{"id":182,"date":"2023-07-15T11:40:02","date_gmt":"2023-07-15T11:40:02","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e6%9d%9c%e5%8b%92%e6%95%b0\/"},"modified":"2023-07-15T11:40:02","modified_gmt":"2023-07-15T11:40:02","slug":"%e6%9d%9c%e5%8b%92%e6%95%b0","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e6%9d%9c%e5%8b%92%e6%95%b0\/","title":{"rendered":"\u6b27\u62c9\u6570\u662f\u591a\u5c11\uff1f"},"content":{"rendered":"<p><strong>\u6b27\u62c9\u6570<\/strong>\uff08\u4e5f\u79f0\u4e3a\u6b27\u62c9\u5e38\u6570\uff09\u662f\u6570\u5b66\u5404\u4e2a\u9886\u57df\u4e2d\u91cd\u8981\u4e14\u5fc5\u4e0d\u53ef\u5c11\u7684\u6570\u5b66\u6570\uff0c\u5305\u62ec\u6570\u8bba\u3001\u62d3\u6251\u3001\u7fa4\u8bba\u548c\u51fd\u6570\u8bba\u3002\u5b83\u7528\u5e0c\u814a\u5b57\u6bcd\u201ce\u201d\u8868\u793a\uff0c\u5176\u8fd1\u4f3c\u503c\u4e3a2.71828\u3002<\/p>\n<p>\u6570\u5b57 e \u6765\u81ea<strong>\u6307\u6570\u51fd\u6570\u7684<\/strong>\u516c\u5f0f\uff0c\u662f\u590d\u6570\u8bba\u4e2d\u7684\u57fa\u672c\u6570\u3002<\/p>\n<p>\u5b83\u4e5f\u662f\u89e3\u51b3\u8bb8\u591a\u6570\u5b66\u95ee\u9898\u65f6\u51fa\u73b0\u7684\u81ea\u7136\u6570\uff0c\u5305\u62ec\u8ba1\u7b97\u6982\u7387\u4ee5\u53ca\u5bf9\u589e\u957f\u548c\u8870\u51cf\u8fc7\u7a0b\u8fdb\u884c\u5efa\u6a21\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Cual_es_el_origen_del_numero_Euler\">\u6b27\u62c9\u6570\u7684\u7531\u6765\u662f\u4ec0\u4e48\uff1f<\/span><\/h2>\n<p>\u6b27\u62c9\u6570\u4ee5\u745e\u58eb\u6570\u5b66\u5bb6\u83b1\u6602\u54c8\u5fb7\u00b7\u6b27\u62c9\uff08 <strong>Leonhard Euler<\/strong> \uff0c1707-1783\uff09\u7684\u540d\u5b57\u547d\u540d\uff0c\u4ed6\u662f\u6709\u53f2\u4ee5\u6765\u6700\u4f1f\u5927\u7684\u6570\u5b66\u5bb6\u4e4b\u4e00\uff0c\u88ab\u8ba4\u4e3a\u662f\u73b0\u4ee3\u6570\u5b66\u4e4b\u7236\u3002<\/p>\n<p>\u6b27\u62c9\u5bf9\u6570\u5b66\u7684\u8bb8\u591a\u9886\u57df\u505a\u51fa\u4e86\u5b9d\u8d35\u7684\u8d21\u732e\uff0c\u5305\u62ec\u6570\u8bba\u3001\u51e0\u4f55\u3001\u5fae\u79ef\u5206\u3001\u7269\u7406\u5b66\u548c\u5929\u6587\u5b66\u3002<\/p>\n<p>\u4ed6\u5728\u5bf9\u6570\u7684\u8ba1\u7b97\u548c\u7406\u8bba\u8457\u4f5c\u4e2d\u9996\u5148\u5b9a\u4e49\u5e76\u4f7f\u7528\u4e86<strong>\u6570 e<\/strong> \uff08\u79f0\u4e3a\u6b27\u62c9\u6570\uff09\u3002<a