\u4e8c\u500d\u89d2\u516c\u5f0f\u662f\u901a\u8fc7\u89d2\u03b1\u7684\u4e09\u89d2\u51fd\u6570\u503c\u7684\u4e00\u4e9b\u53d8\u6362\u5173\u7cfb\u6765\u8868\u793a\u5176\u4e8c\u500d\u89d22\u03b1\u7684\u4e09\u89d2\u51fd\u6570\u503c\uff0c\u5b83\u5305\u62ec\u6b63\u5f26\u4e8c\u500d\u89d2\u516c\u5f0f\u3001\u4f59\u5f26\u4e8c\u500d\u89d2\u516c\u5f0f\u4ee5\u53ca\u6b63\u5207\u4e8c\u500d\u89d2\u516c\u5f0f\u3002\u4e8c\u500d\u89d2\u516c\u5f0f\u662f\u89e3\u51b3\u4e09\u89d2\u51fd\u6570\u76f8\u5173\u95ee\u9898\u9700\u8981\u7528\u5230\u7684\u516c\u5f0f\uff0c\u8981\u719f\u7ec3\u638c\u63e1\u3002<\/p>\n
\u4e8c\u500d\u89d2\u516c\u5f0f\u600e\u4e48\u63a8\u5bfc\uff1f<\/p>\n
\u5728\u4e8c\u89d2\u548c\u7684\u516c\u5f0f\u4e2d\u4ee4\u4e24\u4e2a\u89d2\u76f8\u7b49\uff08B=A\uff09\uff0c\u5c31\u5f97\u5230\u4e8c\u500d\u89d2\u516c\u5f0f\u3002<\/p>\n
sin\uff08A+B\uff09=sinAcosB+cosAsinB\uff1bsin2A=2sinAcosA\u3002<\/p>\n
cos\uff08A+B\uff09=cosAcosB-sinAsinB\uff1bcos2A=\uff08cosA\uff09^2-\uff08sinA\uff09^2=\uff081-\uff08sinA\uff09^2-\uff08sinA\uff09^2=1-2\uff08sinA\uff09^2=2\uff08cosA\uff09^2-1\u3002<\/p>\n
tan\uff08A+B\uff09=\uff08tanA+tanB\uff09\/\uff081-tanAtanB\uff09\uff1btan2A=2tanA\/\u30101-\uff08tanA\uff09^2\u3011\u3002<\/p>\n
\u5728\u4f59\u5f26\u7684\u4e8c\u500d\u89d2\u516c\u5f0f\u4e2d\uff0c\u89e3\u65b9\u7a0b\u5c31\u5f97\u5230\u534a\u89d2\u516c\u5f0f\u3002<\/p>\n
cosx=1-2\u3010sin\uff08x\/2\uff09\u3011^2\uff1bsin\uff08x\/2\uff09=\u00b1\u221a\u3010\uff081-cosx\uff09\/2\u3011\uff0c\u7b26\u53f7\u7531\uff08x\/2\uff09\u7684\u8c61\u9650\u51b3\u5b9a\u3002<\/p>\n
cosx=2\u3010cos\uff08x\/2\uff09\u3011^2\uff1bcos\uff08x\/2\uff09=\u00b1\u221a\u30101+cosx\uff09\/2\u3011\uff0c\u7b26\u53f7\u7531\uff08x\/2\uff09\u7684\u8c61\u9650\u51b3\u5b9a\u3002<\/p>\n
\u4e24\u5f0f\u7684\u4e24\u8fb9\u5206\u522b\u76f8\u9664\uff0c\u5f97\u5230\uff1a<\/p>\n
tan\uff08x\/2\uff09=\u00b1\u221a\u3010\uff081-cosx\uff09\/\uff081+cosx\uff09\u3011\u3002<\/p>\n
