤᠳᠠᠷᠬᠠᠢ ᠰᠦᠭᠡᠷᠬᠦ ,-0.5 ,− 5 2 , − 2 3 ,− 1 7 , −150.25 , ᠁︔ , ᠲᠡᠭ ,0,, ᠪᠦᠬᠦᠯᠢ ᠲᠤᠭᠠ ,, ᠪᠤᠳᠠᠷᠬᠠᠢ ,, ᠶᠤᠰᠤᠳᠠᠢ ᠲᠤᠭᠠ ,3. ᠶᠤᠰᠤᠳᠠᠢ ᠲᠤᠭᠠ ᠶᠢ ᠬᠡᠷᠬᠢᠨ ᠲᠦᠷᠦᠯ ᠬᠤᠪᠢᠶᠡᠬᠤ ᠪᠤᠢ︖ , ᠰᠦᠪᠡᠭᠴᠢᠯᠡᠬᠦ᠄ ,1. ᠪᠦᠬᠦᠯᠢ ᠲᠤᠭᠠ ᠶᠢ ᠬᠡᠷᠬᠢᠨ ᠲᠦᠷᠦᠯ ᠬᠤᠪᠢᠶᠠᠬᠤ ᠪᠤᠢ︖ ,2. ᠪᠤᠳᠠᠷᠬᠠᠢ ᠲᠤᠭᠠ ᠶᠢ ᠬᠡᠷᠬᠢᠨ ᠲᠥᠷᠦᠯ ᠬᠤᠪᠢᠶᠠᠬᠤ ᠪᠤᠢ︖ ,,,,1. ᠲᠣᠳᠤᠷᠬᠠᠢᠯᠠᠯᠲᠠ ᠪᠠᠷ ᠲᠦᠷᠦᠯ ᠬᠤᠪᠢᠶᠠᠪᠠᠯ᠄ ,,,2. ᠲᠡᠮᠳᠡᠭ ᠢᠶᠡᠷ ᠲᠦᠷᠦᠯ ᠬᠤᠪᠢᠶᠠᠪᠠᠯ᠄ ,,,,1. ᠲᠤᠤᠷᠠᠬᠢ ᠠᠰᠠᠭᠤᠳᠠᠯ ᠢ ᠬᠠᠷᠢᠭᠤᠯᠵᠤ ᠲᠡᠢᠯᠤᠨᠠ ᠤᠤ︖ , ︵1︶ 0 ᠨᠢ ᠪᠦᠬᠦᠯᠢ ᠲᠤᠭᠠ ᠮᠦᠨ ᠤᠤ︖ ᠡᠶᠡᠷᠬᠦ ᠲᠤᠭᠠ ᠮᠦᠨ ᠤᠤ︖ ᠶᠤᠰᠤᠳᠠᠢ ᠲᠤᠭᠠ ᠮᠦᠨ ᠤᠤ︖ , ︵2︶ -5 ᠨᠢ ᠪᠦᠬᠦᠯᠢ ᠲᠤᠭᠠ ᠮᠦᠨ ᠤᠤ︖ ᠰᠦᠭᠡᠷᠬᠦ ᠲᠤᠭᠠ ᠮᠦᠨ ᠤᠤ︖ ᠶᠤᠰᠤᠳᠠᠢ ᠲᠤᠭᠠ ᠮᠦᠨ ᠤᠤ︖ , ︵3︶ ᠪᠠᠢᠭᠠᠯᠢ ᠲᠤᠭᠠ ᠨᠢ ᠪᠦᠬᠦᠯᠢ ᠲᠤᠭᠠ ᠮᠦᠨ ᠤᠤ︖ ᠡᠶᠡᠷᠬᠦ ᠲᠤᠭᠠ ᠮᠦᠨ ᠤᠤ︖ ᠶᠤᠰᠤᠳᠠᠢ ᠲᠤᠭᠠ ᠮᠦᠨ ᠤᠤ︖ , ᠪᠣᠯᠪᠠᠰᠤᠷᠠᠯ᠄ ,15 , − 1 9 , −5 , 2 15 , − 13 8 , 0.1 , −5.32 , −80 ,123 , 2.333, ᠡᠶᠡᠷᠬᠦ ᠪᠦᠬᠦᠯᠢ ᠲᠤᠭᠠᠨ ᠴᠤᠭᠯᠠᠷᠠᠯ᠄ , ᠰᠦᠭᠡᠷᠬᠦ ᠪᠦᠬᠦᠯᠢ ᠲᠤᠭᠠᠨ ᠴᠤᠭᠯᠠᠷᠠᠯ᠄ ,,,2. ᠲᠠᠷᠠᠭᠠᠬᠢ ᠶᠤᠰᠤᠳᠠᠢ ᠲᠤᠭᠠ ᠨᠤᠭᠤᠳ ᠢ ᠲᠡᠭᠦᠨ ᠦ ᠬᠠᠷᠢᠶᠠᠯᠠᠭᠳᠠᠬᠤ ᠴᠤᠭᠯᠠᠷᠠᠯ ᠤᠨ ᠴᠠᠭᠠᠷᠢᠭ ᠲᠤᠳᠤᠷᠠ ᠲᠠᠭᠯᠠ᠄ ,15 , − 1 9 , −5 , 2 15 , − 13 8 , 0.1 , −5.32 , −80 ,123 , 2.333, ᠡᠶᠡᠷᠬᠦ ᠪᠤᠳᠠᠷᠬᠠᠢ ᠶᠢᠨ ᠲᠤᠭᠠᠨ ᠴᠤᠭᠯᠠᠷᠠᠯ᠄ , ᠰᠦᠭᠡᠷᠬᠦ ᠪᠤᠳᠠᠷᠬᠠᠢ ᠶᠢᠨ ᠲᠤᠭᠠᠨ ᠴᠤᠭᠯᠠᠷᠠᠯ᠄ ,,,3. ᠲᠡᠭ ᠦᠨ ᠲᠤᠬᠠᠢ ᠵᠥᠪ ᠪᠣᠯᠬᠤ ᠨᠢ ︵︶ ,A. 0 ᠨᠢ ᠬᠠᠮᠤᠭ ᠤᠨ ᠪᠠᠭᠠ ᠡᠶᠡᠷᠭᠦ ᠪᠦᠬᠦᠯᠢ ᠲᠤᠭᠠ᠃ ,B. 0 ᠨᠢ ᠬᠠᠮᠤᠭ ᠤᠨ ᠪᠠᠭᠠ ᠶᠤᠰᠤᠳᠠᠢ ᠲᠤᠭᠠ᠃ ,C. 0 ᠨᠢ ᠪᠠᠢᠭᠠᠯᠢ ᠲᠤᠭᠠ ᠪᠢᠰᠢ᠃ ,D. 0 ᠨᠢ ᠡᠶᠡᠷᠭᠦ ᠲᠤᠭᠠ ᠪᠢᠰᠢ ᠮᠦᠷᠳᠡᠭᠡᠨ ᠰᠥᠭᠡᠷᠭᠦ ᠲᠤᠭᠠ ᠴᠤ ᠪᠢᠰᠢ᠃ ,D,4. ᠵᠥᠪ ᠪᠤᠷᠤᠭᠤ ᠶᠢ ᠮᠠᠭᠠᠳᠯᠠ᠄ ,1. 0 ᠨᠢ ᠪᠦᠬᠦᠯᠢ ᠲᠤᠭᠠ᠃ ︵︶ ,2. ᠪᠠᠢᠭᠠᠯᠢ ᠲᠤᠭᠠ ᠨᠢ ᠯᠠᠪᠳᠠᠢ ᠪᠦᠬᠦᠯᠢ ᠲᠤᠭᠠ᠃ ︵︶ ,3. 0 ᠨᠢ ᠯᠠᠪᠳᠠᠢ ᠡᠶᠡᠷᠭᠦ ᠪᠦᠬᠦᠯᠢ ᠲᠤᠭᠠ᠃ ︵︶ ,4. ᠪᠦᠬᠦᠯᠢ ᠲᠤᠭᠠ ᠨᠢ ᠯᠠᠪᠳᠠᠢ ᠪᠠᠢᠭᠠᠯᠢ ᠲᠤᠭᠠ᠃ ︵︶ ,√,√,×︔ ,×︔ , ᠰᠦᠪᠡᠭᠴᠢᠯᠡᠬᠦ᠄ , ᠬᠡᠷᠪᠡ ᠨᠢᠭᠡ ᠦᠰᠦᠭ ᠢᠶᠡᠷ ᠨᠢᠭᠡ ᠲᠤᠭᠠ ᠶᠢ ᠢᠯᠡᠷᠬᠡᠢᠯᠡᠪᠡᠯ᠂ ᠲᠡᠭᠡᠪᠡᠯ 𝑎 ᠨᠢ ᠶᠠᠮᠠᠷ ᠲᠤᠭᠠ ᠪᠣᠯᠬᠤ ᠪᠤᠢ︖ ᠯᠠᠪᠳᠠᠢ ᠡᠶᠡᠷᠭᠦ ᠲᠤᠭᠠ ᠪᠣᠯᠤᠨᠠ ᠤᠤ︖ , ᠳ᠋ᠦᠩᠨᠡᠯᠲᠡ᠄ ,1. ᠶᠤᠰᠤᠳᠠᠢ ᠲᠣᠭᠠᠨ ᠤ ᠲᠤᠳᠤᠷᠬᠠᠢᠯᠠᠯᠳᠠ ,2. ᠶᠤᠰᠤᠳᠠᠢ ᠲᠣᠭᠠᠨ ᠤ ᠲᠥᠷᠦᠯ ᠵᠦᠢᠯ , ᠲᠠᠰᠬᠠᠯ᠄ 16 ᠳ᠋ᠤᠭᠠᠷ ᠨᠢᠭᠤᠷ ᠤᠨ ᠨᠢᠭᠡᠳᠤᠭᠡᠷ ᠰᠡᠳᠤᠪ ,
ᠮᠣᠩᠭᠣᠯ ᠳ᠋ᠣᠺ ᠤᠨ ᠬᠥᠮᠥᠷᠭᠡ