[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/jp\/wiki3\/archives\/2464#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/jp\/wiki3\/archives\/2464","headline":"\u95a2\u6570\u306e\u96f6\u70b9 – Wikipedia","name":"\u95a2\u6570\u306e\u96f6\u70b9 – Wikipedia","description":"\u672c\u9805\u306f\u51fd\u6570\u304c 0 \u3068\u306a\u308b\u70b9\uff08x\u5207\u7247\uff09\u306b\u3064\u3044\u3066\u306e\u3082\u306e\u3067\u3042\u308a\u30010 \u306b\u304a\u3051\u308b\u51fd\u6570\u306e\u5024\uff08y\u5207\u7247\uff09\u3068\u6df7\u540c\u3057\u3066\u306f\u306a\u3089\u306a\u3044\u3002 \u95a2\u6570 f \u306e \u96f6\u70b9\uff08\u308c\u3044\u3066\u3093\u3001\u82f1: zero, \u6839\uff08\u3053\u3093\u3001root\uff09\u3068\u547c\u3070\u308c\u308b\u3053\u3068\u3082\u3042\u308b\uff09\u3068\u306f\u3001f \u306e\u5b9a\u7fa9\u57df\u306e\u5143 x \u3067\u3042\u3063\u3066\u3001 f(x)=0{displaystyle f(x)=0} \u3092\u6e80\u305f\u3059\u3088\u3046\u306a\u3082\u306e\u306e\u3053\u3068\u3067\u3042\u308b\u3002\u5225\u306e\u8a00\u3044\u65b9\u3092\u3059\u308c\u3070\u3001\u95a2\u6570 f \u306e\u96f6\u70b9 (zero) \u3068\u306f\u3001x","datePublished":"2020-08-05","dateModified":"2020-08-05","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/jp\/wiki3\/archives\/author\/lordneo#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/jp\/wiki3\/archives\/author\/lordneo","image":{"@type":"ImageObject","@id":"https:\/\/secure.gravatar.com\/avatar\/c9645c498c9701c88b89b8537773dd7c?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/c9645c498c9701c88b89b8537773dd7c?s=96&d=mm&r=g","height":96,"width":96}},"publisher":{"@type":"Organization","name":"Enzyklop\u00e4die","logo":{"@type":"ImageObject","@id":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/11\/book.png","url":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/11\/book.png","width":600,"height":60}},"image":{"@type":"ImageObject","@id":"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/9\/98\/X-intercepts.svg\/300px-X-intercepts.svg.png","url":"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/9\/98\/X-intercepts.svg\/300px-X-intercepts.svg.png","height":"300","width":"300"},"url":"https:\/\/wiki.edu.vn\/jp\/wiki3\/archives\/2464","about":["Wiki"],"wordCount":1522,"articleBody":"\u672c\u9805\u306f\u51fd\u6570\u304c 0 \u3068\u306a\u308b\u70b9\uff08x\u5207\u7247\uff09\u306b\u3064\u3044\u3066\u306e\u3082\u306e\u3067\u3042\u308a\u30010 \u306b\u304a\u3051\u308b\u51fd\u6570\u306e\u5024\uff08y\u5207\u7247\uff09\u3068\u6df7\u540c\u3057\u3066\u306f\u306a\u3089\u306a\u3044\u3002\u95a2\u6570 f \u306e \u96f6\u70b9\uff08\u308c\u3044\u3066\u3093\u3001\u82f1: zero, \u6839\uff08\u3053\u3093\u3001root\uff09\u3068\u547c\u3070\u308c\u308b\u3053\u3068\u3082\u3042\u308b\uff09\u3068\u306f\u3001f \u306e\u5b9a\u7fa9\u57df\u306e\u5143 x \u3067\u3042\u3063\u3066\u3001f(x)=0{displaystyle f(x)=0}  \u3092\u6e80\u305f\u3059\u3088\u3046\u306a\u3082\u306e\u306e\u3053\u3068\u3067\u3042\u308b\u3002\u5225\u306e\u8a00\u3044\u65b9\u3092\u3059\u308c\u3070\u3001\u95a2\u6570 f \u306e\u96f6\u70b9 (zero) \u3068\u306f\u3001x \u3092 f \u3067\u5199\u3057\u305f\u7d50\u679c\u304c 0 (zero) \u3068\u306a\u308b\u3088\u3046\u306a\u5024 x \u306e\u3053\u3068\u3067\u3042\u308b\u3002f(x) \u304c x \u3067\u6d88\u3048\u3066\u3044\u308b (vanish) \u3068\u8868\u73fe\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u308b[1]\u3002\u5b9f\u95a2\u6570\u3001\u8907\u7d20\u95a2\u6570\u3001\u3042\u308b\u3044\u306f\u4e00\u822c\u306b\u3001\u74b0\u306b\u5024\u3092\u6301\u3064\u95a2\u6570\u3084\u30d9\u30af\u30c8\u30eb\u5024\u95a2\u6570\u306b\u5bfe\u3057\u3066\u7528\u3044\u3089\u308c\u308b\u3002\u591a\u9805\u5f0f\u306e\u6839 (root) \u3068\u306f\u3001\u305d\u308c\u3092\u591a\u9805\u5f0f\u95a2\u6570\u3068\u3057\u3066\u8003\u3048\u305f\u3068\u304d\u306e\u96f6\u70b9\u306e\u3053\u3068\u3067\u3042\u308b\u3002\u4ee3\u6570\u5b66\u306e\u57fa\u672c\u5b9a\u7406\u306b\u3088\u308b\u3068\u30010 \u3067\u306a\u3044\u4efb\u610f\u306e\u591a\u9805\u5f0f\u306f\u6839\u3092\u9ad8\u3005\u305d\u306e\u6b21\u6570\u500b\u3060\u3051\u3082\u3061\u3001\u6839\u306e\u500b\u6570\u3068\u6b21\u6570\u306f\u3001\u8907\u7d20\u6570\u306e\u6839\uff08\u3042\u308b\u3044\u306f\u3088\u308a\u4e00\u822c\u306b\u4ee3\u6570\u7684\u306b\u9589\u3058\u3066\u3044\u308b\u62e1\u5927\u306b\u304a\u3051\u308b\u6839\uff09\u3092\u91cd\u8907\u5ea6\u3092\u8fbc\u3081\u3066\u8003\u3048\u308b\u3068\u7b49\u3057\u3044\u3002\u4f8b\u3048\u3070\u3001\u591a\u9805\u5f0f  f(x)=x2\u22125x+6{displaystyle f(x)=x^{2}-5x+6}\u3067\u5b9a\u7fa9\u3055\u308c\u308b2\u6b21\u591a\u9805\u5f0f f \u306f2\u3064\u306e\u6839 2 \u3068 3 \u3092\u3082\u3064\u3002\u306a\u305c\u306a\u3089\u3001f(2)=22\u22125\u22c52+6=0{displaystyle f(2)=2^{2}-5cdot 2+6=0}  f(3)=32\u22125\u22c53+6=0{displaystyle f(3)=3^{2}-5cdot 3+6=0}\u3068\u306a\u308b\u304b\u3089\u3067\u3042\u308b\u3002\u95a2\u6570\u304c\u5b9f\u6570\u3092\u5b9f\u6570\u306b\u5199\u3059\u306a\u3089\u3070\u3001\u305d\u306e\u96f6\u70b9\u306f\u30b0\u30e9\u30d5\u304c x \u8ef8\u3068\u4ea4\u308f\u308b\u70b9\u306e x \u5ea7\u6a19\u3067\u3042\u308b\u3002\u3053\u306e\u610f\u5473\u3067\u305d\u306e\u3088\u3046\u306a\u70b9 (x, 0) \u3092 x \u5207\u7247 (x-intercept) \u3068\u3082\u547c\u3076\u3002\u8907\u7d20\u6570\u306e\u6982\u5ff5\u306f\uff08\u5224\u5225\u5f0f\u304c\u8ca0\u306e\u5024\u3068\u306a\u308b\uff09\u4e8c\u6b21\u65b9\u7a0b\u5f0f\u3084\u4e09\u6b21\u65b9\u7a0b\u5f0f\u306e\u6839\uff08\u8ca0\u306e\u6570\u306e\u5e73\u65b9\u6839\u7b49\u304c\u542b\u307e\u308c\u308b\uff09\u3092\u6271\u3046\u305f\u3081\u306b\u767a\u5c55\u3057\u305f\u3082\u306e\u3067\u3042\u308b\u3002\u6700\u3082\u91cd\u8981\u306a\u672a\u89e3\u6c7a\u554f\u984c\u306e1\u3064\u3067\u3042\u308b\u30ea\u30fc\u30de\u30f3\u4e88\u60f3\u306f\u3001\u30ea\u30fc\u30de\u30f3\u30bc\u30fc\u30bf\u95a2\u6570\u306e\u8907\u7d20\u6839\u306e\u4f4d\u7f6e\u306b\u95a2\u3059\u308b\u3082\u306e\u3067\u3042\u308b\u3002Table of Contents\u591a\u9805\u5f0f\u306e\u6839[\u7de8\u96c6]\u4ee3\u6570\u5b66\u306e\u57fa\u672c\u5b9a\u7406[\u7de8\u96c6]\u6839\u306e\u8a08\u7b97[\u7de8\u96c6]\u96f6\u70b9\u96c6\u5408[\u7de8\u96c6]\u95a2\u9023\u9805\u76ee[\u7de8\u96c6]\u53c2\u8003\u6587\u732e[\u7de8\u96c6]\u5916\u90e8\u30ea\u30f3\u30af[\u7de8\u96c6]\u591a\u9805\u5f0f\u306e\u6839[\u7de8\u96c6]\u5947\u6570\u6b21\uff08\u82f1\u8a9e\u7248\uff09\u306e\u3059\u3079\u3066\u306e\u5b9f\u591a\u9805\u5f0f\u306f\uff08\u91cd\u8907\u5ea6\u3092\u8003\u616e\u306b\u5165\u308c\u3066\uff09\u5947\u6570\u500b\u306e\u5b9f\u6839\u3092\u3082\u3064\u3002\u540c\u69d8\u306b\u3001\u5076\u6570\u6b21\u306e\u5b9f\u4fc2\u6570\u591a\u9805\u5f0f\u306f\u5076\u6570\u500b\u306e\u5b9f\u6839\u3092\u3082\u305f\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u5947\u6570\u6b21\u306e\u5b9f\u591a\u9805\u5f0f\u306f\u5c11\u306a\u304f\u3068\u30821\u3064\u306e\u5b9f\u6839\u3092\u3082\u305f\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\uff08\u306a\u305c\u306a\u30891\u304c\u6700\u5c0f\u306e\u6b63\u306e\u5947\u6570\u3060\u304b\u3089\uff09\u304c\u3001\u4e00\u65b9\u5076\u6570\u6b21\u306e\u591a\u9805\u5f0f\u306f\u5b9f\u6839\u3092\u3082\u305f\u306a\u304f\u3066\u3082\u3088\u3044\u3002\u3053\u306e\u539f\u7406\u306f\u4e2d\u9593\u5024\u306e\u5b9a\u7406\u3092\u53c2\u7167\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u8a3c\u660e\u3067\u304d\u308b\u3002\u591a\u9805\u5f0f\u95a2\u6570\u306f\u9023\u7d9a\u3067\u3042\u308b\u304b\u3089\u3001\u95a2\u6570\u306f\u8ca0\u304b\u3089\u6b63\u306b\u3042\u308b\u3044\u306f\u6b63\u304b\u3089\u8ca0\u306b\u5909\u308f\u308b\u904e\u7a0b\u30670\u3092\u6a2a\u5207\u3089\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u3002\u4ee3\u6570\u5b66\u306e\u57fa\u672c\u5b9a\u7406[\u7de8\u96c6]\u4ee3\u6570\u5b66\u306e\u57fa\u672c\u5b9a\u7406\u306f\u6b21\u306e\u3053\u3068\u3092\u8ff0\u3079\u3066\u3044\u308b\u3002\u3059\u3079\u3066\u306e n \u6b21\u591a\u9805\u5f0f\u306f\u91cd\u8907\u3092\u3053\u3081\u3066 n \u500b\u306e\u8907\u7d20\u6570\u6839\u3092\u3082\u3064\u3002\u5b9f\u4fc2\u6570\u591a\u9805\u5f0f\u306e\u865a\u6839\u306f\u5171\u5f79\u306e\u30da\u30a2\u3067\u73fe\u308c\u308b[1]\u3002Vieta \u306e\u516c\u5f0f\u306f\u591a\u9805\u5f0f\u306e\u4fc2\u6570\u3092\u305d\u306e\u6839\u306e\u548c\u3068\u7a4d\u306b\u95a2\u4fc2\u3065\u3051\u308b\u3002\u6839\u306e\u8a08\u7b97[\u7de8\u96c6]\u3042\u308b\u7a2e\u306e\u95a2\u6570\u3001\u7279\u306b\u591a\u9805\u5f0f\u95a2\u6570\u306e\u6839\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001\u3057\u3070\u3057\u3070\u305d\u308c\u5c02\u7528\u306e\u3042\u308b\u3044\u306f\u8fd1\u4f3c\u306e\u624b\u6cd5\uff08\u4f8b\u3048\u3070\u30cb\u30e5\u30fc\u30c8\u30f3\u6cd5\uff09\u3092\u4f7f\u3046\u3053\u3068\u304c\u8981\u6c42\u3055\u308c\u308b\u3002\u96f6\u70b9\u96c6\u5408[\u7de8\u96c6]\u30c8\u30dd\u30ed\u30b8\u30fc\u3084\u6570\u5b66\u306e\u4ed6\u306e\u5206\u91ce\u306b\u304a\u3044\u3066\u3001\u5b9f\u6570\u5024\u95a2\u6570 f\u00a0: X \u2192 R \uff08\u3042\u308b\u3044\u306f\u3088\u308a\u4e00\u822c\u306b\u52a0\u6cd5\u7fa4\u306b\u5024\u3092\u3068\u308b\u95a2\u6570\uff09\u306e\u96f6\u70b9\u96c6\u5408 (zero set) \u306f X \u306e\u90e8\u5206\u96c6\u5408 f\u22121(0){displaystyle f^{-1}(0)} \uff08{0} \u306e\u9006\u50cf\uff09\u3067\u3042\u308b\u3002\u96f6\u70b9\u96c6\u5408\u306f\u6570\u5b66\u306e\u591a\u304f\u306e\u5206\u91ce\u3067\u91cd\u8981\u3067\u3042\u308b\u3002\u7279\u306b\u91cd\u8981\u306a1\u3064\u306e\u5206\u91ce\u306f\u4ee3\u6570\u5e7e\u4f55\u5b66\u3067\u3042\u308a\u3001\u4ee3\u6570\u591a\u69d8\u4f53\u306e\u6700\u521d\u306e\u5b9a\u7fa9\u306f\u96f6\u70b9\u96c6\u5408\u306b\u3088\u3063\u3066\u306a\u3055\u308c\u308b\u3002\u4f8b\u3048\u3070\u3001k[x1, …, xn] \u306e\u591a\u9805\u5f0f\u304b\u3089\u306a\u308b\u5404\u96c6\u5408 S \u306b\u5bfe\u3057\u3066\u3001zero-locus Z(S) \u3092 S \u306e\u95a2\u6570\u304c\u540c\u6642\u306b\u6d88\u3048\u308b\u3088\u3046\u306a An \u306e\u70b9\u5168\u4f53\u306e\u96c6\u5408\u3068\u5b9a\u7fa9\u3059\u308b\u3002\u3064\u307e\u308aZ(S)={x\u2208An\u2223f(x)=0\u00a0for all\u00a0f\u2208S}.{displaystyle Z(S)={xin mathbb {A} ^{n}mid f(x)=0{text{ for all }}fin S}.}\u3053\u306e\u3068\u304d An \u306e\u90e8\u5206\u96c6\u5408 V \u306f\u3042\u308b S \u306b\u5bfe\u3057\u3066 V = Z(S) \u3067\u3042\u308b\u3068\u304d\u306b\u30a2\u30d5\u30a3\u30f3\u4ee3\u6570\u7684\u96c6\u5408 (affine algebraic set) \u3068\u547c\u3070\u308c\u308b\u3002\u3053\u308c\u3089\u306e\u30a2\u30d5\u30a3\u30f3\u4ee3\u6570\u7684\u96c6\u5408\u306f\u4ee3\u6570\u5e7e\u4f55\u5b66\u306e\u57fa\u672c\u7684\u306a\u69cb\u6210\u8981\u7d20\u3067\u3042\u308b\u3002\u95a2\u9023\u9805\u76ee[\u7de8\u96c6]\u53c2\u8003\u6587\u732e[\u7de8\u96c6]\u5916\u90e8\u30ea\u30f3\u30af[\u7de8\u96c6]"},{"@context":"http:\/\/schema.org\/","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https:\/\/wiki.edu.vn\/jp\/wiki3\/#breadcrumbitem","name":"Enzyklop\u00e4die"}},{"@type":"ListItem","position":2,"item":{"@id":"https:\/\/wiki.edu.vn\/jp\/wiki3\/archives\/2464#breadcrumbitem","name":"\u95a2\u6570\u306e\u96f6\u70b9 – Wikipedia"}}]}]