href=\"https:\/\/mathority.org\/cn\/\u5fb7\u4f0a\u52d2\u516c\u5f0f\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u6b27\u62c9\u7684\u590d\u6570\u516c\u5f0f<\/a>\u4e5f\u662f\u4ed6\u5bf9\u6570\u5b66\u6700\u663e\u7740\u7684\u8d21\u732e\u4e4b\u4e00\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Como_se_obtiene_este_valor\">\u8fd9\u4e2a\u503c\u662f\u600e\u4e48\u5f97\u5230\u7684\u5462\uff1f<\/span><\/h2>\n<p>\u4e8b\u5b9e\u4e0a\uff0c\u8ba1\u7b97\u6b27\u62c9\u6570\u7684<strong>\u65b9\u6cd5\u6709\u591a\u79cd<\/strong>\u3002\u7136\u800c\uff0c\u503c\u5f97\u4e00\u63d0\u7684\u662f\uff0c\u8fd9\u4e24\u79cd\u65b9\u6cd5\u90fd\u6ca1\u6709\u7ed9\u51fa\u51c6\u786e\u7684\u7ed3\u679c\u3002\u56e0\u6b64\uff0c\u5b83\u7684\u7f16\u53f7\u662f\u8fde\u7eed\u7684\u3001\u65e0\u9650\u7684\uff0c\u4f46\u5e76\u4e0d\u91cd\u590d\u3002<\/p>\n<p>\u4e8b\u5b9e\u4e0a\uff0c\u76ee\u524d\u5df2\u77e5\u8d85\u8fc71\u4e07\u4ebf\u4e2a\u6570\u5b57\u7ec4\u6210\u4e86\u6570\u5b57e\u3002\u5b9a\u4e49\u6b27\u62c9\u6570\u7684\u65e0\u7a77\u7ea7\u6570\u662f\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"237\" height=\"54\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/definition-du-nombre-deuler.webp\" data-src=\"\" alt=\"\u6b27\u62c9\u6570\u7684\u5b9a\u4e49\" class=\"wp-image-11486 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u91d1\u5b50 \u201d\uff01\u201d\u662f\u9636\u4e58\uff0c\u5b83\u88ab\u5b9a\u4e49\u4e3a\u76f4\u5230\u8be5\u6570\u5b57\u7684\u6240\u6709\u81ea\u7136\u6570\u7684\u4e58\u79ef\u3002\u4f8b\u5982\uff1a<\/p>\n<p class=\"has-text-align-center\"> 5\uff01 = 5 4 3 2 1 = 120<\/p>\n<p>\u6211\u4eec\u53ef\u4ee5\u5c06\u8fd9\u4e2a\u7cfb\u5217\u56fe\u5f62\u5316\u5730\u89c6\u4e3a\u4e00\u7cfb\u5217\u9ad8\u5ea6\u4e3a 1 \u4e14\u5bbd\u5ea6\u9012\u51cf\u7684<strong>\u77e9\u5f62\u7684<\/strong>\u603b\u548c\uff0c\u5176\u4e2d\u6bcf\u4e2a\u77e9\u5f62\u7684\u5bbd\u5ea6\u4e3a 1\/n!\uff0c\u5176\u4e2d n \u662f\u9636\u4e58\u7684\u6570\u91cf\u3002<\/p>\n<p>\u5982\u679c\u6211\u4eec\u589e\u52a0\u603b\u548c\u4e2d\u7684\u77e9\u5f62\u6570\u91cf\uff0c\u5219\u6307\u6570\u51fd\u6570\u66f2\u7ebf\u4e0b\u9762\u79ef\u7684\u8fd1\u4f3c\u503c\u4f1a\u8d8a\u6765\u8d8a\u63a5\u8fd1\u6b27\u62c9\u6570\u3002<\/p>\n<p>\u603b\u4e4b\uff0c\u6b27\u62c9\u6570\u662f\u65e0\u9650\u7ea7\u6570\u4e4b\u548c\u7684\u7ed3\u679c\uff0c\u662f\u8bb8\u591a\u6570\u5b66\u9886\u57df\u7684\u57fa\u7840\u3002\u867d\u7136\u5b83\u662f\u4e00\u4e2a<a