\u53c8tan\uff08x\/2\uff09=sin\uff08x\/2\uff09\/cos\uff08x\/2\uff09=2\u3010sin\uff08x\/2\uff09\u3011^2\/\u30102sin\uff08x\/2\uff09cos\uff08x\/2\uff09\u3011=\uff081-cosx\uff09\/sinx=sinx\/\uff081+cosx\uff09\u3002<\/p>\n
\u4e8c\u500d\u89d2\u516c\u5f0f\u600e\u4e48\u7528\uff1f<\/p>\n
\u4e8c\u500d\u89d2\u516c\u5f0f\u662f\u4e00\u4e2a\u4e09\u89d2\u51fd\u6570\u7684\u516c\u5f0f\uff0c\u7528\u6765\u8ba1\u7b97\u89d2\u5ea6\u76842\u500d\u5927\u5c0f\u6240\u5bf9\u5e94\u7684\u4e09\u89d2\u51fd\u6570\u503c\u3002\u8be5\u516c\u5f0f\u53ef\u4ee5\u7528\u4e8e\u6c42\u89e3\u5404\u79cd\u4e09\u89d2\u51fd\u6570\u7684\u503c\uff0c\u5305\u62ec\u6b63\u5f26\u3001\u4f59\u5f26\u3001\u6b63\u5207\u4ee5\u53ca\u4f59\u5207\u7b49\u3002\u5177\u4f53\u4f7f\u7528\u65b9\u6cd5\u662f\uff1a\u5c06\u89d2\u5ea6x\u76842\u500d\u8868\u793a\u4e3a2x\uff0c\u7136\u540e\u6839\u636e\u4e09\u89d2\u51fd\u6570\u7684\u5b9a\u4e49\u5f0f\u8fdb\u884c\u8ba1\u7b97\uff0c\u628ax\u4ee3\u5165\u5bf9\u5e94\u7684\u51fd\u6570\u4e2d\uff0c\u518d\u75282\u500d\u89d2\u516c\u5f0f\u8fdb\u884c\u4ee3\u6362\u5373\u53ef\u5f97\u52302x\u7684\u51fd\u6570\u503c\u3002<\/p>\n
\u4e8c\u500d\u89d2\u7684\u5b9a\u4e49\uff1a<\/p>\n
\u4e8c\u500d\u89d2\u662f\u6307\u89d2\u7684\u4e24\u500d\u5927\u5c0f\u3002\u5728\u4e09\u89d2\u5b66\u4e2d\uff0c\u5f53\u4e00\u4e2a\u89d2\u7684\u5927\u5c0f\u662f\u53e6\u4e00\u4e2a\u89d2\u7684\u4e24\u500d\u65f6\uff0c\u6211\u4eec\u79f0\u8be5\u89d2\u4e3a\u4e8c\u500d\u89d2\u3002\u53ef\u4ee5\u901a\u8fc7\u4e0d\u540c\u7684\u65b9\u6cd5\u6765\u786e\u5b9a\u4e00\u4e2a\u89d2\u7684\u4e8c\u500d\u89d2\uff0c\u4f8b\u5982\u4f7f\u7528\u4e09\u89d2\u51fd\u6570\u3001\u4f59\u5f26\u5b9a\u7406\u6216\u6b63\u5f26\u5b9a\u7406\u7b49\u3002\u5728\u51e0\u4f55\u5b66\u548c\u7269\u7406\u5b66\u4e2d\uff0c\u4e8c\u500d\u89d2\u4e5f\u7ecf\u5e38\u51fa\u73b0\uff0c\u7528\u4e8e\u8ba1\u7b97\u89d2\u7684\u5927\u5c0f\u6216\u89e3\u51b3\u95ee\u9898\u3002\u638c\u63e12\u500d\u89d2\u7684\u6982\u5ff5\u5bf9\u4e8e\u89e3\u51b3\u4e09\u89d2\u5b66\u548c\u51e0\u4f55\u5b66\u7684\u95ee\u9898\u81f3\u5173\u91cd\u8981\u3002<\/p>\n
\u4e8c\u500d\u89d2\u7684\u5904\u7406\u65b9\u6cd5\uff1a<\/p>\n
