{"id":1390,"date":"2019-01-19T15:52:20","date_gmt":"2019-01-19T07:52:20","guid":{"rendered":"https:\/\/2blog.ilc.edu.tw\/2341\/2019\/01\/19\/%e5%9b%a0%e5%bc%8f%e5%88%86%e8%a7%a3%e4%ba%8c%e9%a1%8c\/"},"modified":"2021-03-18T19:41:46","modified_gmt":"2021-03-18T11:41:46","slug":"%e5%9b%a0%e5%bc%8f%e5%88%86%e8%a7%a3%e4%ba%8c%e9%a1%8c","status":"publish","type":"post","link":"https:\/\/2blog.ilc.edu.tw\/2341\/2019\/01\/19\/%e5%9b%a0%e5%bc%8f%e5%88%86%e8%a7%a3%e4%ba%8c%e9%a1%8c\/","title":{"rendered":"\u56e0\u5f0f\u5206\u89e3\u4e8c\u984c"},"content":{"rendered":"<p>\u9019\u4e8c\u984c\u51fa\u81ea\u5fa9\u8208\u570b\u4e2d\u7684\u516b\u5e74\u7d1a\u8003\u984c\uff0c\u6574\u5f35\u8003\u5377 45 \u5206\u9418\u6211\u90fd\u4e0d\u4e00\u5b9a\u90fd\u80fd\u6e96\u6642\u7b97\u5b8c\u4e26\u6eff\u5206\u3002<\/p>\n<p><span style=\"font-size: 1em\">1. \u56e0\u5f0f\u5206\u89e3 <\/span> <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?(6x+6)(3x+4)(6x+7)^2-36\" title=\"(6x+6)(3x+4)(6x+7)^2-36\" \/><span style=\"font-size: 1em\">\u00a0<\/span><\/p>\n<p><span style=\"font-size: 1em\">Sol:<\/span><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?(6x+6)(3x+4)(6x+7)^2-36&amp;space;&amp;space;=[(x+1)(3x+4){6x+7}^2-6]&amp;space;times&amp;space;6&amp;space;=[(3x^2+7x+4)(36x^2+84x+49)-6]&amp;space;times&amp;space;6&amp;space;&amp;space;=[a(12a+1)-6]&amp;space;times&amp;space;6&amp;space;&amp;space;=[12a^2+a*6]&amp;space;times&amp;space;6&amp;space;&amp;space;=(3a-2)(4a+3)&amp;space;times&amp;space;6&amp;space;&amp;space;=[3(3x^2+7x+4)-2][4(3x^2+7x+4)+3]&amp;space;times&amp;space;6&amp;space;&amp;space;=(9x^2+21x+10)(12x^2+28x+19)&amp;space;times&amp;space;6&amp;space;&amp;space;=(3x+2)(3x+5)(12x^2+28x+19)&amp;space;times&amp;space;6\" title=\"(6x+6)(3x+4)(6x+7)^2-36 =[(x+1)(3x+4){6x+7}^2-6] times 6 =[(3x^2+7x+4)(36x^2+84x+49)-6] times 6 =[a(12a+1)-6] times 6 =[12a^2+a*6] times 6 =(3a-2)(4a+3) times 6 =[3(3x^2+7x+4)-2][4(3x^2+7x+4)+3] times 6 =(9x^2+21x+10)(12x^2+28x+19) times 6 =(3x+2)(3x+5)(12x^2+28x+19) times 6\" \/><\/p>\n<p>[@more@]<\/p>\n<p>2. \u5df2\u77e5 a, b \u5169\u6578\u6eff\u8db3 ab\u22601\uff0c <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?19a^2+29a+1=0,&amp;space;b^2+29b+17=0,&amp;space;frac{ab-5a+1}{b}=?\" title=\"19a^2+29a+1=0, b^2+29b+17=0, frac{ab-5a+1}{b}=?