璁洪珮绛夋暟瀛︿箣鏋侀檺鎬濇兂
銆愭憳瑕併�戞瀬闄愭槸楂樼瓑鏁板鏈�鍩烘湰鐨勬蹇典箣涓�锛屾瀬闄愭�濇兂鏄繎浠ｆ暟瀛︾殑涓�绉嶅緢閲嶈鐨勬暟瀛︽�濇兂锛屾槸鐢ㄦ瀬闄?/p>
姒傚康鍒嗘瀽闂鍜岃В鍐抽棶棰樼殑涓�绉嶆暟瀛︽�濇兂锛屾湰鏂囦粠鏋侀檺鐨勫畾涔夈�佹瀬闄愭�濇兂鐨勪环鍊笺�佹暀瀛︿腑濡備綍娓楅�忔瀬闄愭�濇兂
鍑犱釜鏂归潰杩涜浜嗙畝瑕佽杩般�?/p>
銆愬叧閿瘝銆戦珮绛夋暟瀛︼紱鏋侀檺锛涙瀬闄愭�濇兂锛涙暀瀛?/p>
Abstract
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The limit is one of the most basic concepts in advanced mathematics. Limit thought
is very important mathematical thought in modern mathematics. It is to analyze and solve
problems using the concept of limit. This paper discusses some aspects including the Definition
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the value
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and the ways of infiltrating the limit thought in Teaching.
Key words
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Advanced mathematics
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Limit The limit thought Teaching
1
銆佹瀬闄愮殑姒傚康
1.1
鏁板垪鏋侀檺锛氳
涓轰竴涓暟鍒楋紝
a
涓轰竴甯告暟锛岃嫢
锛屾�诲瓨鍦ㄤ竴涓鏁存暟
N
锛屼娇寰楀綋
鏃讹紝鏈?/p>
锛岀О
a
鏄暟
鍒?/p>
鐨勬瀬闄愩�?/p>
1.2
鍑芥暟鏋侀檺锛氬嚱鏁?/p>
鍦ㄧ偣
a
鐨勬煇鍘诲績閭诲煙鍐呮湁瀹氫箟锛?/p>
A
涓哄父鏁帮紝鑻?/p>
锛屾�诲瓨鍦ㄤ竴涓鏁?/p>
锛屼娇寰楀綋
鏃讹紝
鏈?/p>
锛岀О
A
鏄綋
x
瓒嬪悜浜?/p>
a
鏃跺嚱鏁?/p>
鐨勬瀬闄愩�?/p>
鍑轰簬涓嶅悓闇�瑕侊紝杩樺紩杩涗簡涓嶅悓鎰忎箟涓嬬殑鏋侀檺姒傚康锛屾瘮濡傚湪闆嗚涓紩杩涗簡闆嗗垪鐨勪笂銆佷笅鏋侀檺鐨勬蹇碉紝鍦ㄦ棤
绌风骇鏁拌涓紩杩涚骇鏁扮粷瀵规敹鏁涗笌鏉′欢鏀舵暃鐨勬蹇碉紝浠ュ強鍦ㄥ嚱鏁伴�艰繎璁轰腑寮曡繘浜嗕竴鑷撮�艰繎銆佸钩鍧囬�艰繎绛夌殑鏋侀檺
姒傚康
.
鏃犺鎬庢牱瀹氫箟锛屾湰璐ㄩ兘鏄竴鏍风殑锛岄兘鏄粠鏈夐檺瑙傚康鍙戝睍鍒版棤闄愯蹇电殑杩囩▼銆?/p>
2
銆佹瀬闄愭�濇兂鐨勪环鍊?/p>