1\u3001\u89d2\u5e73\u5206\u7ebf\u6cd5\uff1a\u5bf9\u4e8e\u4e00\u4e2a2\u500d\u89d2\uff0c\u53ef\u4ee5\u901a\u8fc7\u4f5c\u5176\u89d2\u5e73\u5206\u7ebf\u5c06\u5176\u5206\u6210\u4e24\u4e2a\u76f8\u7b49\u7684\u89d2\uff0c\u7136\u540e\u518d\u5229\u7528\u89d2\u5e73\u5206\u7ebf\u7684\u6027\u8d28\u8fdb\u884c\u8ba1\u7b97\u3002<\/p>\n
2\u3001\u8f85\u52a9\u7ebf\u6cd5\uff1a\u53ef\u4ee5\u57282\u500d\u89d2\u7684\u9876\u70b9\u5904\u4f5c\u4e00\u6761\u8f85\u52a9\u7ebf\uff0c\u5c06\u5176\u5206\u6210\u4e24\u4e2a\u76f8\u7b49\u7684\u89d2\uff0c\u7136\u540e\u518d\u5229\u7528\u89d2\u7684\u548c\u3001\u5dee\u7b49\u57fa\u672c\u6027\u8d28\u8fdb\u884c\u8ba1\u7b97\u3002<\/p>\n
3\u3001\u4e09\u89d2\u51fd\u6570\u6cd5\uff1a\u5bf9\u4e8e\u4e00\u4e9b\u7279\u5b9a\u76842\u500d\u89d2\u95ee\u9898\uff0c\u53ef\u4ee5\u5229\u7528\u4e09\u89d2\u51fd\u6570\u7684\u5b9a\u4e49\u548c\u6027\u8d28\u8fdb\u884c\u8ba1\u7b97\uff0c\u6bd4\u5982\u6c42\u89e3\u6b63\u5f26\u3001\u4f59\u5f26\u7b49\u51fd\u6570\u503c\u3002<\/p>\n
4\u3001\u76f8\u4f3c\u4e09\u89d2\u5f62\u6cd5\uff1a\u5bf9\u4e8e\u4e00\u4e9b\u6d89\u53ca\u52302\u500d\u89d2\u7684\u76f8\u4f3c\u4e09\u89d2\u5f62\u95ee\u9898\uff0c\u53ef\u4ee5\u5229\u7528\u76f8\u4f3c\u4e09\u89d2\u5f62\u7684\u6027\u8d28\u8fdb\u884c\u8ba1\u7b97\u3002<\/p>\n
\u9700\u8981\u6ce8\u610f\u7684\u662f\uff0c\u5bf9\u4e8e\u4e0d\u540c\u76842\u500d\u89d2\u95ee\u9898\uff0c\u5e94\u8be5\u9009\u62e9\u4e0d\u540c\u7684\u5904\u7406\u65b9\u6cd5\uff0c\u5e76\u4e14\u5728\u8ba1\u7b97\u8fc7\u7a0b\u4e2d\u8981\u6ce8\u610f\u7b26\u53f7\u7684\u5904\u7406\uff0c\u907f\u514d\u51fa\u73b0\u8ba1\u7b97\u9519\u8bef\u3002\u540c\u65f6\uff0c\u4e5f\u9700\u8981\u591a\u505a\u7ec3\u4e60\uff0c\u719f\u7ec3\u638c\u63e1\u5404\u79cd\u5904\u7406\u65b9\u6cd5\uff0c\u63d0\u9ad8\u89e3\u9898\u80fd\u529b\u3002<\/p>\n
\u4e8c\u500d\u89d2\u516c\u5f0f\u89e3\u9898\u6280\u5de7\uff1a<\/p>\n
