64 lines
960 B
Plaintext
64 lines
960 B
Plaintext
ans
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15017
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$[2,3)$
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15018
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$(0,1)$
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15019
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$y=x^3$
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15020
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$-1$
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15021
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$3\cdot 2^{n-1}-1$
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15022
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$160$
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15023
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$\dfrac 23$
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15024
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$n(n-1)$
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15025
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$\dfrac\pi 3$
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15026
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$0.004$
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15027
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$(1,2)$
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15028
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$4$
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15029
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B
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15030
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A
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15031
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B
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15032
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C
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15033
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(1) 最小正周期为$\pi$, 函数在$[k\pi-\dfrac{\pi}{12},k\pi+\dfrac{5\pi}{12}]$($k\in \mathbf{Z}$)上为增函数, 在$[k\pi-\dfrac{5\pi}{12},k\pi+\dfrac{11\pi}{12}]$($k\in \mathbf{Z}$)上为减函数; (2) $[\dfrac{\sqrt{3}}2,1)$
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15034
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(1) $\arccos \dfrac{\sqrt{2}}4$; (2) 证明略, 距离为$\dfrac{\sqrt{15}}5$
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15035
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(1) $\hat{y}=11.2x-42.4$; (2) 当产量为$20$件时, 月利润的期望最大, 最大期望为$1218.4$万元.
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15036
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(1) 焦点为$(1,0)$, 准线为$x=-1$; (2) $20$; (3) 存在定点, 坐标为$(5,-2)$
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15037
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(1) $A$点在$y=1$上, $B$点不在$\Psi$的任何一条直线上; (2) $(x_0^3,+\infty)$; (3) $\Omega$的包络是曲线$y=x^3$($x>0$), $\Psi$的包络是抛物线$y=\dfrac{x^2}{4}+1$ |