高考数学必考必背公式全集..docxVIP

一、 对数运算公式。 1.?log?a?1???0 2.?log?a?a???1 3.?log?a?M???log?a?N???log?a?MN 4. log?a?M???log?a?N???log?a  M N n5.?log?M?n???n?log?M 6.?log n a a  a  n 1 M????log?M a 7.?alogaM???M log??blog??a??log??b9.???????????????????????????? 10.am log??b log??a?? log??b 9.???????????????????????????? 10. am m b a 十三、?三角函数运算公式。  b 1 a n log?bn????log?b a 1.?同角关系: sin?? cos??  ??tan?? sin?2?????cos?2?????1 2.?诱导公式：奇变偶不变，符号看象限。 ssin(2k????x)???sin?x sin(??x)?????sin?x s?i?n2(????x)?????s?i?nx s cos(2k????x)???cos?x cos(??x)???cos?x c?o?s2(????x)???c?o?x tan(2k????x)???tan?x tan(??x)?????tan?x t?a?n2(????x)?????t?a?nx (s(s?i?n????x)?????s?i?nx sin(????x)???sin?x ( s ( c?o?s?(???x)?????c?o?x cos(????x)?????cos?x t?a?n????x)???t?a?nx tan(????x)?????tan?x 3.?两角和差公式:?sin(??????)???sin???cos?????sin???cos?? cos(??????)???cos???cos?? sin???sin?? tan(??????)?? tan?????tan?? 1?tan???tan?? 二倍角公式:?sin?2????2sin???cos? cos?2????cos2?????sin?2?????2cos?2?????1???1???2sin?2?? tan?2??? 2?tan?? 1???tan?2?? b ? 4.?辅助角公式：?a?sin?????b?cos??? a?2???b?2?sin(?????)?，其中，?a???0,?tan???? ,|???|? a 2 5.?降幂公式（二倍角余弦变形）:  cos2???? 1???cos?2? 2??????????????sin?2???? 1???cos?2? 2 sin??????,cos?????,?tan????6.角函数定义：角???中边上任意一点?P?为?(?x,? sin??????,cos?????,?tan???? y?????x r?????r y x 十四、?三角函数图像与性质。 y???sin?x  y???cos?x  y???tan?x 定义域 R R ?x ?x?|?x???R且x???k??? ??,?k???Z??  [?1,?1]??????????????????[?1,?1] 1????????????????????????????? 1 2??R?? 2 周期 奇偶性 2????????????????????2???????????????????????????? 奇函数????????????????????偶函数???????????????????????????????奇函数 [??? [???? 2????2k??]?? [?2k???1???,2k??] ?????? ??k??,?? ??k??? 2???2k??, 上为增函数； 上为增函数  ?2?????????????? ? 2 ???2?????????? 2???? 2????2k??, 2??????????? [2k??,??2k???1???] 3?  ??2k??] 上为增函数（?k???Z?） 单调性 上为减函数 （?k???Z?） 上为减函数 （?k???Z?） ?????? ?????? ?????? ?????? ??2R(?R是?ABC的外接圆半径) 2.?余弦定理???a?2???b2???c2???2bc?cos?A?????????????? 2bc 1.?正弦定理 a b c sin?A sin?B sin?C b2???c2???a?2 cos?A?? b2???a?2???c2???2ac?cos?B c2???a?