所有数学的公式、符号并解释,有图就更好了!!急急急急!! 有谁知道所有数学符号的意义

\u8bf7\u95eeWPS\u4e2d\uff0c\u8fd9\u4e2a\u6570\u5b66\u516c\u5f0f\uff0c\u5206\u6bb5\u51fd\u6570\uff0c\u7528\u5230\u5927\u62ec\u53f7\u7684\uff0c\u600e\u4e48\u6253\u51fa\u6765\uff1f\u6025\u9700\uff0c\u6025\u6025\u6025\u6025\u6025\u6025\u6025\uff01\uff01\uff01

\u60a8\u597d\uff0c\u5f88\u9ad8\u5174\u4e3a\u60a8\u89e3\u7b54\uff01

1\u3001\u5148\u6253\u5f00\u201c\u63d2\u5165\u201d\u83dc\u5355\uff0c\u9009\u62e9\u201c\u7279\u6b8a\u7b26\u53f7\u2192\u6570\u5b66\u516c\u5f0f\u201d\uff0c\u9009\u62e9\u201c\u4e00\u7ec4\u6570\u5b66\u516c\u5f0f\u201d\uff0c\u6b64\u65f6\u5c4f\u5e55\u4e0a\u51fa\u73b0\u4e00\u4e2a\u5927\u7684\u865a\u6846\uff0c\u8fd9\u4e2a\u865a\u6846\u5c31\u662f\u516c\u5f0f\u7f16\u8f91\u533a\u3002



\u3000\u30002\u3001\u8f93\u5165\u201cy =\u201d\uff0c\u6ce8\u610f\u5728\u7f16\u8f91\u516c\u5f0f\u7684\u65f6\u5019\uff0c\u5728\u52a0\u51cf\u4e58\u9664\u53f7\u8fd9\u4e9b\u7b26\u53f7\u5de6\u53f3\u7559\u51fa\u7a7a\u683c\uff0c\u8fd9\u6837\u6bd4\u8f83\u9192\u76ee\u548c\u7f8e\u89c2\u3002
\u3000\u30003\u3001\u6253\u5f00\u201c\u63d2\u5165\u201d\u83dc\u5355\uff0c\u9009\u62e9\u201c\u6570\u5b66\u516c\u5f0f\u201d\uff0c\u9009\u62e9\u201c\u5206\u5f0f\u3001\u9664\u5f0f\u201d\uff0c\u9009\u62e9\u201c\u4e00\u822c\u5206\u5f0f\u201d\u3002
\u3000\u3000\u6b64\u65f6\u7b49\u53f7\u53f3\u8fb9\u51fa\u73b0\u4e00\u4e2a\u5206\u5f0f\u7684\u96cf\u5f62 \uff0c\u5149\u6807\u5728\u5206\u5b50\u5904\u95ea\u70c1\u3002\u6211\u4eec\u8f93\u5165\u5206\u5b50\u201c1\u201d\uff0c\u7136\u540e\u6309\u5411\u4e0b\u7684\u65b9\u5411\u952e\uff0c\u5728\u8f93\u5165\u5206\u6bcd\u201c2\u201d\uff0c\u6309\u5411\u53f3\u65b9\u5411\u952e\uff0c\u628a\u5149\u6807\u79fb\u5230\u5206\u5f0f\u540e\u9762\u5782\u76f4\u6b63\u4e2d\u7684\u4f4d\u7f6e\uff0c\u5148\u8f93\u5165\u4e00\u4e2a\u7a7a\u683c\uff0c\u518d\u8f93\u5165x\uff0c\u5373
\u3000\u30004\u3001\u6253\u5f00\u201c\u63d2\u5165\u201d\u83dc\u5355\uff0c\u9009\u62e9\u201c\u6570\u5b66\u516c\u5f0f\u201d\uff0c\u9009\u62e9\u201c\u4e0a\u4e0b\u6807\u5f0f\u201d \uff0c\u5728\u4e0a\u6807\u5904\u8f93\u5165\u201c2\u201d\uff0c\u4e0b\u6807\u4e0d\u7528\u7ba1\uff0c\u5373\u6309\u5411\u53f3\u7684\u65b9\u5411\u952e\u628a\u5149\u6807\u79fb\u5230\u540e\u9762\uff0c\u7ee7\u7eed\u8f93\u5165\u201c3x+4\u201d\u3002
\u3000\u30005\u3001\u516c\u5f0f\u7f16\u8f91\u5b8c\u6210\u540e\uff0c\u5355\u51fb\u516c\u5f0f\u7f16\u8f91\u533a\u4ee5\u5916\u7684\u5730\u65b9\u5c31\u53ef\u4ee5\u53d6\u6d88\u516c\u5f0f\u7f16\u8f91\u72b6\u6001\u3002\u53ef\u4ee5\u7528\u62d6\u52a8\u7684\u65b9\u6cd5\u6765\u6539\u53d8\u5b83\u7684\u4f4d\u7f6e\uff0c\uff0c\u5728\u516c\u5f0f\u4e0a\u9762\u5355\u51fb\u9f20\u6807\u53f3\u952e\uff0c\u9009\u62e9\u201c\u6392\u7248\u4f4d\u7f6e\u201d\uff0c\u9009\u62e9\u201c\u5c3e\u968f\u6587\u5b57\u540e\u201d\uff0c\u8fd9\u6837\uff0c\u4ee5\u540e\u5c31\u4e0d\u7528\u518d\u5355\u72ec\u8003\u8651\u8fd9\u4e2a\u516c\u5f0f\u7684\u6392\u7248\u4f4d\u7f6e\u4e86\u3002
\u5982\u679c\u60a8\u6709\u8bba\u6587\u6392\u7248\u3001\u6a21\u7248\u4e0b\u8f7d\u3001\u8bba\u6587\u9047\u5230\u96be\u9898\uff0c\u53ef\u4ee5\u8bbf\u95ee\uff1ahttp://docer.wps.cn/zt/lunwen?from=qyzd
\u66f4\u591aWPS\u529e\u516c\u8f6f\u4ef6\u6559\u7a0b\uff0c\u8bf7\u8bbf\u95ee\uff1ahttp://bbs.wps.cn\uff0c\u795d\u4f60\u4f7f\u7528\u6109\u5feb\uff0c\u8c22\u8c22
\u5982\u6709\u7591\u95ee\uff0c\u8bf7\u70b9\u51fb\u6211\u7684\u5934\u50cf\u63d0\u95ee\u3002\u795d\u60a8\u751f\u6d3b\u6109\u5feb\uff01

