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<ul id="toc-例-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="目次" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="切換目次" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">切換目次</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">交集</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="前往別種語言的條目。有五八種語言可用" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-58" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">五八種語言</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-am mw-list-item"><a href="https://am.wikipedia.org/wiki/%E1%8B%A8%E1%8C%8B%E1%88%AB_%E1%88%B5%E1%89%A5%E1%88%B5%E1%89%A5" title="የጋራ ስብስብ – 阿姆哈拉文" lang="am" hreflang="am" data-title="የጋራ ስብስብ" data-language-autonym="አማርኛ" data-language-local-name="阿姆哈拉文" class="interlanguage-link-target"><span>አማርኛ</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%AA%D9%82%D8%A7%D8%B7%D8%B9_(%D9%86%D8%B8%D8%B1%D9%8A%D8%A9_%D8%A7%D9%84%D9%85%D8%AC%D9%85%D9%88%D8%B9%D8%A7%D8%AA)" title="تقاطع (نظرية المجموعات) – 阿拉伯文" lang="ar" hreflang="ar" data-title="تقاطع (نظرية المجموعات)" data-language-autonym="العربية" data-language-local-name="阿拉伯文" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Interseici%C3%B3n_de_conxuntos" title="Interseición de conxuntos – 阿斯圖里亞文" lang="ast" hreflang="ast" data-title="Interseición de conxuntos" data-language-autonym="Asturianu" data-language-local-name="阿斯圖里亞文" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%9F%D0%B5%D1%80%D0%B0%D1%81%D1%8F%D1%87%D1%8D%D0%BD%D0%BD%D0%B5_%D0%BC%D0%BD%D0%BE%D1%81%D1%82%D0%B2%D0%B0%D1%9E" title="Перасячэнне мностваў – 白俄羅斯文" lang="be" hreflang="be" data-title="Перасячэнне мностваў" data-language-autonym="Беларуская" data-language-local-name="白俄羅斯文" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%9F%D0%B5%D1%80%D0%B0%D1%81%D1%8F%D1%87%D1%8D%D0%BD%D1%8C%D0%BD%D0%B5_%D0%BC%D0%BD%D0%BE%D1%81%D1%82%D0%B2%D0%B0%D1%9E" title="Перасячэньне мностваў – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Перасячэньне мностваў" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%A1%D0%B5%D1%87%D0%B5%D0%BD%D0%B8%D0%B5_(%D1%82%D0%B5%D0%BE%D1%80%D0%B8%D1%8F_%D0%BD%D0%B0_%D0%BC%D0%BD%D0%BE%D0%B6%D0%B5%D1%81%D1%82%D0%B2%D0%B0%D1%82%D0%B0)" title="Сечение (теория на множествата) – 保加利亞文" lang="bg" hreflang="bg" data-title="Сечение (теория на множествата)" data-language-autonym="Български" data-language-local-name="保加利亞文" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Intersecci%C3%B3" title="Intersecció – 加泰蘭文" lang="ca" hreflang="ca" data-title="Intersecció" data-language-autonym="Català" data-language-local-name="加泰蘭文" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-co mw-list-item"><a href="https://co.wikipedia.org/wiki/Intarsizzioni" title="Intarsizzioni – 科西嘉文" lang="co" hreflang="co" data-title="Intarsizzioni" data-language-autonym="Corsu" data-language-local-name="科西嘉文" class="interlanguage-link-target"><span>Corsu</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Pr%C5%AFnik" title="Průnik – 捷克文" lang="cs" hreflang="cs" data-title="Průnik" data-language-autonym="Čeština" data-language-local-name="捷克文" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%99%D1%8B%D1%88%D1%81%D0%B5%D0%BD_%D1%85%C4%95%D1%80%D0%B5%D1%81%D0%BB%D0%B5%D0%BD%C4%95%D0%B2%C4%95" title="Йышсен хĕресленĕвĕ – 楚瓦什文" lang="cv" hreflang="cv" data-title="Йышсен хĕресленĕвĕ" data-language-autonym="Чӑвашла" data-language-local-name="楚瓦什文" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Croestoriad_setiau" title="Croestoriad setiau – 威爾斯文" lang="cy" hreflang="cy" data-title="Croestoriad