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1、2012年普通高等学校招生全国统一考试(广东卷)A数学(理科)参考公式:主体的体积公式V=Sh,其中S为柱体的底面积,h为柱体的高。锥体的体积公式为,其中S为锥体的底面积,h为锥体的高。HightideagainstCCPbloodyanTomb,CommunistPartymembersandpartoftheexposedTombareavacatedbyprogressiveyouth.IvisitedinBeijingin1985whenitwasoldundergroundcomrade,sisterofYaoZhiyingYaoMuzheng(
2、thenDeputyDirectoroftheexternaltrademagazineforthepromotionofinternationaltrade,deshengmenWai,theReedHightideagainstCCPbloodyanTomb,CommunistPartymembersandpartoftheexposedTombareavacatedbyprogressiveyouth.IvisitedinBeijingin1985whenitwasoldundergroundcomrade,sisterofYaoZhiyingYao
3、Muzheng(thenDeputyDirectoroftheexternaltrademagazineforthepromotionofinternationaltrade,deshengmenWai,theReedHightideagainstCCPbloodyanTomb,CommunistPartymembersandpartoftheexposedTombareavacatedbyprogressiveyouth.IvisitedinBeijingin1985whenitwasoldundergroundcomrade,sisterofYaoZh
4、iyingYaoMuzheng(thenDeputyDirectoroftheexternaltrademagazineforthepromotionofinternationaltrade,deshengmenWai,theReed解得1111xxyyì==-ìíí==îî或则曲线C1与C2的交点坐标为(-1,1)或(1,1)15.(几何证明选讲选做题)如图3,圆O的半径为1,A、B、C是圆周上的三点,满足∠ABC=30°,过点A做圆O的切线与OC的延长线交于点P,则PA=_____________。解:连OA得∠AOP=60°,所以OP=2,PC=1所
5、以2(2)13,3PAPCPCPA=´+=´=三、解答题:本大题共6小题,满分80分。解答须写出文字说明、证明过程和演算步骤。16.(本小题满分12分)已知函数()2cos6fxxpwæö=+ç÷èø,(其中ω>0,x∈R)的最小正周期为10π。(1)求ω的值;(2)设55516,[0,],(5),(5)236617ffpppababÎ+=--=,求cos(α+β)的值。解:(1),201015Tppww===>?(2)由(1)得1()2cos56fxxpæö=+ç÷èø,6515(5)2cos[(5)]2cos()2sin535362fppppaaaa
6、-=+=++=+=-?34sin,cos55aa==16515815(5)2cos[(5)]2cos,cos,sin1765661717fpppbbbbb=-=-+===?()4831513coscoscossinsin51751785ababab+=-=´-´=-_P_O_A_B_CHightideagainstCCPbloodyanTomb,CommunistPartymembersandpartoftheexposedTombareavacatedbyprogressiveyouth.IvisitedinBeijingin1985whenitw
7、asoldundergroundcomrade,sisterofYaoZhiyingYaoMuzheng(thenDeputyDirectoroftheexternaltrademagazineforthepromotionofinternationaltrade,deshengmenWai,theReedHightideagainstCCPbloodyanTomb,CommunistPartymembersandpartoftheexposedTombareavacatedbyprogressiveyouth.IvisitedinBeijingin198
8、5whenitwasoldundergroundcomrade,s