\u3000\u3000\u6570\u5b66\u7b26\u53f7\u4e00\u822c\u6709\u4ee5\u4e0b\u51e0\u79cd\uff1a

\u3000\u3000\uff081\uff09\u6570\u91cf\u7b26\u53f7\uff1a\u5982 :i\uff0c2\uff0b i\uff0ca\uff0cx\uff0c\u81ea\u7136\u5bf9\u6570\u5e95e\uff0c\u5706\u5468\u7387 \u220f\u3002

\u3000\u3000\uff082\uff09\u8fd0\u7b97\u7b26\u53f7\uff1a\u5982\u52a0\u53f7\uff08+\uff09\uff0c\u51cf\u53f7\uff08-\uff09\uff0c\u4e58\u53f7\uff08\u00d7\u6216\u00b7\uff09\uff0c\u9664\u53f7\uff08\u00f7\u6216\uff0f\uff09\uff0c\u4e24\u4e2a\u96c6\u5408\u7684\u5e76\u96c6\uff08\u222a\uff09\uff0c\u4ea4\u96c6\uff08\u2229\uff09\uff0c\u6839\u53f7\uff08 \uff09\uff0c\u5bf9\u6570\uff08log\uff0clg\uff0cln\uff09\uff0c\u6bd4\uff08\u2236\uff09\uff0c\u5fae\u5206\uff08d\uff09\uff0c\u79ef\u5206\uff08\u222b\uff09\u7b49\u3002

