题目

已知命题p:方程x2﹣(2+a)x+2a=0在[﹣1,1]上有且仅有一解;命题q:存在实数x使不等式x2+2ax+2a≤0成立,若命题“¬p且q”是真命题,求a的取值范围. 答案:解:①若命题p为真,由x2﹣(2+a)x+2a=0得(x﹣2)(x﹣a)=0,解得x=2或x=a, 又∵方程x2﹣(2+a)x+2a=0,在[﹣1,1]上有且仅有一解,∴﹣≤a≤1.②若命题q为真,即存在实数x满足不等式x2+2ax+2a≤0∴△=4a2﹣8a≥0解得a≤0或a≥2,因为命题“¬p且q”是真命题,所以,命题p是假命题、命题q是真命题,当命题In Western countries, when you talk to your teacher in class, you may remain ______. A.seated          B.to be seated         C.being seated         D.seating  
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