{"id":2113,"date":"2024-07-19T19:07:16","date_gmt":"2024-07-19T11:07:16","guid":{"rendered":"http:\/\/zhang.mba\/?p=2113"},"modified":"2024-07-19T19:26:12","modified_gmt":"2024-07-19T11:26:12","slug":"yi-yuan-er-ci-fang-cheng-pao-wu-xian-de-ding-dian","status":"publish","type":"post","link":"https:\/\/zhang.mba\/index.php\/2024\/07\/19\/19\/07\/16\/2113\/yi-yuan-er-ci-fang-cheng-pao-wu-xian-de-ding-dian\/%e9%ab%98%e7%ad%89%e6%95%b0%e5%ad%a6\/zhangzhiqi\/","title":{"rendered":"\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u629b\u7269\u7ebf\u7684\u9876\u70b9\u5750\u6807\u63a8\u5bfc"},"content":{"rendered":"

\u5bf9\u4e8e\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u7684\u6807\u51c6\u5f62\u5f0f\uff1a
\n$$ ax^2 + bx + c = 0 $$<\/p>\n

\u5176\u5bf9\u5e94\u7684\u629b\u7269\u7ebf\u65b9\u7a0b\u4e3a\uff1a
\n$$ y = ax^2 + bx + c $$<\/p>\n

## \u5b8c\u6210\u5e73\u65b9\u6cd5\u63a8\u5bfc\u8fc7\u7a0b<\/p>\n

1. \u5c06\u65b9\u7a0b\u8f6c\u6362\u4e3a\u4fbf\u4e8e\u5b8c\u6210\u5e73\u65b9\u7684\u5f62\u5f0f\uff1a
\n $$ y = a\\left( x^2 + \\frac{b}{a}x \\right) + c $$<\/p>\n

2. \u5b8c\u6210\u5e73\u65b9\uff1a
\n $$ x^2 + \\frac{b}{a}x = \\left( x + \\frac{b}{2a} \\right)^2 – \\left( \\frac{b}{2a} \\right)^2 $$<\/p>\n

3. \u5c06\u5b8c\u6210\u5e73\u65b9\u540e\u7684\u8868\u8fbe\u5f0f\u4ee3\u56de\u539f\u65b9\u7a0b\uff1a
\n $$ y = a \\left[ \\left( x + \\frac{b}{2a} \\right)^2 – \\left( \\frac{b}{2a} \\right)^2 \\right] + c $$<\/p>\n

4. \u5c55\u5f00\u5e76\u7b80\u5316\uff1a
\n $$ y = a \\left( x + \\frac{b}{2a} \\right)^2 – a \\left( \\frac{b}{2a} \\right)^2 + c $$
\n $$ y = a \\left( x + \\frac{b}{2a} \\right)^2 – \\frac{b^2}{4a} + c $$<\/p>\n

## \u9876\u70b9\u516c\u5f0f<\/p>\n

\u7531\u6b64\u53ef\u89c1\uff0c\u629b\u7269\u7ebf\u7684\u9876\u70b9\u5750\u6807 $(h, k)$ \u4e3a\uff1a
\n$$ h = -\\frac{b}{2a} $$
\n$$ k = -\\frac{b^2}{4a} + c $$<\/p>\n

\u56e0\u6b64\uff0c\u629b\u7269\u7ebf\u7684\u9876\u70b9\u5750\u6807\u4e3a\uff1a
\n$$ \\left( -\\frac{b}{2a}, -\\frac{b^2}{4a} + c \\right) $$<\/p>\n\n

<\/div>","protected":false},"excerpt":{"rendered":"

\u5bf9\u4e8e\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u7684\u6807\u51c6\u5f62\u5f0f\uff1a $$ ax^2 + bx + c = 0 $$ \u5176\u5bf9\u5e94\u7684\u629b\u7269\u7ebf\u65b9\u7a0b\u4e3a\uff1a $$ y = ax^2 + bx + c $$ ## \u5b8c\u6210\u5e73\u65b9\u6cd5\u63a8\u5bfc\u8fc7\u7a0b 1. \u5c06\u65b9\u7a0b\u8f6c\u6362\u4e3a\u4fbf\u4e8e\u5b8c\u6210\u5e73\u65b9\u7684\u5f62\u5f0f\uff1a $$ y = a\\left( x^2 + \\frac{b}{a}x \\right) + c $$ 2. \u5b8c\u6210\u5e73\u65b9\uff1a $$ x^ …<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_bbp_topic_count":0,"_bbp_reply_count":0,"_bbp_total_topic_count":0,"_bbp_total_reply_count":0,"_bbp_voice_count":0,"_bbp_anonymous_reply_count":0,"_bbp_topic_count_hidden":0,"_bbp_reply_count_hidden":0,"_bbp_forum_subforum_count":0},"categories":[20],"tags":[59],"_links":{"self":[{"href":"https:\/\/zhang.mba\/index.php\/wp-json\/wp\/v2\/posts\/2113"}],"collection":[{"href":"https:\/\/zhang.mba\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/zhang.mba\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/zhang.mba\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/zhang.mba\/index.php\/wp-json\/wp\/v2\/comments?post=2113"}],"version-history":[{"count":0,"href":"https:\/\/zhang.mba\/index.php\/wp-json\/wp\/v2\/posts\/2113\/revisions"}],"wp:attachment":[{"href":"https:\/\/zhang.mba\/index.php\/wp-json\/wp\/v2\/media?parent=2113"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/zhang.mba\/index.php\/wp-json\/wp\/v2\/categories?post=2113"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/zhang.mba\/index.php\/wp-json\/wp\/v2\/tags?post=2113"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}