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问题: 一暑假作业数学问题,请高手帮忙7

解答:

1.代入(1,0)排除AB,X=0时大于0,选D
2.令cosx-sinx=t,原式等于1-t^2+t=-(t-1/2)^2+5/4.因为负根号2《t《根号2,所以t=-根号2时有最小值-1-根号2,选B
3.2sina/2cosa/2=sina>0.sina/2与cosa/2同号,kp+0<a/2<kp+90 cosa=2cos^2a/2-1<=0. 0=<cos^2a/2<=1/2. 则kp+45<=a/2<=kp+90.