一开等于多少度 tan多少度等于多少？
1\u5f00\u6c0f\u5ea6(1K)\u7b49\u4e8e\u51e0\u6444\u6c0f\u5ea6?1\u5f00\u6c0f\u5ea6 = -272.15 \u6444\u6c0f\u5ea6(\u2103)
\u6362\u7b97\u5355\u4f4d\uff1a
1\u5f00\u6c0f\u5ea6 = -457.87 \u534e\u6c0f\u5ea6(\u2109) = -217.72 \u5217\u6c0f\u5ea6(\u00b0Re) = 1.8 \u5170\u6c0f\u5ea6(\u00b0R)
\u5f00\u6c0f\u5ea6\uff1a\u70ed\u529b\u5b66\u6e29\u5ea6\uff0c\u53c8\u79f0\u5f00\u5c14\u6587\u6e29\u6807\u3001\u7edd\u5bf9\u6e29\u6807\uff0c\u7b80\u79f0\u5f00\u6c0f\u6e29\u6807\uff0c\u662f\u56fd\u9645\u5355\u4f4d\u5236\u4e03\u4e2a\u57fa\u672c\u7269\u7406\u91cf\u4e4b\u4e00\uff0c\u5355\u4f4d\u4e3a\u5f00\u5c14\u6587\uff0c\u7b80\u79f0\u5f00\uff0c\uff08\u7b26\u53f7\u4e3aK\uff09\uff0c\u5176\u63cf\u8ff0\u7684\u662f\u5ba2\u89c2\u4e16\u754c\u771f\u5b9e\u7684\u6e29\u5ea6\uff0c\u540c\u65f6\u4e5f\u662f\u5236\u5b9a\u56fd\u9645\u534f\u8bae\u6e29\u6807\u7684\u57fa\u7840\uff0c\u662f\u4e00\u79cd\u6807\u5b9a\u3001\u91cf\u5316\u6e29\u5ea6\u7684\u65b9\u6cd5\u3002
\u70ed\u529b\u5b66\u6e29\u5ea6\u53c8\u88ab\u79f0\u4e3a\u7edd\u5bf9\u6e29\u5ea6\uff0c\u662f\u70ed\u529b\u5b66\u548c\u7edf\u8ba1\u7269\u7406\u4e2d\u7684\u91cd\u8981\u53c2\u6570\u4e4b\u4e00\u3002\u4e00\u822c\u6240\u8bf4\u7684\u7edd\u5bf9\u96f6\u5ea6\u6307\u7684\u4fbf\u662f0K\uff0c\u5bf9\u5e94\u96f6\u4e0b273.15\u6444\u6c0f\u5ea6\u3002
\u6269\u5c55\u8d44\u6599\uff1a
\u5f00\u6c0f\u5ea6\u7531\u6765\uff1a
\u5f00\u5c14\u6587\u662f\u56e0\u82f1\u56fd\u79d1\u5b66\u5bb6\u5f00\u5c14\u6587\u59d3\u6c0f\u800c\u5f97\u540d\u7684\u70ed\u529b\u5b66\u6e29\u5ea6\u5355\u4f4d\u30021848\u5e74\uff0c\u82f1\u56fd\u79d1\u5b66\u5bb6\u5a01\u5ec9\u00b7\u6c64\u59c6\u900a\u9996\u5148\u63d0\u51fa\u201c\u70ed\u529b\u5b66\u6e29\u5ea6\u201d\u7406\u8bba\uff0c\u5e76\u5f88\u5feb\u5f97\u5230\u56fd\u9645\u4e0a\u7684\u627f\u8ba4\u30021854\u5e74\uff0c\u5a01\u5ec9\u00b7\u6c64\u59c6\u900a\u63d0\u51fa\uff0c\u53ea\u8981\u9009\u5b9a\u4e00\u4e2a\u56fa\u5b9a\u70b9\uff0c\u5c31\u80fd\u786e\u5b9a\u70ed\u529b\u5b66\u6e29\u5ea6\u7684\u5355\u4f4d\u3002 [2]