\" \/><\/p>\n<p>Sol:<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?b^2+29b+17=0&amp;space;&amp;space;Rightarrow&amp;space;1+frac{29}{b}+frac{17}{b^2}=0&amp;space;&amp;space;Rightarrow&amp;space;17(frac{1}{b^2})^2+29frac{1}{b}+1=0\" title=\"b^2+29b+17=0 Rightarrow 1+frac{29}{b}+frac{17}{b^2}=0 Rightarrow 17(frac{1}{b^2})^2+29frac{1}{b}+1=0\" \/><\/p>\n<p>\u56e0\u6b64\u00a0 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?17x^2+29x+1=0\" title=\"17x^2+29x+1=0\" \/>\u00a0\u7684\u5169\u6839\u70ba a \u548c 1\/b<\/p>\n<p>\u7528\u6839\u8207\u4fc2\u6578\u95dc\u4fc2\u5f97\u5169\u6839\u76f8\u52a0\u70ba -29\/17\uff1b\u5169\u6839\u76f8\u4e58\u70ba 1\/17<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?frac{ab-5a+1}{b}&amp;space;&amp;space;=frac{ab+1}{b}&amp;space;-&amp;space;5frac{a}{b}&amp;space;&amp;space;=frac{-29}{17}&amp;space;-&amp;space;frac{5}{17}&amp;space;&amp;space;=frac{-34}{17}&amp;space;=&amp;space;-2\" title=\"frac{ab-5a+1}{b} =frac{ab+1}{b} - 5frac{a}{b} =frac{-29}{17} - frac{5}{17} =frac{-34}{17} = -2\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u9019\u4e8c\u984c\u51fa\u81ea\u5fa9\u8208\u570b\u4e2d\u7684\u516b\u5e74\u7d1a\u8003\u984c\uff0c\u6574\u5f35\u8003\u5377 45 \u5206\u9418\u6211\u90fd\u4e0d\u4e00\u5b9a\u90fd\u80fd\u6e96\u6642\u7b97\u5b8c\u4e26\u6eff\u5206\u3002 1. \u56e0\u5f0f\u5206\u89e3 \u00a0 Sol&#8230; &raquo; <a class=\"read-more-link\" href=\"https:\/\/2blog.ilc.edu.tw\/2341\/2019\/01\/19\/%e5%9b%a0%e5%bc%8f%e5%88%86%e8%a7%a3%e4%ba%8c%e9%a1%8c\/\">\u95b1\u8b80\u5168\u6587<\/a><\/p>\n","protected":false},"author":76,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[33],"tags":[],"class_list":["post-1390","post","type-post","status-publish","format-standard","hentry","category-c-16869"],"meta_key":{"lt_post_id":["770660"],"_jetpack_related_posts_cache":["a:1:{s:32:\"8f6677c9d6b0f903e98ad32ec61f8deb\";a:2:{s:7:\"expires\";i:1579514531;s:7:\"payload\";a:0:{}}}"],"_pingme":["1"],"_encloseme":["1"]},"_links":{"self":[{"href":"https:\/\/2blog.ilc.edu.tw\/2341\/wp-json\/wp\/v2\/posts\/1390"}],"collection":[{"href":"https:\/\/2blog.ilc.edu.tw\/2341\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/2blog.ilc.edu.tw\/2341\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/2blog.ilc.edu.tw\/2341\/wp-json\/wp\/v2\/users\/76"}],"replies":[{"embeddable":true,"href":"https:\/\/2blog.ilc.edu.tw\/2341\/wp-json\/wp\/v2\/comments?post=1390"}],"version-history":[{"count":1,"href":"https:\/\/2blog.ilc.edu.tw\/2341\/wp-json\/wp\/v2\/posts\/1390\/revisions"}],"predecessor-version":[{"id":1830,"href":"https:\/\/2blog.ilc.edu.tw\/2341\/wp-json\/wp\/v2\/posts\/1390\/revisions\/1830"}],"wp:attachment":[{"href":"https:\/\/2blog.ilc.edu.tw\/2341\/wp-json\/wp\/v2\/media?parent=1390"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/2blog.ilc.edu.tw\/2341\/wp-json\/wp\/v2\/categories?post=1390"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/2blog.ilc.edu.tw\/2341\/wp-json\/wp\/v2\/tags?post=1390"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}