setiau" data-language-autonym="Cymraeg" data-language-local-name="威爾斯文" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-de badge-Q70894304 mw-list-item" title=""><a href="https://de.wikipedia.org/wiki/Schnittmenge" title="Schnittmenge – 德文" lang="de" hreflang="de" data-title="Schnittmenge" data-language-autonym="Deutsch" data-language-local-name="德文" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%A4%CE%BF%CE%BC%CE%AE_%CF%83%CF%85%CE%BD%CF%8C%CE%BB%CF%89%CE%BD" title="Τομή συνόλων – 希臘文" lang="el" hreflang="el" data-title="Τομή συνόλων" data-language-autonym="Ελληνικά" data-language-local-name="希臘文" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Intersection_(set_theory)" title="Intersection (set theory) – 英文" lang="en" hreflang="en" data-title="Intersection (set theory)" data-language-autonym="English" data-language-local-name="英文" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Komuna%C4%B5o" title="Komunaĵo – 世界文" lang="eo" hreflang="eo" data-title="Komunaĵo" data-language-autonym="Esperanto" data-language-local-name="世界文" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Intersecci%C3%B3n_de_conjuntos" title="Intersección de conjuntos – 西班牙文" lang="es" hreflang="es" data-title="Intersección de conjuntos" data-language-autonym="Español" data-language-local-name="西班牙文" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/%C3%9Chisosa" title="Ühisosa – 愛沙尼亞文" lang="et" hreflang="et" data-title="Ühisosa" data-language-autonym="Eesti" data-language-local-name="愛沙尼亞文" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Ebaketa_(multzo-teoria)" title="Ebaketa (multzo-teoria) – 巴斯克文" lang="eu" hreflang="eu" data-title="Ebaketa (multzo-teoria)" data-language-autonym="Euskara" data-language-local-name="巴斯克文" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%A7%D8%B4%D8%AA%D8%B1%D8%A7%DA%A9_(%D9%86%D8%B8%D8%B1%DB%8C%D9%87_%D9%85%D8%AC%D9%85%D9%88%D8%B9%D9%87%E2%80%8C%D9%87%D8%A7)" title="اشتراک (نظریه مجموعه‌ها) – 波斯文" lang="fa" hreflang="fa" data-title="اشتراک (نظریه مجموعه‌ها)" data-language-autonym="فارسی" data-language-local-name="波斯文" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Leikkaus_(matematiikka)" title="Leikkaus (matematiikka) – 芬蘭文" lang="fi" hreflang="fi" data-title="Leikkaus (matematiikka)" data-language-autonym="Suomi" data-language-local-name="芬蘭文" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fiu-vro mw-list-item"><a href="https://fiu-vro.wikipedia.org/wiki/%C3%9Ctine_osa" title="Ütine osa – 佛羅文" lang="vro" hreflang="vro" data-title="Ütine osa" data-language-autonym="Võro" data-language-local-name="佛羅文" class="interlanguage-link-target"><span>Võro</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Intersection_(math%C3%A9matiques)" title="Intersection (mathématiques) – 法文" lang="fr" hreflang="fr" data-title="Intersection (mathématiques)" data-language-autonym="Français" data-language-local-name="法文" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Intersecci%C3%B3n_(conxuntos)" title="Intersección (conxuntos) – 加利西亞文" lang="gl" hreflang="gl" data-title="Intersección (conxuntos)" data-language-autonym="Galego" data-language-local-name="加利西亞文" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%97%D7%99%D7%AA%D7%95%D7%9A_(%D7%9E%D7%AA%D7%9E%D7%98%D7%99%D7%A7%D7%94)" title="חיתוך (מתמטיקה) – 希伯來文" lang="he" hreflang="he" data-title="חיתוך (מתמטיקה)" data-language-autonym="עברית" data-language-local-name="希伯來文" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%B8%E0%A4%B0%E0%A5%8D%E0%A4%B5%E0%A4%A8%E0%A4%BF%E0%A4%B7%E0%A5%8D%E0%A4%A0_(%E0%A4%B8%E0%A4%AE%E0%A5%81%E0%A4%9A%E0%A5%8D%E0%A4%9A%E0%A4%AF_%E0%A4%B8%E0%A4%BF%E0%A4%A6%E0%A5%8D%E0%A4%A7%E0%A4%BE%E0%A4%A8%E0%A5%8D%E0%A4%A4)" title="सर्वनिष्ठ (समुच्चय सिद्धान्त) – 印地文" lang="hi" hreflang="hi" data-title="सर्वनिष्ठ (समुच्चय सिद्धान्त)" data-language-autonym="हिन्दी" data-language-local-name="印地文" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Presjek_skupova" title="Presjek skupova – 克羅埃西亞文" lang="hr" hreflang="hr" data-title="Presjek skupova" data-language-autonym="Hrvatski" data-language-local-name="克羅埃西亞文" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Metszet_(halmazelm%C3%A9let)" title="Metszet (halmazelmélet) – 匈牙利文" lang="hu" hreflang="hu" data-title="Metszet (halmazelmélet)" data-language-autonym="Magyar" data-language-local-name="匈牙利文" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-ia mw-list-item"><a href="https://ia.wikipedia.org/wiki/Intersection_(theoria_de_insimules)" title="Intersection (theoria de insimules) – 國際文" lang="ia" hreflang="ia" data-title="Intersection (theoria de insimules)" data-language-autonym="Interlingua" data-language-local-name="國際文" class="interlanguage-link-target"><span>Interlingua</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Irisan_(teori_himpunan)" title="Irisan (teori himpunan) – 印尼文" lang="id" hreflang="id" data-title="Irisan (teori himpunan)" data-language-autonym="Bahasa Indonesia" data-language-local-name="印尼文" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Sni%C3%B0mengi" title="Sniðmengi – 冰島文" lang="is" hreflang="is" data-title="Sniðmengi" data-language-autonym="Íslenska" data-language-local-name="冰島文" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Intersezione_(insiemistica)" title="Intersezione (insiemistica) – 義大利文" lang="it" hreflang="it" data-title="Intersezione (insiemistica)" data-language-autonym="Italiano" data-language-local-name="義大利文" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E5%85%B1%E9%80%9A%E9%83%A8%E5%88%86_(%E6%95%B0%E5%AD%A6)" title="共通部分 (数学) – 日文" lang="ja" hreflang="ja" data-title="共通部分 (数学)" data-language-autonym="日本語" data-language-local-name="日文" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D2%9A%D0%B8%D1%8B%D0%BB%D1%8B%D1%81%D1%83" title="Қиылысу – 哈薩克文" lang="kk" hreflang="kk" data-title="Қиылысу" data-language-autonym="Қазақша" data-language-local-name="哈薩克文" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EA%B5%90%EC%A7%91%ED%95%A9" title="교집합 – 韓文" lang="ko" hreflang="ko" data-title="교집합" data-language-autonym="한국어" data-language-local-name="韓文" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-lmo mw-list-item"><a href="https://lmo.wikipedia.org/wiki/Intersezion_(insemma)" title="Intersezion (insemma) – 倫巴底文" lang="lmo" hreflang="lmo" data-title="Intersezion (insemma)" data-language-autonym="Lombard" data-language-local-name="倫巴底文" class="interlanguage-link-target"><span>Lombard</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%9F%D1%80%D0%B5%D1%81%D0%B5%D0%BA_(%D1%82%D0%B5%D0%BE%D1%80%D0%B8%D1%98%D0%B0_%D0%BD%D0%B0_%D0%BC%D0%BD%D0%BE%D0%B6%D0%B5%D1%81%D1%82%D0%B2%D0%B0)" title="Пресек (теорија на множества) – 馬其頓文" lang="mk" hreflang="mk" data-title="Пресек (теорија на множества)" data-language-autonym="Македонски" data-language-local-name="馬其頓文" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Doorsnede_(verzamelingenleer)" title="Doorsnede (verzamelingenleer) – 荷蘭文" lang="nl" hreflang="nl" data-title="Doorsnede (verzamelingenleer)" data-language-autonym="Nederlands" data-language-local-name="荷蘭文" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Snitt_i_matematikk" title="Snitt i matematikk – 耐諾斯克挪威文" lang="nn" hreflang="nn" data-title="Snitt i matematikk" data-language-autonym="Norsk