\u65e9\u57281787\u5e74\u6cd5\u56fd\u7269\u7406\u5b66\u5bb6\u67e5\u7406\uff08J.Charles\uff09\u5c31\u53d1\u73b0\uff0c\u5728\u538b\u529b\u4e00\u5b9a\u65f6\uff0c\u6e29\u5ea6\u6bcf\u5347\u9ad81\u2103\uff0c\u4e00\u5b9a\u91cf\u6c14\u4f53\u7684\u4f53\u79ef\u7684\u589e\u52a0\u503c\uff08\u81a8\u80c0\u7387\uff09\u662f\u4e00\u4e2a\u5b9a\u503c\uff0c\u4f53\u79ef\u81a8\u80c0\u91cf\u4e0e\u6e29\u5ea6\u5448\u7ebf\u6027\u5173\u7cfb\u3002
\u8d77\u521d\u7684\u5b9e\u9a8c\u5f97\u51fa\u8be5\u5b9a\u503c\u4e3a\u6c14\u4f53\u57280\u2103\u65f6\u7684\u4f53\u79ef\u76841/269\uff0c\u540e\u6765\u7ecf\u8bb8\u591a\u4eba\u5386\u7ecf\u51e0\u5341\u5e74\u7684\u5b9e\u9a8c\u4fee\u6b63\uff0c\u5176\u4e2d\u7279\u522b\u662f1802\u5e74\u6cd5\u56fd\u4eba\u76d6\u00b7\u5415\u8428\u514b\uff08J.L.Gay-Lussac\uff09\u7684\u5de5\u4f5c\uff0c\u6700\u540e\u786e\u5b9a\u8be5\u503c1/273.15\u3002\u5c06\u4e0a\u8ff0\u6c14\u4f53\u4f53\u79ef\u4e0e\u6e29\u5ea6\u7684\u5173\u7cfb\u7528\u516c\u5f0f\u6765\u8868\u793a\uff0c\u5f62\u5f0f\u5982\u4e0b\uff1a
V=V0\uff081+t/273.15\uff09=V0\uff08t+273.15\uff09/273.15
\u5f0f\u4e2dV\u662f\u6444\u6c0f\u6e29\u5ea6\u4e3at/\u2103\u65f6\u7684\u6c14\u4f53\u4f53\u79ef\u3002\u82e5\u5b9a\u4e49t+273.15\u2261T\uff08\u4e8e\u662f0\u2103+273.15=T0\uff09\uff0c\u4e0a\u8ff0\u5173\u7cfb\u5c31\u53ef\u4ee5\u7528\u5f62\u5f0f\u66f4\u7b80\u5355\u7684\u516c\u5f0f\u6765\u8868\u8fbe\uff1aV/T=V0/T0\uff0c\u8fdb\u4e00\u6b65\u770b\uff0cV1/T1=V0/T0\uff0cV2/T2=V0/T0\uff0c\u81ea\u7136\u6709V1/T1=V2/T2\uff0c\u5373\u5728\u4efb\u4f55\u6e29\u5ea6\u4e0b\u4e00\u5b9a\u91cf\u7684\u6c14\u4f53\uff0c\u5728\u538b\u529b\u4e00\u5b9a\u65f6\uff0c\u6c14\u4f53\u7684\u4f53\u79efV\u4e0e\u7528T\u4e3a\u6e29\u6807\u8868\u793a\u7684\u6e29\u5ea6\u6210\u6b63\u6bd4\u3002
\u8fd9\u53eb\u505a\u67e5\u7406-\u76d6\u00b7\u5415\u8428\u514b\u5b9a\u5f8b\u3002\u4e8b\u5b9e\u4e0a\u8fd9\u79cd\u5173\u7cfb\u53ea\u9002\u7528\u4e8e\u7406\u60f3\u6c14\u4f53\u3002\u4e3a\u6b64\uff0c\u4eba\u4eec\u8d77\u5148\u628aT\u79f0\u4e3a\u7406\u60f3\u6c14\u4f53\u6e29\u5ea6\uff08\u6e29\u6807\uff09\uff0c\u53c8\u53eb\u7edd\u5bf9\u6e29\u5ea6\uff08\u6e29\u6807\uff09\u3002
