{"id":375,"date":"2019-11-18T16:57:20","date_gmt":"2019-11-18T08:57:20","guid":{"rendered":"https:\/\/www.overwatchss.club\/?p=375"},"modified":"2019-11-18T16:57:21","modified_gmt":"2019-11-18T08:57:21","slug":"%e7%9f%a9%e9%98%b5%e8%ae%ba%e7%ac%ac%e4%b8%80%e7%ab%a0-%e7%ba%bf%e6%80%a7%e7%a9%ba%e9%97%b4","status":"publish","type":"post","link":"https:\/\/www.overwatchss.club\/?p=375","title":{"rendered":"\u77e9\u9635\u8bba\u7b2c\u4e00\u7ae0\u2014\u2014\u2014\u2014\u7ebf\u6027\u7a7a\u95f4"},"content":{"rendered":"\n<p class=\"has-background has-text-align-center has-very-light-gray-background-color\"><strong>1.1\u96c6\u5408\u4e0e\u6620\u5c04<\/strong><\/p>\n\n\n\n<p><strong>\u96c6\u5408\u7684\u5b9a\u4e49<\/strong>\uff1a\u7528\u6765\u8868\u793a\u4e00\u5b9a<strong>\u4e8b\u7269\u7684\u96c6\u4f53<\/strong>\u79f0\u4e4b\u4e3a<strong>\u96c6\u5408<\/strong>\uff0c\u7ec4\u6210<strong>\u96c6\u5408\u7684\u5185\u5bb9<\/strong>\u79f0\u4e4b\u4e3a\u96c6\u5408\u7684<strong>\u5143\u7d20<\/strong>\u3002<br>\u4f8b\u5982\uff1aa\u662f\u96c6\u5408A\u7684\u5143\u7d20\uff0c\u5219\u79f0a\u5c5e\u4e8eA\uff0c\u8bb0\u4f5c\uff1aa\u2208A\uff0c\u5426\u5219\u5c31\u662fa\u2209A\u3002<br><strong>\u4e0d\u542b\u6709\u4efb\u4f55\u5143\u7d20\u7684\u96c6\u5408\u79f0\u4e3a\u7a7a\u96c6\u5408\u3002<\/strong>\u8bb0\u4f5c\uff1a<strong>\u2205<\/strong> \u3002<\/p>\n\n\n\n<p class=\"has-text-color has-pale-pink-color\">\u5e38\u89c1\u96c6\u5408\u5b57\u6bcd\u4ee3\u8868\u7684\u542b\u4e49\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><strong>N<\/strong>\u4e3a\u5168\u4f53\u81ea\u7136\u6570\u7ec4\u6210\u7684\u96c6\u5408<\/li><li><strong>Z<\/strong>\u4e3a\u5168\u4f53\u6574\u6570\u4ee3\u8868\u7684\u96c6\u5408<\/li><li><strong>Q<\/strong>\u4e3a\u5168\u4f53\u6709\u7406\u6570\u4ee3\u8868\u7684\u96c6\u5408<\/li><li><strong>R<\/strong>\u4e3a\u5168\u4f53\u5b9e\u6570\u7ec4\u6210\u7684\u96c6\u5408<\/li><li><strong>C<\/strong>\u4e3a\u5168\u4f53\u590d\u6570\u7ec4\u6210\u7684\u96c6\u5408<\/li><\/ul>\n\n\n\n<p><strong>\u5b50\u96c6\uff0c\u4ea4\u96c6\uff0c\u5dee\u96c6\uff0c\u5e76\u96c6<\/strong>\uff0c<strong>\u5408\u96c6\uff0c\u79ef<\/strong><\/p>\n\n\n\n<p>A\u662fB\u7684\u5b50\u96c6\uff1aA \u2286 B\uff0cA\u4e0eB\u7684\u4ea4\u96c6\uff1aA \u2229 B\uff0cA\u4e0eB\u7684\u5e76\u96c6\uff1aA\u222aB\uff0cA\u4e0eB\u7684\u5dee\u96c6\uff1aA-B={x|x\u2208A\u4e14x\u2209B}\uff0cA\u4e0eB\u7684\u5408\u96c6\uff1aA+B={a+b|a\u2208A,b\u2208B}\uff0cA\u4e0eB\u7684\u79ef\uff1aA\u00d7B={(a,b)&lt;\u8fd9\u662f\u5185\u79ef>|a\u2208A,b\u2208B}\u3002<\/p>\n\n\n\n<p class=\"has-text-color has-pale-pink-color\"><strong>1.1.1 \u6620\u5c04\u7684\u6982\u5ff5<\/strong><\/p>\n\n\n\n<p>A\uff0cB\u4e24\u4e2a\u975e\u7a7a\u96c6\u5408\uff0c<font color=\"#f78da7\">\u901a\u8fc7\u4e00\u4e2a\u5bf9\u5e94\u7684\u6cd5\u5219\u4f7f\u5f97\u96c6\u5408A\u4e2d\u7684\u6bcf\u4e00\u4e2a\u5143\u7d20x\u90fd\u6709\u96c6\u5408B\u4e2d\u7684\u4e00\u4e2a\u552f\u4e00\u7684\u5143\u7d20y\u786e\u5b9a<\/font>\uff0c\u8bb0\u4f5cf\uff1aA\u27a1B(\u8868\u793af\u662fA\u5230B\u7684\u4e00\u4e2a\u6620\u5c04)\u3002<br>\u5982\u679cA\u7684\u5143\u7d20x\u5bf9\u5e94\u7684\u662fB\u7684\u5143\u7d20\u662fy\uff0c\u5219\u8bb0\u4f5cf(x)=y\u3002<font