nynorsk" data-language-local-name="耐諾斯克挪威文" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Snitt_(mengdel%C3%A6re)" title="Snitt (mengdelære) – 巴克摩挪威文" lang="nb" hreflang="nb" data-title="Snitt (mengdelære)" data-language-autonym="Norsk bokmål" data-language-local-name="巴克摩挪威文" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Cz%C4%99%C5%9B%C4%87_wsp%C3%B3lna" title="Część wspólna – 波蘭文" lang="pl" hreflang="pl" data-title="Część wspólna" data-language-autonym="Polski" data-language-local-name="波蘭文" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://pms.wikipedia.org/wiki/Ant%C3%ABrsession" title="Antërsession – 皮埃蒙特文" lang="pms" hreflang="pms" data-title="Antërsession" data-language-autonym="Piemontèis" data-language-local-name="皮埃蒙特文" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Interse%C3%A7%C3%A3o" title="Interseção – 葡萄牙文" lang="pt" hreflang="pt" data-title="Interseção" data-language-autonym="Português" data-language-local-name="葡萄牙文" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Intersec%C8%9Bie_(matematic%C4%83)" title="Intersecție (matematică) – 羅馬尼亞文" lang="ro" hreflang="ro" data-title="Intersecție (matematică)" data-language-autonym="Română" data-language-local-name="羅馬尼亞文" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9F%D0%B5%D1%80%D0%B5%D1%81%D0%B5%D1%87%D0%B5%D0%BD%D0%B8%D0%B5_%D0%BC%D0%BD%D0%BE%D0%B6%D0%B5%D1%81%D1%82%D0%B2" title="Пересечение множеств – 俄文" lang="ru" hreflang="ru" data-title="Пересечение множеств" data-language-autonym="Русский" data-language-local-name="俄文" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Prienik_(matematika)" title="Prienik (matematika) – 斯洛伐克文" lang="sk" hreflang="sk" data-title="Prienik (matematika)" data-language-autonym="Slovenčina" data-language-local-name="斯洛伐克文" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Presek_mno%C5%BEic" title="Presek množic – 斯洛維尼亞文" lang="sl" hreflang="sl" data-title="Presek množic" data-language-autonym="Slovenščina" data-language-local-name="斯洛維尼亞文" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%9F%D1%80%D0%B5%D1%81%D0%B5%D0%BA_(%D1%82%D0%B5%D0%BE%D1%80%D0%B8%D1%98%D0%B0_%D1%81%D0%BA%D1%83%D0%BF%D0%BE%D0%B2%D0%B0)" title="Пресек (теорија скупова) – 塞爾維亞文" lang="sr" hreflang="sr" data-title="Пресек (теорија скупова)" data-language-autonym="Српски / srpski" data-language-local-name="塞爾維亞文" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Snitt" title="Snitt – 瑞典文" lang="sv" hreflang="sv" data-title="Snitt" data-language-autonym="Svenska" data-language-local-name="瑞典文" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%B5%E0%AF%86%E0%AE%9F%E0%AF%8D%E0%AE%9F%E0%AF%81_(%E0%AE%95%E0%AE%A3%E0%AE%95%E0%AF%8D_%E0%AE%95%E0%AF%8B%E0%AE%9F%E0%AF%8D%E0%AE%AA%E0%AE%BE%E0%AE%9F%E0%AF%81)" title="வெட்டு (கணக் கோட்பாடு) – 坦米爾文" lang="ta" hreflang="ta" data-title="வெட்டு (கணக் கோட்பாடு)" data-language-autonym="தமிழ்" data-language-local-name="坦米爾文" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%AD%E0%B8%B4%E0%B8%99%E0%B9%80%E0%B8%95%E0%B8%AD%E0%B8%A3%E0%B9%8C%E0%B9%80%E0%B8%8B%E0%B8%81%E0%B8%8A%E0%B8%B1%E0%B8%99" title="อินเตอร์เซกชัน – 泰文" lang="th" hreflang="th" data-title="อินเตอร์เซกชัน" data-language-autonym="ไทย" data-language-local-name="泰文" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Salubungan_(matematika)" title="Salubungan (matematika) – 塔加路族文" lang="tl" hreflang="tl" data-title="Salubungan (matematika)" data-language-autonym="Tagalog" data-language-local-name="塔加路族文" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Kesi%C5%9Fme_%C3%B6zelli%C4%9Fi" title="Kesişme özelliği – 土耳其文" lang="tr" hreflang="tr" data-title="Kesişme