{"id":497,"date":"2023-05-09T09:05:23","date_gmt":"2023-05-09T01:05:23","guid":{"rendered":"http:\/\/blog.yuekegu.com\/?p=497"},"modified":"2023-05-09T09:05:23","modified_gmt":"2023-05-09T01:05:23","slug":"%e6%8f%90%e5%8f%96%e8%af%95%e5%8d%b7%e9%a2%98%e7%9b%ae%e5%8f%8a%e9%a2%98%e5%8f%b7%e5%92%8c%e9%80%89%e9%a1%b9","status":"publish","type":"post","link":"https:\/\/book.yuekegu.com\/index.php\/2023\/05\/09\/%e6%8f%90%e5%8f%96%e8%af%95%e5%8d%b7%e9%a2%98%e7%9b%ae%e5%8f%8a%e9%a2%98%e5%8f%b7%e5%92%8c%e9%80%89%e9%a1%b9\/","title":{"rendered":"\u63d0\u53d6\u8bd5\u5377\u9898\u76ee\u53ca\u9898\u53f7\u548c\u9009\u9879"},"content":{"rendered":"\n

\u4ee5\u4e0b\u4ee3\u7801\u7684\u529f\u80fd\u662f\u4e3a\u4e86\u5b9e\u73b0\u63d0\u53d6\u9898\u76ee\u4e2d\u7684\u9898\u53f7\uff0c\u9898\u76ee\uff0c\u5982\u662f\u9009\u62e9\u9898\u5219\u63d0\u53d6\u9009\u9879\uff0c\u5177\u4f53\u4ee3\u7801\u5982\u4e0b\uff1a<\/p>\n\n\n\n

\/\/ \u63d0\u53d6\u8bd5\u5377\u9898\u76ee\u53ca\u9898\u53f7\n$text = \"11. \u5df2\u77e5\u692d\u5706 $C: \\frac{x^{2}}{a^{2}}+\\frac{y^{2}}{b^{2}}=1(a>b>0)$ \u7684\u5de6\u3001\u53f3\u7126\u70b9\u5206\u522b\u4e3a $F_{1}, F_{2}$, \u70b9 $M$ \u662f\u692d\u5706 $C$ \u4e0a\u4efb\u610f\u4e00\u70b9, \u4e14 $\\overrightarrow{M F_{1}} \\cdot \\overrightarrow{M F_{2}}$ \u7684\u53d6\u503c\u8303\u56f4\u4e3a $[2,3]$. \u5f53\u70b9 $M$ \u4e0d\u5728 $x$ \u8f74\u4e0a\u65f6, \u8bbe $\\triangle M F_{1} F_{2}$ \u7684\u5185\u5207\u5706\u534a\u5f84\u4e3a $m$, \u5916\u63a5\u5706 \u534a\u5f84\u4e3a $n$, \u5219 $m n$ \u7684\u6700\u5927\u503c\u4e3a ( ) A. $\\frac{1}{3}$ B. $\\frac{1}{2}$ C. $\\frac{2}{3}$ D. 1\n12. \u8bbe\u51fd\u6570 $f(x)=\\mathrm{e}^{3 \\ln -x}-x^{2}-(a-4) x-4$, \u82e5 $f(x) \\leqslant 0$, \u5219 $a$ \u7684\u6700\u5c0f\u503c\u4e3a $(\\quad)$ A. e B. $\\frac{1}{\\mathrm{e}}$ C. $\\frac{1}{\\mathrm{e}^{2}}$ D. $\\frac{4}{\\mathrm{e}^{2}}$\n13. $\\left(x^{2}-\\frac{2}{x}\\right)^{6}$ \u7684\u5c55\u5f00\u5f0f\u4e2d\u5e38\u6570\u9879\u662f___.\n14. \u6570\u5217 $\\left\\{a_{n}\\right\\}$ \u7684\u524d $n$ \u9879\u548c\u4e3a $S_{n}$, \u82e5 $a_{1}=1, a_{n+1}=S_{n}$, \u5219 $a_{n}=$\n15. \u5728\u68f1\u957f\u4e3a 2 \u7684\u6b63\u65b9\u4f53 $A B C D-A_{1} B_{1} C_{1} D_{1}$ \u4e2d, \u82e5 $E$ \u4e3a\u68f1 $B B_{1}$ \u7684\u4e2d\u70b9, \u5219\u5e73\u9762 $A E C_{1}$ \u622a\u6b63\u65b9\u4f53 $A B C D-A_{1} B_{1} C_{1} D_{1}$ \u7684\u622a\u9762\u9762\u79ef\u4e3a___\n16. \u82e5\u51fd\u6570 $f(x)=\\left|x-\\sqrt{4-4 x^{2}}-2\\right|-2 a-1$ \u6709\u4e24\u4e2a\u96f6\u70b9, \u5219\u5b9e\u6570 $a$ \u7684\u53d6\u503c\u8303\u56f4\u4e3a___\";\n\n\n$pattern = \"\/(\\d+)\\.