1\u3001\u6574\u4f53\u6784\u9020\u6cd5\uff1a\u5c06\u5df2\u77e5\u5f0f\u89c6\u4e3a\u4e00\u4e2a\u6574\u4f53\uff0c\u7136\u540e\u6784\u9020\u4e00\u4e2a\u4e0e\u4e4b\u5bf9\u79f0\u7684\u5bf9\u5076\u5f0f\uff0c\u901a\u8fc7\u8054\u7acb\u8fd9\u4e24\u4e2a\u5f0f\u5b50\uff0c\u6c42\u5f97\u539f\u95ee\u9898\u7684\u89e3\u3002\u4f8b\u5982\uff0c\u5982\u679c\u5df2\u77e5sincos\uff0c\u53ef\u4ee5\u901a\u8fc7\u6784\u9020\u53e6\u4e00\u4e2a\u5f0f\u5b50\uff0c\u7136\u540e\u8054\u7acb\u65b9\u7a0b\uff0c\u5f97\u5230sin2cos2\u7684\u503c\u3002<\/p>\n
2\u3001\u516c\u5f0f\u5f62\u5f0f\u4e0a\u7684\u53d8\u7528\uff1a\u4e8c\u500d\u89d2\u516c\u5f0f\u7684\u53d8\u7528\u5305\u62ec\u516c\u5f0f\u5f62\u5f0f\u4e0a\u7684\u53d8\u7528\uff0c\u5982\u5c06sin2\u03b1\u53d8\u4e3a2cos\u03b1sin\u03b1\uff0c\u5c06cos2\u03b1\u53d8\u4e3a2cos^2\u03b1-1\u7b49\u3002<\/p>\n
3\u3001\u516c\u5f0f\u4e0e\u8bf1\u5bfc\u516c\u5f0f\u7b49\u7ed3\u5408\u7684\u7efc\u5408\u53d8\u7528\uff1a\u4e8c\u500d\u89d2\u516c\u5f0f\u8fd8\u53ef\u4ee5\u4e0e\u8bf1\u5bfc\u516c\u5f0f\u7b49\u7ed3\u5408\uff0c\u5f97\u5230\u4e07\u80fd\u516c\u5f0f\u548c\u534a\u89d2\u516c\u5f0f\u7b49\u3002<\/p>\n
4\u3001\u76f4\u63a5\u8fd0\u7528\u4e8c\u500d\u89d2\u516c\u5f0f\uff1a\u4f8b\u5982\uff0c\u5982\u679c\u5df2\u77e5\uff0c\u53ef\u4ee5\u901a\u8fc7\u4e24\u8fb9\u5e73\u65b9\uff0c\u6c42\u5f97sin2cos2\u7684\u503c\uff0c\u7136\u540e\u5f00\u65b9\uff0c\u4ece\u800c\u5f97\u5230sincos\u7684\u503c\u3002<\/p>\n
5\u3001\u9006\u7528\u4e8c\u500d\u89d2\u516c\u5f0f\uff1a\u4f8b\u5982\uff0c\u53ef\u4ee5\u901a\u8fc7\u901a\u5206\u540e\u9006\u7528\u6b63\u5f26\u4e0e\u4f59\u5f26\u7684\u4e8c\u500d\u89d2\u516c\u5f0f\uff0c\u4ece\u800c\u8f6c\u5316\u4e3a\u7279\u6b8a\u89d2\u51fd\u6570\u7684\u6c42\u503c\u95ee\u9898\u3002<\/p>\n
\u4e8c\u500d\u89d2\u516c\u5f0f\u76f8\u5173\u7684\u4e60\u9898\uff1a<\/p>\n
1\u3001\u6c42\u51fd\u6570f\uff08x\uff09=2cos^2x+2sinxcosx+1\u5728[0,\u03c0\/2]\u4e0a\u7684\u6700\u503c\u3002<\/p>\n
2\u3001\u5df2\u77e5\u51fd\u6570f\uff08x\uff09=2cosxsin\uff08\u03c0\/2-x\uff09\u3002\u6c42f\uff08x\uff09\u7684\u5355\u8c03\u533a\u95f4\u3002<\/p>\n
3\u3001\u5df2\u77e5\u51fd\u6570f\uff08x\uff09=cos\uff082x-\u03c0\/3\uff09+2sin\uff08x-\u03c0\/4\uff09sin\uff08x+4\uff09\u3002<\/p>\n
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