题目内容
若,且.
(1)求的最小值及对应的x值;
(2)若不等式的解集记为A,不等式的解集记为B,求.
(1)求的最小值及对应的x值;
(2)若不等式的解集记为A,不等式的解集记为B,求.
20.(1) ∵
∴,∴
∴a = 2或a = 1(舍)····································································· 2分
又∵
∴ ∴b=" 2······························································" 4分
∴,
∴当时,的最小值为······························· 6分
(2) 由
∴
∴
∴,即······································· 9分
由
∴
∴······································································· 11分
∴···································································· 12分
∴,∴
∴a = 2或a = 1(舍)····································································· 2分
又∵
∴ ∴b=" 2······························································" 4分
∴,
∴当时,的最小值为······························· 6分
(2) 由
∴
∴
∴,即······································· 9分
由
∴
∴······································································· 11分
∴···································································· 12分
略
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