\u3000\u3000\uff083\uff09\u5173\u7cfb\u7b26\u53f7\uff1a\u5982\u201c=\u201d\u662f\u7b49\u53f7\uff0c\u201c\u2248\u201d\u6216\u201c \u201d\u662f\u8fd1\u4f3c\u7b26\u53f7\uff0c\u201c\u2260\u201d\u662f\u4e0d\u7b49\u53f7\uff0c\u201c\uff1e\u201d\u662f\u5927\u4e8e\u7b26\u53f7\uff0c\u201c\uff1c\u201d\u662f\u5c0f\u4e8e\u7b26\u53f7\uff0c\u201c \u201d\u8868\u793a\u53d8\u91cf\u53d8\u5316\u7684\u8d8b\u52bf\uff0c\u201c\u223d\u201d\u662f\u76f8\u4f3c\u7b26\u53f7\uff0c\u201c\u224c\u201d\u662f\u5168\u7b49\u53f7\uff0c\u201c\u2016\u201d\u662f\u5e73\u884c\u7b26\u53f7\uff0c\u201c\u22a5\u201d\u662f\u5782\u76f4\u7b26\u53f7\uff0c\u201c\u221d\u201d\u662f\u6b63\u6bd4\u4f8b\u7b26\u53f7\uff0c\u201c\u2208\u201d\u662f\u5c5e\u4e8e\u7b26\u53f7\u7b49\u3002

\u3000\u3000\uff084\uff09\u7ed3\u5408\u7b26\u53f7\uff1a\u5982\u5706\u62ec\u53f7\u201c\uff08\uff09\u201d\u65b9\u62ec\u53f7\u201c[]\u201d\uff0c\u82b1\u62ec\u53f7\u201c{}\u201d\u62ec\u7ebf\u201c\u2014\u201d

\u3000\u3000\uff085\uff09\u6027\u8d28\u7b26\u53f7\uff1a\u5982\u6b63\u53f7\u201c+\u201d\uff0c\u8d1f\u53f7\u201c-\u201d\uff0c\u7edd\u5bf9\u503c\u7b26\u53f7\u201c\u2016\u201d

\u3000\u3000\uff086\uff09\u7701\u7565\u7b26\u53f7\uff1a\u5982\u4e09\u89d2\u5f62\uff08\u25b3\uff09\uff0c\u6b63\u5f26\uff08sin\uff09\uff0cX\u7684\u51fd\u6570\uff08f(x)\uff09\uff0c\u6781\u9650\uff08lim\uff09\uff0c\u56e0\u4e3a\uff08\u2235\uff09\uff0c\u6240\u4ee5\uff08\u2234\uff09\uff0c\u603b\u548c\uff08\u2211\uff09\uff0c\u8fde\u4e58\uff08\u220f\uff09\uff0c\u4eceN\u4e2a\u5143\u7d20\u4e2d\u6bcf\u6b21\u53d6\u51faR\u4e2a\u5143\u7d20\u6240\u6709\u4e0d\u540c\u7684\u7ec4\u5408\u6570\uff08C \uff09\uff0c\u5e42\uff08aM\uff09\uff0c\u9636\u4e58\uff08\uff01\uff09\u7b49\u3002

\u3000\u3000\u7b26\u53f7 \u610f\u4e49
\u3000\u3000\u221e \u65e0\u7a77\u5927
\u3000\u3000PI \u5706\u5468\u7387
\u3000\u3000|x| \u51fd\u6570\u7684\u7edd\u5bf9\u503c
\u3000\u3000\u222a \u96c6\u5408\u5e76
\u3000\u3000\u2229 \u96c6\u5408\u4ea4
\u3000\u3000\u2265 \u5927\u4e8e\u7b49\u4e8e
\u3000\u3000\u2264 \u5c0f\u4e8e\u7b49\u4e8e
\u3000\u3000\u2261 \u6052\u7b49\u4e8e\u6216\u540c\u4f59
\u3000\u3000ln(x) \u4ee5e\u4e3a\u5e95\u7684\u5bf9\u6570
\u3000\u3000lg(x) \u4ee510\u4e3a\u5e95\u7684\u5bf9\u6570
\u3000\u3000floor(x) \u4e0a\u53d6\u6574\u51fd\u6570
\u3000\u3000ceil(x) \u4e0b\u53d6\u6574\u51fd\u6570
\u3000\u3000x mod y \u6c42\u4f59\u6570
\u3000\u3000{x} \u5c0f\u6570\u90e8\u5206 x - floor(x)
\u3000\u3000\u222bf(x)\u03b4x \u4e0d\u5b9a\u79ef\u5206
\u3000\u3000\u222b[a:b]f(x)\u03b4x a\u5230b\u7684\u5b9a\u79ef\u5206