color=\"#DC143C\"><strong>\u5176\u4e2dy\u53eb\u505a\u5143\u7d20x\u5728f\u4e0b\u7684\u8c61\uff0cx\u53eb\u505ay\u5728f\u4e0b\u7684\u539f\u8c61\u3002<\/strong><\/font>A\u5728f\u4e0b\u7684\u8c61\u7684\u96c6\u5408\u8bb0\u4f5cf(A)={f(x) | x\u2208A}\u3002<\/p>\n\n\n\n<p>1.1.2 \u6620\u5c04\u76f8\u7b49<\/p>\n\n\n\n<p>\u8bbeg\u3001f\u90fd\u662fA\u5230B\u7684\u6620\u5c04\uff0c\u5982\u679c \u2200 x\u2208A\uff0c\u90fd\u6709f(x) = g(x)\uff0c\u5219\u79f0\u6620\u5c04f\u4e0eg\u76f8\u7b49\u3002<\/p>\n\n\n\n<p>1.1.3 \u6ee1\u5c04<\/p>\n\n\n\n<p>\u8bbef\u662fA\u5230B\u7684\u4e00\u4e2a\u6620\u5c04\uff0c\u5982\u679cf(A) = B\uff0c\u5219\u79f0f\u662f\u6ee1\u5c04\u3002<\/p>\n\n\n\n<p>1.1.4 \u5355\u5c04<\/p>\n\n\n\n<p class=\"has-normal-font-size\">\u8bbef\u662fA\u5230B\u7684\u4e00\u4e2a\u6620\u5c04\u3002\u5982\u679c\u5bf9\u4e8eA\u4e2d\u7684\u4efb\u610f\u4e24\u4e2a\u5143\u7d20X<sub>1<\/sub>\u548cX<sub>2<\/sub>\u5f53X<sub>1<\/sub>\u2260X<sub>2<\/sub>\u65f6\uff0c\u6709f(X<sub>1<\/sub>)\u2260f(X<sub>2<\/sub>)\uff0c\u5219f\u662f\u4e00\u4e2a\u5355\u5c04\u3002<\/p>\n\n\n\n<p>1.1.5 f\u65e2\u662f\u5355\u5c04\u53c8\u662f\u6ee1\u5c04<\/p>\n\n\n\n<p>\u6ee1\u8db3\u4e24\u4e2a\u6761\u4ef6\uff1a1. f(A) = B\u30022.   \u2200 X<sub>1<\/sub>,X<sub>2<\/sub>\u2208A\uff0c\u82e5 f(X<sub>1<\/sub>)=f(X<sub>2<\/sub>)\uff0cX<sub>1<\/sub>=X<sub>2<\/sub> \u3002<\/p>\n\n\n\n<p style=\"color:#e61818\" class=\"has-text-color has-background has-text-align-center has-very-light-gray-background-color\"><strong>1.2\u7ebf\u6027\u7a7a\u95f4\u53ca\u5176\u6027\u8d28<\/strong><\/p>\n\n\n\n<p class=\"has-text-color has-pale-pink-color\">1.2.1 \u7ebf\u6027\u7a7a\u95f4\u7684\u5b9a\u4e49<\/p>\n\n\n\n<p>\u8bbeP\u662f\u4e00\u4e2a\u6570\u57df\uff0cP\u4e2d\u7684\u5143\u7d20\u7528a\uff0cb\uff0cc\u6765\u8868\u793a\uff0c\u4ee4V\u662f\u4e00\u4e2a\u975e\u7a7a\u96c6\u5408\uff0cV\u4e2d\u7684\u5143\u7d20\u7528\u03b1\uff0c\u03b2\uff0c\u03b3\u6765\u8868\u793a\u3002<strong>\u6211\u4eec\u628aV\u4e2d\u7684\u5143\u7d20\u79f0\u4e3a\u5411\u91cf\uff0cP\u4e2d\u7684\u5143\u7d20\u79f0\u4e3a\u7eaf\u91cf\u3002<\/strong>\u5982\u679c\u6ee1\u8db3\uff1a<br><strong><font color=\"#f78da7\">1\uff1a\u5bf9\u4e8eV\u4e2d\u4efb\u610f\u4e24\u4e2a\u5411\u91cf\u03b1\u548c\u03b2\uff0c\u4f7f\u5f97\u03b1+\u03b2\u6709V\u4e2d\u4e00\u4e2a\u552f\u4e00\u786e\u5b9a\u7684\u5411\u91cf\u4e0e\u4ed6\u4eec\u5bf9\u5e94\uff0c\u8fd9\u4e2a\u5411\u91cf\u662f\u03b1\u548c\u03b2\u7684\u548c\uff0c\u8bb0\u4f5c\u03b1+\u03b2\uff1b<br>2\uff1a\u5bf9\u4e8eP\u4e2d\u6bcf\u4e00\u4e2a\u7eaf\u91cfa\u548cV\u4e2d\u6bcf\u4e00\u4e2a\u5411\u91cf\u03b1\uff0c\u4f7f\u5f97a\u4e58\u4e0a\u03b1\u6709V\u4e2d\u4e00\u4e2a\u552f\u4e00\u786e\u5b9a\u7684\u5411\u91cf\u4e0e\u4ed6\u4eec\u5bf9\u5e94\uff0c\u8fd9\u4e2a\u5411\u91cf\u53eb\u505aa\u4e0e\u03b1\u7684\u79ef\uff0c\u8bb0\u4f5ca\u03b1\uff1b<\/font><\/strong><\/p>\n\n\n\n<p class=\"has-text-color has-vivid-red-color\"><strong>\u9a8c\u8bc1\u662f\u5426\u6ee1\u8db3\u7ebf\u6027\u7a7a\u95f4\u5c31\u662f\u68c0\u9a8c\u662f\u5426\u6ee1\u8db3\u52a0\u6cd5\u548c\u4e58\u6cd5\u3002<\/strong><\/p>\n\n\n\n<p