大丰市第二中学高二年级数学周练第1次周练2008年9月7日命题:陈建圣一、填空题(14×5=70)1.已知△ABC中,,则;2.在△ABC中,若,则;3.若钝角三角形三个内角满足关系:,且最大边长与最小边长的比值为,则;4.在△ABC中,,则;5.在△ABC中,若,则;6.在△ABC中,若,则此三角形有解7.在△ABC中,,则的余弦值为;8.边长分别为的三角形的最大角与最小角的和是;9.在△ABC中,若,那么△ABC的外接圆直径为;10.在等差数列中,若,则11.在等差数列中,若,则12.已知等差数列共有20项,所有奇数项的和为132,所有偶数项的和为112,则公差;13.在等差数列中,前项的和为,已知,则14.已知和都是等差数列,则前项的和为,且,则。二、解答题(14+14+14+16+16+16)15.①已知在△ABC中,,求和;②在△ABC中,已知,求和的值。16.已知数列是等差数列,且,求通项公式;17.已知,求的值;18.设数列的通项公式为,求19.设为等差数列,为其前项的和,已知,为数列的前项和,求;20.已知,在递增的等差数列中,①求的值;②求通项;③求的值。大丰市第二中学高二年级数学周练答题纸一、填空题1.____________________________2.____________________________3.____________________________4.____________________________5.____________________________6.____________________________7.____________________________8.____________________________9.____________________________10.____________________________11.___________________________12.____________________________13.___________________________14.____________________________二、解答题15.(14分)_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________班级:__________姓名:__________学号:_____________________________________________________________________________________________16.(14分)__________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________17.(14分)_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________18.(16分)_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________19.(16分)__________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________20.(16分)_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________参考答案:⒈⒉⒊⒋12⒌⒍一⒎⒏⒐⒑0⒒117⒓-2⒔-110⒕⒖①②⒗⒘⒙153⒚⒛①②③