\u3000\u3000P\u4e3a\u771f\u7b49\u4e8e1\u5426\u5219\u7b49\u4e8e0
\u3000\u3000\u2211[1\u2264k\u2264n]f(k) \u5bf9n\u8fdb\u884c\u6c42\u548c,\u53ef\u4ee5\u62d3\u5e7f\u81f3\u5f88\u591a\u60c5\u51b5
\u3000\u3000\u5982\uff1a\u2211[n is prime][n < 10]f(n)
\u3000\u3000\u2211\u2211[1\u2264i\u2264j\u2264n]n^2
\u3000\u3000lim f(x) (x->?) \u6c42\u6781\u9650
\u3000\u3000f(z) f\u5173\u4e8ez\u7684m\u9636\u5bfc\u51fd\u6570
\u3000\u3000C(n:m) \u7ec4\u5408\u6570,n\u4e2d\u53d6m
\u3000\u3000P(n:m) \u6392\u5217\u6570
\u3000\u3000m|n m\u6574\u9664n
\u3000\u3000m\u22a5n m\u4e0en\u4e92\u8d28
\u3000\u3000a \u2208 A a\u5c5e\u4e8e\u96c6\u5408A
\u3000\u3000#A \u96c6\u5408A\u4e2d\u7684\u5143\u7d20\u4e2a\u6570
\u3000\u3000\u56de\u7b54\u8005\uff1atzzjh - \u52a9\u7406 \u4e8c\u7ea7 11-9 10:49

\u3000\u3000--------------------------------------------------------------------------------

\u3000\u3000\uff081\uff09\u6570\u91cf\u7b26\u53f7

\u3000\u3000\uff082\uff09\u8fd0\u7b97\u7b26\u53f7\uff1a\u5982\u52a0\u53f7\uff08+\uff09\uff0c\u51cf\u53f7\uff08-\uff09\uff0c\u4e58\u53f7\uff08\u00d7\u6216\u00b7\uff09\uff0c\u9664\u53f7\uff08\u00f7\u6216\uff0f\uff09\uff0c\u4e24\u4e2a\u96c6\u5408\u7684\u5e76\u96c6\uff08\u222a\uff09\uff0c\u4ea4\u96c6\uff08\u2229\uff09\uff0c\u6839\u53f7\uff08 \uff09\uff0c\u5bf9\u6570\uff08log\uff0clg\uff0cln\uff09\uff0c\u6bd4\uff08\u2236\uff09\u7b49\u3002

\u3000\u3000\uff083\uff09\u5173\u7cfb\u7b26\u53f7\uff1a\u5982\u201c=\u201d\u662f\u7b49\u53f7\uff0c\u201c\u2248\u201d\u6216\u201c \u201d\u662f\u8fd1\u4f3c\u7b26\u53f7\uff0c\u201c\u2260\u201d\u662f\u4e0d\u7b49\u53f7\uff0c\u201c\uff1e\u201d\u662f\u5927\u4e8e\u7b26\u53f7\uff0c\u201c\uff1c\u201d\u662f\u5c0f\u4e8e\u7b26\u53f7\uff0c\u201c \u201d\u8868\u793a\u53d8\u91cf\u53d8\u5316\u7684\u8d8b\u52bf\uff0c\u201c\u223d\u201d\u662f\u76f8\u4f3c\u7b26\u53f7\uff0c\u201c\u224c\u201d\u662f\u5168\u7b49\u53f7\uff0c\u201c\u2016\u201d\u662f\u5e73\u884c\u7b26\u53f7\uff0c\u201c\u22a5\u201d\u662f\u5782\u76f4\u7b26\u53f7\uff0c\u201c\u221d\u201d\u662f\u6b63\u6bd4\u4f8b\u7b26\u53f7\uff0c\u201c\u2208\u201d\u662f\u5c5e\u4e8e\u7b26\u53f7\u7b49\u3002