\u53c2\u8003\u8d44\u6599\uff1a\u767e\u5ea6\u767e\u79d1-\u70ed\u529b\u5b66\u6e29\u5ea6
tan0\u5ea6=0 \uff0ctan90\u5ea6\u4e0d\u5b58\u5728\u3002
tan\uff082k\u03c0+\u03b1\uff09=tan \u03b1
tan(\u03c0/2-\u03b1\uff09=cot \u03b1
tan\uff08\u03c0/2+\u03b1\uff09=-cot \u03b1
tan\uff08\u03c0+\u03b1\uff09=tan \u03b1
tan\uff08\u03c0-\u03b1\uff09=-tan \u03b1
\u82e5\u5c06\u03b8\u653e\u5728\u76f4\u89d2\u5750\u6807\u7cfb\u4e2d\u5373tan\u03b8=y/x\u3002tanA=\u5bf9\u8fb9/\u90bb\u8fb9\u3002\u5728\u76f4\u89d2\u5750\u6807\u7cfb\u4e2d\u76f8\u5f53\u4e8e\u76f4\u7ebf\u7684\u659c\u7387k\u3002
\u5c06\u89d2\u5ea6\u4e58\u4ee5 \u03c0/180 \u5373\u53ef\u8f6c\u6362\u4e3a\u5f27\u5ea6\uff0c\u5c06\u5f27\u5ea6\u4e58\u4ee5 180/\u03c0 \u5373\u53ef\u8f6c\u6362\u4e3a\u89d2\u5ea6\u3002
\u5728\u76f4\u89d2\u5750\u6807\u7cfb\u4e2d\uff0ctano=y/x\uff0c\u5982\u4e0b\u56fe\u6240\u793a\uff1a
\u5f53y=0\u65f6\u5019\uff0c\u89d2o\u7b49\u4e8e0\uff0c\u6b64\u65f6tan0\u00b0=0/x=0\u3002
\u6269\u5c55\u8d44\u6599\u7528tan(a/2)\u8868\u793a\u89d2a\u7684\u4e09\u89d2\u51fd\u6570\uff08\u5176\u4e2dtan^2(a/2)=tan(a/2)*tan(a/2)\uff09
sin\u03b1=\uff082tan(a/2)\uff09/\uff081+tan^2(a/2)\uff09
cos\u03b1=\uff081-tan^2(a/2)\uff09/\uff081+tan^2(a/2)\uff09
tan\u03b1=\uff082tan(a/2)\uff09/\uff081-tan^2(a/2)\uff09
cot\u03b1=\uff081-tan^2(a/2\uff09\uff09/\uff082tan(a/2)\uff09
sec\u03b1=\uff081+tan^2(a/2)\uff09/\uff081-tan^2(a/2)\uff09
csc\u03b1=\uff081+tan^2(a/2)\uff09/\uff082tan(a/2)\uff09
解：
1开尔文的温升（降）=1摄氏度的温升（降）
0K=-273.15℃
1K=1-273.15℃
=-272.15℃
温度差相等。数值相差273.15
绛旓細涓寮锛堝紑灏旀枃锛夌瓑浜庝竴鎽勬皬搴锛-273.15鈩=0K
绛旓細1寮姘忓害锛圞锛夛紳锛272.15鎽勬皬搴︼紙鈩冿級銆傚紑姘忓害鏄竴涓儹鍔涘娓╁害锛屽張绉板紑灏旀枃娓╂爣銆佺粷瀵规俯鏍囷紝绠绉板紑姘忔俯鏍囷紝鏄浗闄呭崟浣嶅埗涓冧釜鍩烘湰鐗╃悊閲忎箣涓锛屽崟浣嶄负寮灏旀枃锛岀畝绉板紑锛岀鍙蜂负鈥淜鈥濄傚叾鎻忚堪鐨勬槸瀹㈣涓栫晫鐪熷疄鐨勬俯搴︼紝鍚屾椂涔熸槸鍒跺畾鍥介檯鍗忚娓╂爣鐨勫熀纭锛屾槸涓绉嶆爣瀹氥侀噺鍖栨俯搴︾殑鏂规硶銆傜儹鍔涘娓╁害鍙堣绉颁负缁濆...
绛旓細涓寮寮忓害绛変簬涓鎽勬皬搴
绛旓細1寮姘忓害(K)=-272.15鎽勬皬搴(鈩)銆傜儹鍔涘娓╁害鍙堣绉颁负缁濆娓╁害锛屾槸鐑姏瀛﹀拰缁熻鐗╃悊涓殑閲嶈鍙傛暟涔嬩竴銆備竴鑸墍璇寸殑缁濆闆跺害鎸囩殑渚挎槸0K锛屽搴旈浂涓273.15鎽勬皬搴︺傝绠楀叕寮忓強璁＄畻杩囩▼锛氱儹鍔涘娓╁害涓庢憚姘忓害鎹㈢畻琛ㄨ揪寮忎负锛歍=t+273.15鈩冦傚叾涓殑T鏄寚寮姘忓害銆傝宼鏄寚鎽勬皬搴︺傚洜姝わ紝1寮姘忓害(K)=-272...