class=\"has-text-color has-vivid-red-color\">1.2.2 \u8fd0\u7b97\u5f8b<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><strong>\u03b1,\u03b2,\u03b3\u662fV\u4e2d\u4efb\u610f\u5411\u91cf\uff0ca.b\u662fP\u4e2d\u7684\u7eaf\u91cf<\/strong><\/li><li>\u03b1+\u03b2 = \u03b2+\u03b1<\/li><li>(\u03b1+\u03b2)+\u03b3 = \u03b1+(\u03b2+\u03b3)<\/li><li>V\u4e2d\u5b58\u5728\u4e00\u4e2a\u96f6\u5411\u91cf\uff0c\u8bb0\u4f5c<strong>0<\/strong>\uff0c\u5219<strong>0<\/strong>+\u03b1 = \u03b1<\/li><li>\u5bf9\u4e8eV\u4e2d\u7684\u6bcf\u4e00\u4e2a\u03b1\uff0c\u5728V\u4e2d\u5b58\u5728\u4e00\u4e2a\u03b1'\uff0c\u4f7f\u5f97\u03b1+\u03b1' = 0\uff0c\u03b1'\u79f0\u4e3a\u8d1f\u5411\u91cf\uff0c\u03b1' = -\u03b1<\/li><li>a(\u03b1+\u03b2) = a\u03b1+a\u03b2<\/li><li>(a+b)\u03b1 = a\u03b1+b\u03b1<\/li><li>(ab)\u03b1 = a(b\u03b1)<\/li><li>1\u00b7\u03b1 = \u03b1<\/li><li>\u5411\u91cf\u7684\u5dee\uff1a\u03b1-\u03b2<\/li><li>0\u03b1 = 0\uff0c\u03b10 = 0<\/li><li>a(-\u03b1) = (-a)\u03b1 = -a\u03b1<\/li><li>a\u03b1 = 0 ==> a=0\u6216\u8005\u03b1=0<\/li><li>\u03b1+\u03b2 = \u03b3 &lt;==> \u03b1 = \u03b3-\u03b2<\/li><\/ul>\n\n\n\n<p>1.2.3 \u96f6\u5411\u91cf<\/p>\n\n\n\n<p>\u5728\u7ebf\u6027\u7a7a\u95f4V\u4e2d\uff0c\u96f6\u5411\u91cf\u662f\u552f\u4e00\u7684\uff1b\u5bf9\u4e8eV\u4e2d\u7684\u4efb\u610f\u5411\u91cf\u03b1\uff0c\u5176\u8d1f\u5411\u91cf\u4e5f\u662f\u552f\u4e00\u7684\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u77e9\u9635\u8bba\u7b2c\u4e00\u7ae0\uff0c\u91cd\u70b9\u5728\u7ebf\u6027\u7a7a\u95f4<\/p>\n","protected":false},"author":1,"featured_media":379,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"emotion":"","emotion_color":"","title_style":"","license":"","footnotes":""},"categories":[29,34],"tags":[47,46,35,45,44],"class_list":["post-375","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-29","category-34","tag-47","tag-46","tag-35","tag-45","tag-44"],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.overwatchss.club\/index.php?rest_route=\/wp\/v2\/posts\/375","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.overwatchss.club\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.overwatchss.club\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.overwatchss.club\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.overwatchss.club\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=375"}],"version-history":[{"count":0,"href":"https:\/\/www.overwatchss.club\/index.php?rest_route=\/wp\/v2\/posts\/375\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.overwatchss.club\/index.php?rest_route=\/wp\/v2\/media\/379"}],"wp:attachment":[{"href":"https:\/\/www.overwatchss.club\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=375"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.overwatchss.club\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=375"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.overwatchss.club\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=375"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}