问题
选择题
对于使f(x)≤M恒成立的所有常数M中,我们把M的最小值叫做f(x)的上确界.若a>0,b>0且a+b=1,则-
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答案
∵
+1 2a
=2 b
+a+b 2a
=2(a+b) b
+5 2
+b 2a
,(当且仅当 a=b=2a b
时取到等号)1 2
∴-
-1 2a
≤-2 b
(当且仅当 a=b=9 2
时取到上确界)1 2
故选B.
对于使f(x)≤M恒成立的所有常数M中,我们把M的最小值叫做f(x)的上确界.若a>0,b>0且a+b=1,则-
|
∵
+1 2a
=2 b
+a+b 2a
=2(a+b) b
+5 2
+b 2a
,(当且仅当 a=b=2a b
时取到等号)1 2
∴-
-1 2a
≤-2 b
(当且仅当 a=b=9 2
时取到上确界)1 2
故选B.
根据对话内容及方框中所给的句子补全对话, 选项中有两项是多余选项。 | |
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A: Where did you go? B: I went to the library to borrow the book Gone with the Wind. 1. _____ A: No, I haven't. B: That's a pity. 2. _____ A: Well, I've been thinking about borrowing a book from the library for a while. 3. _____ B: Well, look! Here it is. If you like, I can lend it to you after I finish reading. A: 4. _____ Do you know when that will be? B: 5. _____ I'll lend it to you as soon as I finish it. A: By the way, how long can you keep it? B: Two weeks. A: That sounds good. |