href=\"https:\/\/mathority.org\/cn\/\u65e0\u7406\u6570\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u65e0\u7406\u6570<\/a>\uff0c\u4f46\u5b83\u7684<strong>\u8fd1\u4f3c\u503c<\/strong>\u4e3a2.71828\u3002<\/p>\n<p>\u91cd\u8981\u7684\u662f\u8981\u8bb0\u4f4f\uff0c\u6b27\u62c9\u81ea\u5df1\u5b9e\u73b0\u4e86\u8fd9\u4e2a\u65b9\u6cd5\u6765\u8ba1\u7b97 e \u5230\u5c0f\u6570\u70b9\u540e 18 \u4f4d\u3002<\/p>\n<p>\u53e6\u4e00\u79cd\u8ba1\u7b97\u65b9\u6cd5\uff1a<\/p>\n<p>\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528<strong>\u4e00\u7cfb\u5217\u6709\u9650\u9879<\/strong>\u6765\u8ba1\u7b97\u4e00\u6761\u7ebf\u4e0a\u6b27\u62c9\u6570\u7684\u8fd1\u4f3c\u503c\u3002\u4f8b\u5982\uff0c\u5982\u679c\u6211\u4eec\u91c7\u7528\u4e0a\u9762\u5b9a\u4e49\u7684\u7b2c\u4e00\u4e2a\u65e0\u9650\u7ea7\u6570\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"237\" height=\"54\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/definition-du-nombre-deuler.webp\" data-src=\"\" alt=\"\u6b27\u62c9\u6570\u7684\u5b9a\u4e49\" class=\"wp-image-11486 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u6dfb\u52a0\u7ea7\u6570\u7684\u7b2c\u4e00\u9879\u6765\u8ba1\u7b97\u8fd1\u4f3c\u503c\u3002\u4f8b\u5982\uff0c\u5982\u679c\u6211\u4eec\u6dfb\u52a0\u524d 6 \u9879\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"324\" height=\"56\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/approximation-du-nombre-deuler.webp\" data-src=\"\" alt=\"\u6b27\u62c9\u6570\u8fd1\u4f3c\" class=\"wp-image-11487 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u6211\u4eec\u53ef\u4ee5\u5c06\u8be5\u5e8f\u5217\u7ed8\u5236\u5728\u4e00\u6761\u7ebf\u4e0a\uff0c\u770b\u770b\u5b83\u5982\u4f55\u63a5\u8fd1\u8fd1\u4f3c\u503c<strong>2.71828<\/strong> \u3002<\/p>\n<p>\u4ece\u56fe\u5f62\u4e0a\u770b\uff0c\u8868\u793a\u6b27\u62c9\u6570\u7684\u7ebf\u53ef\u4ee5\u7ed8\u5236\u4e3a\u4e00\u7cfb\u5217\u9ad8\u5ea6\u4e3a 1\u3001\u5bbd\u5ea6\u9012\u51cf\u7684\u77e9\u5f62\uff0c\u5176\u4e2d\u6bcf\u4e2a\u77e9\u5f62\u7684\u5bbd\u5ea6\u4e3a 1\/n!\uff0c\u5176\u4e2d n \u662f\u9636\u4e58\u7684\u6570\u91cf\u3002<\/p>\n<p>\u5982\u679c\u6211\u4eec\u589e\u52a0\u603b\u548c\u4e2d\u7684\u77e9\u5f62\u6570\u91cf\uff0c\u5219\u6307\u6570\u51fd\u6570\u66f2\u7ebf\u4e0b\u9762\u79ef\u7684\u8fd1\u4f3c\u503c\u4f1a\u8d8a\u6765\u8d8a\u63a5\u8fd1\u6b27\u62c9\u6570\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Ecuaciones_exponenciales_con_el_numero_Euler\">\u5177\u6709\u6b27\u62c9\u6570\u7684\u6307\u6570\u65b9\u7a0b<\/span><\/h2>\n<p>\u5177\u6709\u6b27\u62c9\u6570\u7684\u6307\u6570\u65b9\u7a0b\u53ef\u7528\u4e8e\u5bf9\u7269\u7406\u3001\u751f\u7269\u5b66\u3001\u7ecf\u6d4e\u5b66\u7b49\u79d1\u5b66\u4e2d\u7684\u5404\u79cd\u73b0\u8c61\u8fdb\u884c\u5efa\u6a21\u3002\u8fd9\u91cc\u6709\u4e9b\u4f8b\u5b50\uff1a<\/p>\n<h3 