\\s(.*?)(?=\\d+\\.|\\Z)\/ms\";\npreg_match_all($pattern, $text, $matches, PREG_SET_ORDER);\n\n\n\/\/ print_r($matches);\n\nforeach ($matches as $match) {\n\n\t$item['number'] = $match[1];\n\t$item['content'] = $match[2];\n    \/\/ $number = $match[1];\n    \/\/ $title = $match[2];\n\n\n    \/\/ echo \"\u9898\u53f7\uff1a$number\uff1b\u9898\u76ee\uff1a$title\\n\";\n\n    $regex = '\/[A-D]\\.(.*?)(?=[A-D]\\.|\\Z)\/ms';\n\n    # $regex = '\/^[A-D]\\.\\s(.+)(?=[A-D]+\\.|\\Z)$\/ms';\n\tif(preg_match_all($regex, $item['content'], $matches2))\n\t{\n\t\t\/\/ print_r($matches2);\n\t\t$item['options'] = $matches2[1];\n\n\t\t$item['content'] = str_replace($matches2[0],'',$item['content']);\n\t}\n\n\n\tprint_r($item);\t\n\n}<\/code><\/pre>\n\n\n\n
\u8fd0\u884c\u6548\u679c\u5982\u4e0b\uff1a<\/p>\n\n\n\n
\"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"
\u4ee5\u4e0b\u4ee3\u7801\u7684\u529f\u80fd\u662f\u4e3a\u4e86\u5b9e\u73b0\u63d0\u53d6\u9898\u76ee\u4e2d\u7684\u9898\u53f7\uff0c\u9898\u76ee\uff0c\u5982\u662f\u9009\u62e9\u9898\u5219\u63d0\u53d6\u9009\u9879\uff0c\u5177\u4f53\u4ee3\u7801\u5982\u4e0b\uff1a \u8fd0\u884c\u6548\u679c\u5982\u4e0b\uff1a<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[27],"tags":[],"class_list":["post-497","post","type-post","status-publish","format-standard","hentry","category-27"],"_links":{"self":[{"href":"https:\/\/book.yuekegu.com\/index.php\/wp-json\/wp\/v2\/posts\/497","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/book.yuekegu.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/book.yuekegu.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/book.yuekegu.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/book.yuekegu.com\/index.php\/wp-json\/wp\/v2\/comments?post=497"}],"version-history":[{"count":0,"href":"https:\/\/book.yuekegu.com\/index.php\/wp-json\/wp\/v2\/posts\/497\/revisions"}],"wp:attachment":[{"href":"https:\/\/book.yuekegu.com\/index.php\/wp-json\/wp\/v2\/media?parent=497"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/book.yuekegu.com\/index.php\/wp-json\/wp\/v2\/categories?post=497"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/book.yuekegu.com\/index.php\/wp-json\/wp\/v2\/tags?post=497"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}