\u3000\u3000\uff084\uff09\u7ed3\u5408\u7b26\u53f7\uff1a\u5982\u5706\u62ec\u53f7\u201c\uff08\uff09\u201d\u65b9\u62ec\u53f7\u201c[]\u201d\uff0c\u82b1\u62ec\u53f7\u201c{}\u201d\u62ec\u7ebf\u201c\u2014\u201d

\u3000\u3000\uff085\uff09\u6027\u8d28\u7b26\u53f7\uff1a\u5982\u6b63\u53f7\u201c+\u201d\uff0c\u8d1f\u53f7\u201c-\u201d\uff0c\u7edd\u5bf9\u503c\u7b26\u53f7\u201c\u2016\u201d

\u3000\u3000\uff086\uff09\u7701\u7565\u7b26\u53f7\uff1a\u5982\u4e09\u89d2\u5f62\uff08\u25b3\uff09\uff0c\u6b63\u5f26\uff08sin\uff09\uff0cX\u7684\u51fd\u6570\uff08f(x)\uff09\uff0c\u6781\u9650\uff08lim\uff09\uff0c\u56e0\u4e3a\uff08\u2235\uff09\uff0c\u6240\u4ee5\uff08\u2234\uff09\uff0c\u603b\u548c\uff08\u2211\uff09\uff0c\u8fde\u4e58\uff08\u220f\uff09\uff0c\u4eceN\u4e2a\u5143\u7d20\u4e2d\u6bcf\u6b21\u53d6\u51faR\u4e2a\u5143\u7d20\u6240\u6709\u4e0d\u540c\u7684\u7ec4\u5408\u6570\uff08C \uff09\uff0c\u5e42\uff08aM\uff09\uff0c\u9636\u4e58\uff08\uff01\uff09\u7b49\u3002

\u3000\u3000\u7b26\u53f7 \u610f\u4e49
\u3000\u3000\u221e \u65e0\u7a77\u5927
\u3000\u3000PI \u5706\u5468\u7387
\u3000\u3000|x| \u51fd\u6570\u7684\u7edd\u5bf9\u503c
\u3000\u3000\u222a \u96c6\u5408\u5e76
\u3000\u3000\u2229 \u96c6\u5408\u4ea4
\u3000\u3000\u2265 \u5927\u4e8e\u7b49\u4e8e
\u3000\u3000\u2264 \u5c0f\u4e8e\u7b49\u4e8e
\u3000\u3000\u2261 \u6052\u7b49\u4e8e\u6216\u540c\u4f59
\u3000\u3000ln(x) \u4ee5e\u4e3a\u5e95\u7684\u5bf9\u6570
\u3000\u3000lg(x) \u4ee510\u4e3a\u5e95\u7684\u5bf9\u6570
\u3000\u3000floor(x) \u4e0a\u53d6\u6574\u51fd\u6570
\u3000\u3000ceil(x) \u4e0b\u53d6\u6574\u51fd\u6570
\u3000\u3000x mod y \u6c42\u4f59\u6570
\u3000\u3000{x} \u5c0f\u6570\u90e8\u5206 x - floor(x)
\u3000\u3000\u222bf(x)\u03b4x \u4e0d\u5b9a\u79ef\u5206
\u3000\u3000\u222b[a:b]f(x)\u03b4x a\u5230b\u7684\u5b9a\u79ef\u5206