class=\"wp-block-heading\">\u6307\u6570\u589e\u957f\u548c\u8870\u9000<\/h3>\n<p>\u8be5\u6a21\u578b\u63cf\u8ff0\u4e86\u4eba\u53e3<strong>\u589e\u957f\u6216\u4e0b\u964d\u7684<\/strong>\u901f\u5ea6\uff0c\u6216\u6709\u6bd2\u7269\u8d28\u5206\u89e3\u7684\u901f\u5ea6\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u5982\u679c\u4eba\u53e3\u4ee5\u6bcf\u5e74 5% \u7684\u901f\u5ea6\u589e\u957f\uff0c\u5219\u5176\u89c4\u6a21\u53ef\u4ee5\u7528\u4ee5\u4e0b\u516c\u5f0f\u63cf\u8ff0\uff1a<\/p>\n<p> P(t) = P0 \u00b7 e <sup>0.05t<\/sup> \uff0c\u5176\u4e2d P0 \u662f\u521d\u59cb\u79cd\u7fa4\u89c4\u6a21\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u653e\u5c04\u6027\u8870\u53d8\u6a21\u578b<\/h3>\n<p>\u8be5\u6a21\u578b\u63cf\u8ff0\u4e86\u653e\u5c04\u6027\u539f\u5b50\u968f\u65f6\u95f4\u8870\u53d8\u7684\u901f\u7387\u3002<\/p>\n<p>\u516c\u5f0f\u5982\u4e0b\uff1a<\/p>\n<p class=\"has-text-align-center\"> N(t) = N0 e <sup>-\u03bbt<\/sup><\/p>\n<p>\u5176\u4e2d N0 \u662f\u521d\u59cb\u539f\u5b50\u6570\uff0c\u03bb \u662f\u53d6\u51b3\u4e8e\u653e\u5c04\u6027\u7269\u8d28\u7684\u5e38\u6570\uff0ct \u662f\u65f6\u95f4\u3002<\/p>\n<p>\u8fd9\u4e9b\u53ea\u662f\u5982\u4f55\u5728\u5b9e\u8df5\u4e2d\u4f7f\u7528\u5177\u6709\u6b27\u62c9\u6570\u7684\u6307\u6570\u65b9\u7a0b\u7684<strong>\u51e0\u4e2a\u793a\u4f8b<\/strong>\u3002\u6307\u6570\u65b9\u7a0b\u5728\u8bb8\u591a\u5176\u4ed6\u9886\u57df\u4e5f\u662f\u6709\u7528\u4e14\u76f8\u5173\u7684\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Cuales_son_las_aplicaciones_del_numero_Euler\">\u6b27\u62c9\u6570\u6709\u54ea\u4e9b\u5e94\u7528\uff1f<\/span><\/h2>\n<p>\u6b27\u62c9\u6570\u5728\u6570\u5b66\u548c\u79d1\u5b66\u7684\u4e0d\u540c\u9886\u57df\u6709\u7740\u5e7f\u6cdb\u7684\u5e94\u7528\u3002\u4f7f\u7528\u6570\u5b57 e \u7684\u4e00\u4e9b\u5b57\u6bb5\u5305\u62ec\uff1a<\/p>\n<ul>\n<li><strong>\u8ba1\u7b97\u548c\u6570\u5b66\u5206\u6790<\/strong>\uff1a\u7528\u4e8e\u6307\u6570\u51fd\u6570\u548c\u5bf9\u6570\u51fd\u6570\u7684\u7814\u7a76\u4ee5\u53ca\u5fae\u5206\u65b9\u7a0b\u7684\u6c42\u89e3\u3002<\/li>\n<li><strong>\u6570\u8bba<\/strong>\u2014\u2014\u7528\u4e8e\u7814\u7a76\u7d20\u6570\u7684\u5206\u5e03\u548c\u89e3\