{"id":806240,"date":"2024-12-17T16:07:40","date_gmt":"2024-12-17T08:07:40","guid":{"rendered":"https:\/\/www.youtupa.com\/gonglue\/806240.html"},"modified":"2024-12-18T03:23:18","modified_gmt":"2024-12-17T19:23:18","slug":"%e5%88%86%e5%bc%8f%e7%9a%84%e4%b9%98%e6%96%b9%e5%92%8c%e4%b9%98%e6%96%b9%e6%b3%95%e5%88%99","status":"publish","type":"post","link":"https:\/\/www.youtupa.com\/gonglue\/806240.html","title":{"rendered":"\u5206\u5f0f\u7684\u4e58\u65b9\u548c\u4e58\u65b9\u6cd5\u5219"},"content":{"rendered":"
\"\u5206\u5f0f\u7684\u4e58\u65b9\u548c\u4e58\u65b9\u6cd5\u5219\"<\/figure>\n

1\u3001\u5206\u5f0f\u7684\u4e58\u9664<\/p>\n

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\u7528\u5f0f\u5b50\u8868\u793a\u4e3a$frac{a}{b}\u00b7frac{c}{d}=frac{a\u00b7c}{b\u00b7d}$\u3002<\/p>\n

\uff082\uff09\u9664\u6cd5\u6cd5\u5219\uff1a\u5206\u5f0f\u9664\u4ee5\u5206\u5f0f\uff0c\u628a\u9664\u5f0f\u7684\u5206\u5b50\u3001\u5206\u6bcd\u98a0\u5012\u4f4d\u7f6e\u540e\uff0c\u4e0e\u88ab\u9664\u5f0f\u76f8\u4e58\u3002<\/p>\n

\u7528\u5f0f\u5b50\u8868\u793a\u4e3a$frac{a}{b}\u00f7frac{c}{d}=frac{a}{b}\u00b7frac{d}{c}=frac{a\u00b7d}{b\u00b7c}$\u3002<\/p>\n

\uff083\uff09\u4e58\u65b9\u6cd5\u5219\uff1a\u4e00\u822c\u5730\uff0c\u5f53$n$\u662f\u6b63\u6574\u6570\u65f6\uff0c<\/p>\n

$left(displaystyle{}frac{a}{b}right)^n=$$begin{matrix} underbrace{displaystyle{}frac{a}{b}\u00b7frac{a}{b}\u00b7cdots\u00b7frac{a}{b} }n\u4e2a end{matrix}=$$begin{matrix}n\u4e2a overbrace{begin{matrix} underbrace{displaystyle{}frac{a\u00b7a\u00b7cdots\u00b7a}{b\u00b7b\u00b7cdots\u00b7b}} n\u4e2a end{matrix}} end{matrix}=$$displaystyle{}frac{a^n}{b^n}$\uff0c\u5373$left(frac{a}{b}right)^n=frac{a^n}{b^n}$\u3002<\/p>\n

\u5373\u5206\u5f0f\u4e58\u65b9\u8981\u628a\u5206\u5b50\u3001\u5206\u6bcd\u5206\u522b\u4e58\u65b9\u3002<\/p>\n

2\u3001\u5206\u5f0f\u7684\u52a0\u51cf<\/p>\n

\u7c7b\u4f3c\u5206\u6570\u7684\u52a0\u51cf\uff0c\u5206\u5f0f\u7684\u52a0\u51cf\u6cd5\u5219\u662f<\/p>\n

\uff081\uff09\u540c\u5206\u6bcd\u5206\u5f0f\u76f8\u52a0\u51cf\uff0c\u5206\u6bcd\u4e0d\u53d8\uff0c\u628a\u5206\u5b50\u76f8\u52a0\u51cf\u3002<\/p>\n

\u5373\uff1a$frac{a}{c}\u00b1frac{b}{c}=frac{a\u00b1b}{c}$\u3002<\/p>\n

\uff082\uff09\u5f02\u5206\u6bcd\u5206\u5f0f\u76f8\u52a0\u51cf\uff0c\u5148\u901a\u5206\uff0c\u53d8\u4e3a\u540c\u5206\u6bcd\u7684\u5206\u5f0f\uff0c\u518d\u52a0\u51cf\u3002<\/p>\n

\u5373\uff1a$frac{a}{b}\u00b1frac{c}{d}=frac{ad}{bd}\u00b1frac{bc}{bd}=frac{ad\u00b1bc}{bd}$\u3002<\/p>\n

$frac{x^2-1}{x+1}\u00b7frac{x^2-x}{x^2-2x+1}=$___<\/p>\n

A\uff0e$x$ B\uff0e$2x$ C\uff0e$x^2$ D\uff0e$2x^2$<\/p>\n

\u7b54\u6848\uff1aA<\/p>\n

\u89e3\u6790\uff1a\u539f\u5f0f$=frac{(x+1)(x-1)}{x+1}\u00b7frac{x(x-1)}{(x-1)^2}=x$\u3002\u6545\u9009A \u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

1\u3001\u5206\u5f0f\u7684\u4e58\u9664 \uff081\uff09\u4e58\u6cd5\u6cd5\u5219\uff1a\u5206\u5f0f\u4e58\u5206\u5f0f\uff0c\u7528\u5206\u5b50\u7684\u79ef\u4f5c\u4e3a\u79ef\u7684\u5206\u5b50\uff0c\u5206\u6bcd\u7684\u79ef\u4f5c\u4e3a\u79ef\u7684\u5206\u6bcd\u3002 \u7528\u5f0f\u5b50\u8868\u793a\u4e3a$fr […]<\/p>\n","protected":false},"author":1,"featured_media":808496,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-806240","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-gonglue"],"_links":{"self":[{"href":"https:\/\/www.youtupa.com\/wp-json\/wp\/v2\/posts\/806240","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.youtupa.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.youtupa.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.youtupa.com\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.youtupa.com\/wp-json\/wp\/v2\/comments?post=806240"}],"version-history":[{"count":1,"href":"https:\/\/www.youtupa.com\/wp-json\/wp\/v2\/posts\/806240\/revisions"}],"predecessor-version":[{"id":808497,"href":"https:\/\/www.youtupa.com\/wp-json\/wp\/v2\/posts\/806240\/revisions\/808497"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.youtupa.com\/wp-json\/wp\/v2\/media\/808496"}],"wp:attachment":[{"href":"https:\/\/www.youtupa.com\/wp-json\/wp\/v2\/media?parent=806240"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.youtupa.com\/wp-json\/wp\/v2\/categories?post=806240"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.youtupa.com\/wp-json\/wp\/v2\/tags?post=806240"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}