\u3000\u3000P\u4e3a\u771f\u7b49\u4e8e1\u5426\u5219\u7b49\u4e8e0
\u3000\u3000\u2211[1\u2264k\u2264n]f(k) \u5bf9n\u8fdb\u884c\u6c42\u548c,\u53ef\u4ee5\u62d3\u5e7f\u81f3\u5f88\u591a\u60c5\u51b5
\u3000\u3000\u5982\uff1a\u2211[n is prime][n < 10]f(n)
\u3000\u3000\u2211\u2211[1\u2264i\u2264j\u2264n]n^2
\u3000\u3000lim f(x) (x->?) \u6c42\u6781\u9650
\u3000\u3000f(z) f\u5173\u4e8ez\u7684m\u9636\u5bfc\u51fd\u6570
\u3000\u3000C(n:m) \u7ec4\u5408\u6570,n\u4e2d\u53d6m
\u3000\u3000P(n:m) \u6392\u5217\u6570
\u3000\u3000m|n m\u6574\u9664n
\u3000\u3000m\u22a5n m\u4e0en\u4e92\u8d28
\u3000\u3000a \u2208 A a\u5c5e\u4e8e\u96c6\u5408A
\u3000\u3000#A \u96c6\u5408A\u4e2d\u7684\u5143\u7d20\u4e2a\u6570
\u3000\u3000\u53f7 \u610f\u4e49
\u3000\u3000\u221e \u65e0\u7a77\u5927
\u3000\u3000PI \u5706\u5468\u7387
\u3000\u3000|x| \u51fd\u6570\u7684\u7edd\u5bf9\u503c
\u3000\u3000\u222a \u96c6\u5408\u5e76
\u3000\u3000\u2229 \u96c6\u5408\u4ea4
\u3000\u3000\u2265 \u5927\u4e8e\u7b49\u4e8e
\u3000\u3000\u2264 \u5c0f\u4e8e\u7b49\u4e8e
\u3000\u3000\u2261 \u6052\u7b49\u4e8e\u6216\u540c\u4f59
\u3000\u3000ln(x) \u4ee5e\u4e3a\u5e95\u7684\u5bf9\u6570
\u3000\u3000lg(x) \u4ee510\u4e3a\u5e95\u7684\u5bf9\u6570
\u3000\u3000floor(x) \u4e0a\u53d6\u6574\u51fd\u6570
\u3000\u3000ceil(x) \u4e0b\u53d6\u6574\u51fd\u6570
\u3000\u3000x mod y \u6c42\u4f59\u6570
\u3000\u3000{x} \u5c0f\u6570\u90e8\u5206 x - floor(x)
\u3000\u3000\u222bf(x)\u03b4x \u4e0d\u5b9a\u79ef\u5206
\u3000\u3000\u222b[a:b]f(x)\u03b4x a\u5230b\u7684\u5b9a\u79ef\u5206

\u3000\u3000P\u4e3a\u771f\u7b49\u4e8e1\u5426\u5219\u7b49\u4e8e0
\u3000\u3000\u2211[1\u2264k\u2264n]f(k) \u5bf9n\u8fdb\u884c\u6c42\u548c,\u53ef\u4ee5\u62d3\u5e7f\u81f3\u5f88\u591a\u60c5\u51b5
\u3000\u3000\u5982\uff1a\u2211[n is prime][n < 10]f(n)
\u3000\u3000\u2211\u2211[1\u2264i\u2264j\u2264n]n^2
\u3000\u3000lim f(x) (x->?) \u6c42\u6781\u9650
\u3000\u3000f(z) f\u5173\u4e8ez\u7684m\u9636\u5bfc\u51fd\u6570
\u3000\u3000C(n:m) \u7ec4\u5408\u6570,n\u4e2d\u53d6m
\u3000\u3000P(n:m) \u6392\u5217\u6570
\u3000\u3000m|n m\u6574\u9664n
\u3000\u3000m\u22a5n m\u4e0en\u4e92\u8d28
\u3000\u3000a \u2208 A a\u5c5e\u4e8e\u96c6\u5408A
\u3000\u3000#A \u96c6\u5408A\u4e2d\u7684\u5143\u7d20\u4e2a\u6570

公式分类 公式表达式

乘法与因式分 a2-b2=(a+b)(a-b) a3+b3=(a+b)(a2-ab+b2) a3-b3=(a-b(a2+ab+b2)