u51b3\u4e0e\u6570\u8bba\u76f8\u5173\u7684\u95ee\u9898\u3002<\/li>\n<li><strong>\u6982\u7387\u4e0e\u7edf\u8ba1<\/strong>\uff1a\u7528\u4e8e\u89e3\u51b3\u4e0e\u6982\u7387\u5206\u5e03\u548c\u4f30\u8ba1\u671f\u671b\u503c\u76f8\u5173\u7684\u95ee\u9898\u3002<\/li>\n<li><strong>\u5bc6\u7801\u5b66<\/strong>\u2014\u2014\u7528\u4e8e\u52a0\u5bc6\u548c\u89e3\u5bc6\u7b97\u6cd5\u7684\u7814\u7a76\u3002<\/li>\n<li><strong>\u7269\u7406\u5b66<\/strong>\u2014\u2014\u7528\u4e8e\u89e3\u51b3\u4e0e\u70ed\u529b\u5b66\u3001\u91cf\u5b50\u529b\u5b66\u548c\u7edf\u8ba1\u7269\u7406\u5b66\u76f8\u5173\u7684\u95ee\u9898\u3002<\/li>\n<li><strong>\u5316\u5b66<\/strong>\uff1a\u7528\u4e8e\u89e3\u51b3\u4e0e\u5316\u5b66\u70ed\u529b\u5b66\u548c\u5316\u5b66\u52a8\u529b\u5b66\u76f8\u5173\u7684\u95ee\u9898\u3002<\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span id=\"Formula_de_Euler_para_numeros_complejos\">\u6b27\u62c9\u590d\u6570\u516c\u5f0f<\/span><\/h2>\n<p>\u6b27\u62c9<a href=\"https:\/\/mathority.org\/cn\/\u590d\u6570\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u590d\u6570<\/a>\u516c\u5f0f\u5efa\u7acb\u4e86\u4e09\u89d2\u51fd\u6570\u548c\u6307\u6570\u51fd\u6570\u4e4b\u95f4\u7684\u5173\u7cfb\u3002\u516c\u5f0f\u5199\u4e3a\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"280\" height=\"95\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/la-formule-deuler.webp\" data-src=\"\" alt=\"\u6b27\u62c9\u516c\u5f0f\" class=\"wp-image-11051 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u5176\u4e2d\u201ce\u201d\u662f\u81ea\u7136\u5bf9\u6570\u7684\u5e95\u6570\uff0c\u201ci\u201d\u662f\u865a\u6570\u5355\u4f4d\uff0c\u201cx\u201d\u662f\u5b9e\u6570\uff0c\u201ccos\u201d\u548c\u201csin\u201d\u5206\u522b\u662f\u4e09\u89d2\u51fd\u6570\u4f59\u5f26\u548c\u6b63\u5f26\u3002<\/p>\n<p>\u8fd9\u4e2a\u516c\u5f0f\u5728\u6570\u5b66\u7684\u8bb8\u591a\u9886\u57df\u90fd\u975e\u5e38\u6709\u7528\uff0c\u5305\u62ec\u6570\u8bba\u3001\u51fd\u6570\u8bba\u548c\u590d\u6742\u6027\u7406\u8bba\uff0c\u5e76\u4e14\u5728\u5de5\u7a0b\u3001\u7269\u7406\u548c\u7ecf\u6d4e\u5b66\u4e2d\u6709\u5e7f\u6cdb\u7684\u5e94\u7528\u3002<\/p>\n<p>\u5176\u4f7f\u7528\u7684\u4e00\u4e2a\u5b9e\u9645\u793a\u4f8b\u662f\u5085\u7acb\u53f6\u5206\u6790\u4e2d<strong>\u4fe1\u53f7\u548c\u7cfb\u7edf\u7684\u8868\u793a<\/strong>\uff0c\u5176\u4e2d\u5468\u671f\u4fe1\u53f7\u88ab\u8868\u793a\u4e3a\u590d\u6570\u6b63\u5f26\u4fe1\u53f7\u7684\u603