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当a>0,a≠1时,函数f(x)=loga(x-1)+1的图象恒过定点A,若点A...
当a>0,a≠1时,函数f(x)=loga(x-1)+1的图象恒过定点A,若点A在直线mx-y+n=0上,则4m+2n的最小值是 .
考点分析:
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观察下列不等式:1>
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,1+
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>1,1+
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+
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+…+
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>
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,1+
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+
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+…+
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>2,1+
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+
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+…+
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>
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,…,由此猜测第n个不等式为
(n∈N
*).
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甲乙两人玩猜数字游戏,先由甲在心中任想一个数字,记为a,再由乙猜甲刚才所想的数字,把乙猜的数字记为b,且a,b∈{1,2,3,4},若|a-b|≤1,则称甲乙“心有灵犀”.现任意找两人玩这个游戏,得出他们“心有灵犀”的概率为
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x | 20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 |
y | 141 | 146 | 154 | 160 | 169 | 176 | 181 | 188 | 197 | 203 |
一般来说,一个人脚掌越长,他的身高就越高,现对10名成年人的脚掌长x与身高y进行测量,得到数据(单位均为cm)如上表,作出散点图后,发现散点在一条直线附近,经计算得到一些数据:
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,
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;某刑侦人员在某案发现场发现一对裸脚印,量得每个脚印长为26.5cm,则估计案发嫌疑人的身高为
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在△ABC中,已知
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=(-1,2),
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=(2,1),则△ABC的面积等于
.
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已知cos(α+
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)=
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,且
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,则sin2α=
.
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