已知函数f(x)=plnx+(p-1)x
2+1.
(1)讨论函数f(x)的单调性;
(2)当P=1时,f(x)≤kx恒成立,求实数k的取值范围;
(3)证明:1n(n+1)<1+
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102328040819433/SYS201311031023280408194017_ST/0.png)
…+
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102328040819433/SYS201311031023280408194017_ST/1.png)
(n∈N
+).
考点分析:
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的值.
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已知函数
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已知{a
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的定义域为A,函数g(x)=
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(-1≤x≤0)的值域为B.
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以下命题:
①若|
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•
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|=|
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|•|
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|,则
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∥
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;
②
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=(-1,1)在
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=(3,4)方向上的投影为
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;
③若△ABC中,a=5,b=8,c=7,则
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=20;
④若非零向量
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、
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满足|
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|=|
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|,则|2
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|>|
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|.
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=
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(
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)则向量λ(
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)(λ≠0)所在直线必过N点.其中所有真命题的序号是
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