绛旓細绾︿负锛273鈩冿紝绮剧‘鐨勮鏄-273.15鈩銆傛牴鎹姩鍔涘鐞嗚锛屽綋娓╁害鍦ㄧ粷瀵归浂搴︽椂锛屾皵浣撳垎瀛愮殑鍔ㄨ兘涓洪浂銆備负浜嗘柟渚胯捣瑙併傚紑姘忔俯搴﹁鐨勫埢搴﹀崟浣嶄笌鎽勬皬娓╁害璁′笂鐨勫埢搴﹀崟浣嶇浉涓鑷达紝涔熷氨鏄锛屽紑姘忔俯搴﹁涓婄殑涓搴︾瓑浜庢憚姘忔俯搴﹁涓婄殑涓搴︼紝姘寸殑鍑濆浐鐐规憚姘忔俯搴﹁涓0鈩冿紝寮姘忔俯搴﹁涓273.15掳K銆
绛旓細寮灏旀枃(K)=273.15+鎽勬皬搴(T)寮灏旀枃锛圞elvins锛夛紝涓虹儹鍔涘娓╂爣鎴栫О缁濆娓╂爣锛屾槸鍥介檯鍗曚綅鍒朵腑鐨勬俯搴﹀崟浣嶃傚紑灏旀枃娓╁害甯哥敤绗﹀彿K琛ㄧず锛屽叾鍗曚綅涓哄紑銆傛瘡鍙樺寲1K鐩稿綋浜庡彉鍖1鈩冿紝璁＄畻璧风偣涓嶅悓銆傛憚姘忓害浠ュ啺姘存贩鍚堢墿鐨勬俯搴︿负璧风偣锛岃屽紑灏旀枃鏄互缁濆闆跺害浣滀负璁＄畻璧风偣锛屽嵆-273.15鈩=0K銆
绛旓細1K绛変簬璐272.15鎽勬皬搴︺傚紑灏旀枃涓虹儹鍔涘娓╂爣鎴栫О缁濆娓╂爣锛屾槸鍥介檯鍗曚綅鍒朵腑鐨勬俯搴﹀崟浣嶏紝绗﹀彿鏄疜锛屾槸鍥介檯鍗曚綅鍒朵竷涓熀鏈噺绾蹭箣涓銆傚紑灏旀枃娓╁害甯哥敤绗﹀彿K琛ㄧず锛屽叾鍗曚綅涓哄紑锛1寮灏旀枃涓1鎽勬皬搴﹀ぇ灏忕浉绛夛紝浣嗚绠楄捣鐐逛笉鍚.鎽勬皬搴︿互鍐版按娣峰悎鐗╃殑娓╁害涓鸿捣鐐癸紝鑰屽紑灏旀枃鏄互缁濆闆跺害浣滀负璁＄畻璧风偣锛屽嵆璐273銆15鎽勬皬搴...
绛旓細寮灏旀枃锛圞锛,鏄浗闄呭崟浣嶅埗7涓熀鏈崟浣嶄箣涓 鎽勬皬娓╁害锛氫互绾按鍦ㄤ竴涓爣鍑嗗ぇ姘斿帇涓嬬殑鍥恒佹恫銆佹皵涓夌浉鍏卞瓨鐐癸紙273.15K锛変綔涓0搴,涓涓爣鍑嗗ぇ姘斿帇涓,绾按鐨勬哺鐐逛负100搴,灏嗚繖涓や釜閲忕殑宸肩殑1/100涓1搴.鍏跺疄1K澧為噺鍦ㄦ暟鍊间笂绛変簬鎽勬皬搴1鈩冨閲.鑰屼袱鑰呭湪璁＄畻鏃堕氳繃浠ヤ笅鍏紡璁＄畻锛歍锛坘锛=t锛堚剝锛+273.15,...
绛旓細1鎽勬皬搴=274.15k锛屾崲绠楀叕寮忔槸锛氬紑姘忓害=鎽勬皬搴+273.15锛屾墍浠ワ紝25鎽勬皬搴+273.15=298寮姘忓害銆傛憚姘忓害涓烘俯鏍囧崟浣嶏紝鏄憺鍏稿ぉ鏂囧瀹跺畨寰锋柉路鎽勫皵淇柉浜1742骞存彁鍑虹殑锛屽叾鍚庡巻缁忔敼杩涖傛憚姘忓害鐨勫惈涔夋槸鎸囧湪1鏍囧噯澶ф皵鍘嬩笅锛岀函鍑鐨勫啺姘存贩鍚堢墿鐨勬俯搴︿负0鎽勬皬搴︼紝姘寸殑娌哥偣涓100鎽勬皬搴︺傜儹鍔涘娓╁害锛屽張绉板紑灏旀枃娓╂爣...
绛旓細1 鎽勬皬搴=274.15 寮姘忓害 鎽勬皬搴︽槸鐩墠涓栫晫浣跨敤姣旇緝骞挎硾鐨勪竴绉嶆俯鏍囥傚崕姘忓害鏄痉鍥戒汉娉曞嫆娴风壒浠ユ按閾朵负娴嬫俯浠嬭川銆傚紑姘忔俯搴︽槸鑻卞浗鐗╃悊瀛﹀寮灏旀枃鍦1948骞村缓绔嬬殑涓绉嶄笌浠讳綍鐗╃悊鎬ц川鏃犲叧鐨勭儹鍔涘娓╂爣銆傚紑姘忔俯搴︿篃绉扮粷瀵规俯鏍囷紝浠琛ㄧず锛屾俯搴﹀崟浣嶄互K琛ㄧず銆傜粷瀵规俯搴0搴︼紝绛変簬鎽勬皬-273.15鈩冿紝杩欐槸鎽勬皬琛ㄧず鐨勬俯搴...