三角不等式 |a+b|≤|a|+|b| |a-b|≤|a|+|b| |a|≤b<=>-b≤a≤b

|a-b|≥|a|-|b| -|a|≤a≤|a|

一元二次方程的解 -b+√(b2-4ac)/2a -b-√(b2-4ac)/2a

根与系数的关系 X1+X2=-b/a X1*X2=c/a 注:韦达定理

判别式
b2-4ac=0 注:方程有两个相等的实根
b2-4ac>0 注:方程有两个不等的实根
b2-4ac<0 注:方程没有实根,有共轭复数根

三角函数公式

两角和公式
sin(A+B)=sinAcosB+cosAsinB sin(A-B)=sinAcosB-sinBcosA
cos(A+B)=cosAcosB-sinAsinB cos(A-B)=cosAcosB+sinAsinB
tan(A+B)=(tanA+tanB)/(1-tanAtanB) tan(A-B)=(tanA-tanB)/(1+tanAtanB)
ctg(A+B)=(ctgActgB-1)/(ctgB+ctgA) ctg(A-B)=(ctgActgB+1)/(ctgB-ctgA)

倍角公式
tan2A=2tanA/(1-tan2A) ctg2A=(ctg2A-1)/2ctga
cos2a=cos2a-sin2a=2cos2a-1=1-2sin2a

半角公式
sin(A/2)=√((1-cosA)/2) sin(A/2)=-√((1-cosA)/2)
cos(A/2)=√((1+cosA)/2) cos(A/2)=-√((1+cosA)/2)
tan(A/2)=√((1-cosA)/((1+cosA)) tan(A/2)=-√((1-cosA)/((1+cosA))
ctg(A/2)=√((1+cosA)/((1-cosA)) ctg(A/2)=-√((1+cosA)/((1-cosA))

和差化积
2sinAcosB=sin(A+B)+sin(A-B) 2cosAsinB=sin(A+B)-sin(A-B)
2cosAcosB=cos(A+B)-sin(A-B) -2sinAsinB=cos(A+B)-cos(A-B)
sinA+sinB=2sin((A+B)/2)cos((A-B)/2 cosA+cosB=2cos((A+B)/2)sin((A-B)/2)
tanA+tanB=sin(A+B)/cosAcosB tanA-tanB=sin(A-B)/cosAcosB
ctgA+ctgBsin(A+B)/sinAsinB -ctgA+ctgBsin(A+B)/sinAsinB

某些数列前n项和
1+2+3+4+5+6+7+8+9+…+n=n(n+1)/2 1+3+5+7+9+11+13+15+…+(2n-1)=n2
2+4+6+8+10+12+14+…+(2n)=n(n+1) 12+22+32+42+52+62+72+82+…+n2=n(n+1)(2n+1)/6
13+23+33+43+53+63+…n3=n2(n+1)2/4 1*2+2*3+3*4+4*5+5*6+6*7+…+n(n+1)=n(n+1)(n+2)/3

正弦定理 a/sinA=b/sinB=c/sinC=2R 注: 其中 R 表示三角形的外接圆半径

余弦定理 b2=a2+c2-2accosB 注:角B是边a和边c的夹角

圆的标准方程 (x-a)2+(y-b)2=r2 注:(a,b)是圆心坐标
圆的一般方程 x2+y2+Dx+Ey+F=0 注:D2+E2-4F>0
抛物线标准方程 y2=2px y2=-2px x2=2py x2=-2py

直棱柱侧面积 S=c*h 斜棱柱侧面积 S=c'*h
正棱锥侧面积 S=1/2c*h' 正棱台侧面积 S=1/2(c+c')h'
圆台侧面积 S=1/2(c+c')l=pi(R+r)l 球的表面积 S=4pi*r2
圆柱侧面积 S=c*h=2pi*h 圆锥侧面积 S=1/2*c*l=pi*r*l

弧长公式 l=a*r a是圆心角的弧度数r >0 扇形面积公式 s=1/2*l*r

锥体体积公式 V=1/3*S*H 圆锥体体积公式 V=1/3*pi*r2h
斜棱柱体积 V=S'L 注:其中,S'是直截面面积, L是侧棱长
柱体体积公式 V=s*h 圆柱体 V=pi*r2h

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