数学参考答案第1页（共16页）2026年高三年级综合测试数学参考答案一、单项选择题题号12345678答案ACBBDCAD二、多项选择题题号91011答案ABDADACD三、填空题12．113．1fx（答案不唯一）如0fx，fxx，3fxx等14．215，6415（前2分，后3分）四、解答题15.解：（1）设所求的线性回归方程为ˆˆˆybxa，1234535x，·······················································································1分0.50.711.31.515y，···············································································2分51((2)(0.5)(1)(0.3)10.320)(.5.)26iiixyxy，······························3分251(4)11410iixx··················································································4分12155()()ˆ0.26()iiiiixxyybxx···················································································5分所以10263022.b.ˆˆayx···········································································6分所以ˆ0.260.22yx····························································································7分（2）当6x时，0.2660.221.78y，则21.78,0.02YN··································8分由正态分布性质，可知1.751.76PYPYPY.···································9分因为()0.6827PY，···············································································10分所以()0.68270.50.50.8413522PYPY.···································11分{#{QQABAYSlwgAwgISACY4qQwleCUqYkIEjJIgshVCQOAxLCJNABIA=}#}数学参考答案第2页（共16页）因为250.8413530，···························································································12分所以该月日参与人数超过1.75万人的天数不少于25天.············································13分16.解：（1）方法一：因为1,2,3ABACBC,所以222ABBCAC,即ABBC,··1分因为PAABCD平面,BCABCD平面,所以PABC,·············································2分又因为,,ABPAAABPABPAPAB平面平面,所以BCPAB平面,······················3分因为PBPAB平面,所以BCPB,·······································································4分所以PBA为平面PBC与平面ABC所成的角,··························································5分因为PAAB,所以45PBA,即平...