b\u548c\u3002<\/p>\n<p>\u6b27\u62c9\u516c\u5f0f\u7528\u4e8e\u63cf\u8ff0\u8fd9\u4e9b\u590d\u6742\u4fe1\u53f7\u5982\u4f55\u4e0e\u63cf\u8ff0\u5404\u4e2a\u6b63\u5f26\u4fe1\u53f7\u7684\u5b9e\u9645\u4e09\u89d2\u51fd\u6570\u76f8\u5173\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"El_numero_Euler_y_el_interes_compuesto\">\u6b27\u62c9\u6570\u548c\u590d\u5229<\/span><\/h2>\n<p><a href=\"https:\/\/mathority.org\/cn\/\u590d\u5229\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u590d\u5229<\/a>\u662f\u4e00\u4e2a<strong>\u91d1\u878d\u6982\u5ff5<\/strong>\uff0c\u63cf\u8ff0\u4e86\u4e00\u7b14\u79f0\u4e3a\u672c\u91d1\u7684\u8d44\u91d1\u901a\u8fc7\u968f\u65f6\u95f4\u589e\u52a0\u7684\u5229\u606f\u8d5a\u53d6\u5229\u606f\u7684\u8fc7\u7a0b\u3002<\/p>\n<p>\u6362\u53e5\u8bdd\u8bf4\uff0c\u6295\u8d44\u8d5a\u53d6\u7684\u5229\u606f\u4e0d\u4ec5\u6765\u81ea\u521d\u59cb\u8d44\u672c\uff0c\u8fd8\u6765\u81ea\u524d\u671f\u8d5a\u53d6\u7684\u5229\u606f\u3002<\/p>\n<p>\u6b27\u62c9\u6570\u548c\u590d\u5229\u76f8\u5173\uff0c\u56e0\u4e3a\u8ba1\u7b97\u590d\u5229\u7684\u516c\u5f0f\u4f7f\u7528\u6b27\u62c9\u6570\u3002<strong>\u590d\u5229\u7684\u516c\u5f0f<\/strong>\u4e3a\uff1a<\/p>\n<p class=\"has-text-align-center\"> A =<sup>\u73c0\u5c14\u7279<\/sup><\/p>\n<p>\u5176\u4e2dA\u662f\u6700\u7ec8\u91d1\u989d\uff0cP\u662f\u672c\u91d1\uff0cr\u662f\u5229\u7387\uff0ct\u662f\u65f6\u95f4\uff0ce\u662f\u6b27\u62c9\u6570\u3002\u8fd9\u6837\uff0c\u6b27\u62c9\u6570\u5c31\u6210\u4e3a\u8ba1\u7b97\u590d\u5229\u7684\u6570\u5b66\u516c\u5f0f\u4e2d\u7684\u4e00\u4e2a\u91cd\u8981\u56e0\u7d20\u3002<\/p>\n<p>\u7528\u5177\u4f53\u6570\u5b57\u8ba1\u7b97\u590d\u5229\u7684\u4e00\u4e2a\u4f8b\u5b50\u662f\uff1a<\/p>\n<p>\u5047\u8bbe\u6211\u4eec\u6709 1,000 \u6b27\u5143\u7684\u6295\u8d44\uff0c\u5e74\u5229\u7387\u4e3a 5%\uff0c\u4e3a\u671f 2 \u5e74\u3002\u8ba1\u7b97\u590d\u5229\u7684\u516c\u5f0f\u4e3a\uff1a<\/p>\n<p class=\"has-text-align-center\"> A = P e <sup>rt<\/sup> = 1000 e <sup>0.05 2<\/sup> = 1000 1.1025 = \u20ac1102.5\u3002<\/p>\n<p>\u8fd9\u610f\u5473\u7740 2 \u5e74\u540e\uff0c\u7531\u4e8e\u4ea7\u751f\u7684\u590d\u5229\uff0c\u6211\u4eec\u7684\u521d\u59cb\u8d44\u672c 1,000 \u6b27\u5143\u5c06\u589e\u52a0\u5230 1,102.5 \u6b27\u5143\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Ejemplos_de_ejercicios_matematicos_con_el_numero_Euler\">\u6b27\u62c9\u6570\u7684\u6570\u5b66\u7ec3\u4e60\u793a\u4f8b<\/span><\/h2>\n<p>\u4ee5\u4e0b\u662f\u6d89\u53ca\u6b27\u62c9\u6570\u7684<strong>\u5df2\u89e3\u51b3\u6570\u5b66\u95ee\u9898<\/strong>\u7684\u4e24\u4e2a\u793a\u4f8b\uff1a<\/p>\n<p> 