özelliği" data-language-autonym="Türkçe" data-language-local-name="土耳其文" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9F%D0%B5%D1%80%D0%B5%D1%82%D0%B8%D0%BD_%D0%BC%D0%BD%D0%BE%D0%B6%D0%B8%D0%BD" title="Перетин множин – 烏克蘭文" lang="uk" hreflang="uk" data-title="Перетин множин" data-language-autonym="Українська" data-language-local-name="烏克蘭文" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/Ph%C3%A9p_giao" title="Phép giao – 越南文" lang="vi" hreflang="vi" data-title="Phép giao" data-language-autonym="Tiếng Việt" data-language-local-name="越南文" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E4%BA%A4%E9%9B%86" title="交集 – 吳語" lang="wuu" hreflang="wuu" data-title="交集" data-language-autonym="吴语" data-language-local-name="吳語" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-xal mw-list-item"><a href="https://xal.wikipedia.org/wiki/%D0%90%D0%BC%D0%B4%D0%B0%D0%BB%D2%BB%D0%B0%D0%BD" title="Амдалһан – 卡爾梅克文" lang="xal" hreflang="xal" data-title="Амдалһан" data-language-autonym="Хальмг" data-language-local-name="卡爾梅克文" class="interlanguage-link-target"><span>Хальмг</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E4%BA%A4%E9%9B%86" title="交集 – 中文" lang="zh" hreflang="zh" data-title="交集" data-language-autonym="中文" data-language-local-name="中文" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E4%BA%A4%E9%9B%86" title="交集 – 粵語" lang="yue" hreflang="yue" data-title="交集" data-language-autonym="粵語" data-language-local-name="粵語" class="interlanguage-link-target"><span>粵語</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a 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							cdx-button--size-medium cdx-button--icon-only cdx-dialog__header__close-button" aria-label="關閉" onclick="document.getElementById("mw-fr-revision-details").style.display = "none";" type="submit"><span class="cdx-icon cdx-icon--medium
							cdx-fr-css-icon--close"></span></button></header><div class="cdx-dialog__body">此為底本，未經<a href="/wiki/%E8%AA%AA%E6%98%8E:%E6%A0%A1%E5%B0%8D" title="說明:校對">審校</a>。</div></div><div tabindex="0"></div></div><div class="mw-content-ltr mw-parser-output" lang="lzh" dir="ltr"><figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/%E6%AA%94%E6%A1%88:Venn_A_intersect_B.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/6d/Venn_A_intersect_B.svg/150px-Venn_A_intersect_B.svg.png" decoding="async" width="150" height="107" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/6d/Venn_A_intersect_B.svg/225px-Venn_A_intersect_B.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/6d/Venn_A_intersect_B.svg/300px-Venn_A_intersect_B.svg.png 2x" data-file-width="350" data-file-height="250" /></a><figcaption><i>A</i> 與 <i>B</i>之交集</figcaption></figure> <p><b>交集</b>者，<a href="/wiki/%E9%9B%86" title="集">集</a>之交也。 </p> <div class="mw-heading mw-heading2"><h2 id="定義"><span id=".E5.AE.9A.E7.BE.A9"></span>定義</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E4%BA%A4%E9%9B%86&action=edit&section=1" title="所纂章名：定義"><span>纂</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>二集共有之物，聚曰<b>交集</b>（記曰「<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle A\land B}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>A</mi> <mo>∧</mo> <mi>B</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle A\land B}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/74954195333a8593163b93a9688695b8dc74da55" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.09ex; height:2.176ex;" alt="{\displaystyle A\land B}"></span>」）。 </p> <div class="mw-heading mw-heading2"><h2 id="例"><span id=".E4.BE.8B"></span>例</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E4%BA%A4%E9%9B%86&action=edit&section=2" title="所纂章名：例"><span>纂</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>奇偶之集相交，卒得<a href="/wiki/%E7%A9%BA%E9%9B%86" title="空集">空集</a>。</li> <li><a href="/w/index.php?title=%E4%BA%94%E9%87%91&action=edit&redlink=1" class="new" title="五金（查無此頁）">五金</a>之集，交<a href="/wiki/%E4%BA%94%E8%A1%8C" class="mw-redirect" title="五行">五行</a>之集，得獨金之集。（記曰「{金,銀,銅,鐵,錫} ∩ {金,木,水,火,土}={金}」）</li> <li>不足二分之一者，成一集也；不足三分之一者，亦成一集也；不足四分之一者，成一集也；如是類推，得無數集。此無數集之交者，負數集是也。（記曰「<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {(x\mid x\leq {\frac {1}{2}})}\land {(x\mid x\leq {\frac {1}{3}})}\land {(x\mid x\leq {\frac {1}{4}})}\land ...={(x\mid x\leq {0})}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">(</mo> <mi>x</mi> <mo>∣</mo> <mi>x</mi> <mo>≤</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> <mo stretchy="false">)</mo> </mrow> <mo>∧</mo> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">(</mo> <mi>x</mi> <mo>∣</mo> <mi>x</mi> <mo>≤</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> </mrow> <mo stretchy="false">)</mo> </mrow> <mo>∧</mo> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">(</mo> <mi>x</mi> <mo>∣</mo> <mi>x</mi> <mo>≤</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> </mrow> <mo stretchy="false">)</mo> </mrow> <mo>∧</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">(</mo> <mi>x</mi> <mo>∣</mo> <mi>x</mi> <mo>≤</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> <mo stretchy="false">)</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {(x\mid x\leq {\frac {1}{2}})}\land {(x\mid x\leq {\frac {1}{3}})}\land {(x\mid x\leq {\frac {1}{4}})}\land ...={(x\mid x\leq {0})}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cefbd2a0790c5db335e10c2b6140f97f8f864405" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:57.446ex; height:5.176ex;" alt="{\displaystyle {(x\mid x\leq {\frac {1}{2}})}\land {(x\mid x\leq {\frac {1}{3}})}\land {(x\mid x\leq {\frac {1}{4}})}\land ...={(x\mid x\leq {0})}}"></span>」）</li> <li>集自交，亦為己耳。（記曰「<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle A\land A=A}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>A</mi> <mo>∧</mo> <mi>A</mi> <mo>=</mo> <mi>A</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle A\land A=A}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8c25e6abe82e96d0723aafb472be2292d1182e05" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:10.91ex; height:2.176ex;" alt="{\displaystyle A\land A=A}"></span>」）</li></ul> <div class="NavFrame" style="clear:both"> <div class="NavHead"><a href="/wiki/%E9%9B%86%E8%AB%96" title="集論">集論</a></div> <div class="NavContent"> <p><a href="/wiki/%E9%9B%86" title="集">元素</a>｜ <a href="/wiki/%E9%9B%86" title="集">集</a>｜ <a href="/wiki/%E6%97%8F_(%E6%95%B8%E5%AD%B8)" title="族 (數學)">族</a>｜ <a href="/wiki/%E5%AD%90%E9%9B%86" title="子集">子集</a>｜ <a class="mw-selflink selflink">交集</a>｜ <a href="/wiki/%E4%BD%B5%E9%9B%86" title="併集">併集</a>｜ <a href="/wiki/%E8%A3%9C%E9%9B%86" title="補集">補集</a>｜ <a href="/wiki/%E5%86%AA%E9%9B%86" title="冪集">冪集</a>｜ <a href="/wiki/%E6%9C%89%E5%BA%8F%E5%B0%8D" title="有序對">有序對</a>｜ <a href="/wiki/%E7%9B%B4%E7%A9%8D" title="直積">直積</a>｜ <a href="/wiki/%E9%97%9C%E4%BF%82_(%E6%95%B8%E5%AD%B8)" title="關係 (數學)">關係</a>｜ <a href="/wiki/%E6%98%A0%E5%B0%84" title="映射">映射</a>｜ <a href="/wiki/%E7%AD%89%E5%83%B9" title="等價">等價</a>｜ <a href="/wiki/%E5%81%8F%E5%BA%8F" title="偏序">偏序</a> </p> </div> <div class="NavEnd"> </div> </div></div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1&useformat=desktop" alt="" width="1" height="1" style="border: none; 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