1. \u6c42\u201ce <sup>ix<\/sup> \u201d\u7684\u503c\uff0c\u5176\u4e2d x \u662f\u5b9e\u6570\uff1a<\/p>\n<p>\u6b27\u62c9\u6052\u7b49\u5f0f\u544a\u8bc9\u6211\u4eec e <sup>ix<\/sup> = cos(x) + i \u00b7 sin(x)\u3002\u56e0\u6b64\uff0c\u5982\u679c\u6211\u4eec\u77e5\u9053 x \u7684\u503c\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u4f7f\u7528\u4e09\u89d2\u51fd\u6570\u8ba1\u7b97 e <sup>ix<\/sup>\u7684\u503c\u3002<\/p>\n<p> 2. \u5bf9\u4e8e\u7ed9\u5b9a\u7684 x \u503c\u8ba1\u7b97 e^(x <sup>2<\/sup> )\uff1a<\/p>\n<p>\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u6cf0\u52d2\u7ea7\u6570\u6765\u8ba1\u7b97 e^(x <sup>2<\/sup> ) \u7684\u503c\u3002 e <sup>x<\/sup>\u7684\u6cf0\u52d2\u7ea7\u6570\u662f\u65e0\u9650\u5c55\u5f00\u5f0f\uff0c\u53ef\u4ee5\u6839\u636e\u6240\u4f7f\u7528\u7684\u672f\u8bed\u8ba1\u7b97 e <sup>x<\/sup>\u503c\u7684\u9010\u6b21\u8fd1\u4f3c\u503c\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"332\" height=\"72\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/serie-de-taylor-pour-la-fonction-exponentielle.webp\" data-src=\"\" alt=\"\u6307\u6570\u51fd\u6570\u7684\u6cf0\u52d2\u7ea7\u6570\" class=\"wp-image-11053 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u5982\u679c\u6211\u4eec\u7528 x <sup>2<\/sup>\u4ee3\u66ff\u8fd9\u4e2a\u7ea7\u6570\u4e2d\u7684 x\uff0c\u6211\u4eec\u5c31\u5f97\u5230 e^(x <sup>2<\/sup> ) \u7684\u6cf0\u52d2\u7ea7\u6570\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6b27\u62c9\u6570\uff08\u4e5f\u79f0\u4e3a\u6b27\u62c9\u5e38\u6570\uff09\u662f\u6570\u5b66\u5404\u4e2a\u9886\u57df\u4e2d\u91cd\u8981\u4e14\u5fc5\u4e0d\u53ef\u5c11\u7684\u6570\u5b66\u6570\uff0c\u5305\u62ec\u6570\u8bba\u3001\u62d3\u6251\u3001\u7fa4\u8bba\u548c\u51fd\u6570\u8bba\u3002\u5b83\u7528\u5e0c\u814a\u5b57\u6bcd\u201ce &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e6%9d%9c%e5%8b%92%e6%95%b0\/\"> <span class=\"screen-reader-text\">\u6b27\u62c9\u6570\u662f\u591a\u5c11\uff1f<\/span> \u67e5\u770b\u5168\u6587 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[9,26],"tags":[],"class_list":["post-182","post","type-post","status-publish","format-standard","hentry","category-9","category-26"],"yoast_head":"<!-- This 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