192 lines
2.3 KiB
Plaintext
192 lines
2.3 KiB
Plaintext
ans
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012613
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$\{2,4\}$
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012614
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$(1,2)$
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012615
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$\dfrac{\sqrt{2}}2$
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012616
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$3$
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012617
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$3$
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012618
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\textcircled{1}\textcircled{4}
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012619
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$180$
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012620
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$4$
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012621
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$\dfrac 52$
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012622
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$\dfrac\pi 4$
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012623
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$\dfrac{8\sqrt{2}\pi}3$
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012624
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$\dfrac{8\sqrt{3}}3$
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012625
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A
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012626
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C
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012627
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D
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012628
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C
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012629
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(1) $b_n=3^{n-1}$; (2) $-8$
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012630
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(1) $\dfrac \pi 4$; (2) $1$
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012631
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(1) 证明略; (2) 证明略; (3) $\dfrac\pi 4$
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012632
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(1) $\sqrt{2}$; (2) $y=x+1$; (3) 过定点$(-3,0)$和$(1,0)$
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012633
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(1) $y=x-1$; (2) 单调减区间为$(\dfrac 12 1)$; 极小值为$-2$; (3) 证明略
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012571
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$\{1\}$
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012572
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$-1$
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012573
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$\dfrac\pi 6$
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012574
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$2$
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012575
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$16\pi$
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012576
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$2800$, $31$
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012577
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$2$
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012578
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$(-\infty,1)\cup (1,3]$
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012579
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$5$
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012580
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$[\dfrac 32,2]$
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012581
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$(\dfrac 72,0,\dfrac 72)$
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012582
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$\dfrac{\sqrt{3}}{20}v$
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012583
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A
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012584
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D
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012585
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C
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012586
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C
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012587
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(1) 证明略; (2) $\dfrac{3\sqrt{22}}{11}$
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012588
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(1) $\dfrac 12$; (2) $a_n=\dfrac{18}{2n+1}$
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012589
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(1) 例如: 非通勤时段的车辆使用情况; 油价和电价的变化; 工作单位能否提供免费充电; 电动车的国家减免政策的变化; 车辆的外观、内饰与品牌效应; 车牌费用等; (2) 解答略
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012590
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(1) $\dfrac{x^2}4+\dfrac{y^2}3=1$($y\le 0$); (2) $P(-\dfrac 32,\dfrac{\sqrt{3}}2)$, $Q(\dfrac 32, \dfrac{\sqrt{3}}2)$; (3) $[\sqrt{3}-1,\sqrt{2}+1]$
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012591
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(1) 导数为$y'=\dfrac{1-\ln x}{x^2}$, 单调性证明略; (2) 判断$89^{99}>99^{89}$, 证明略, 推广可以是:``对于实数$a,b$, 若$\mathrm{e}<a<b$, 则$a^b>b^a$; (3) 证明略
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010965
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$[0,2]$
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010966
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$(-\infty,0)$
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030023
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$\dfrac{3n^2-5n}2$
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010968
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$\dfrac{8\pi}3$
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010969
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$2(x+2)-(y-1)=0$
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010970
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$\dfrac 32$
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030025
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$[0,\dfrac 34]$
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010972
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$25$
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030024
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$\dfrac 23(\dfrac 1{4^n}-1)$
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010974
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$[1,+\infty)$
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010975
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$\sqrt{3}$
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010976
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$3-\sqrt{3}$
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010977
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B
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002745
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C
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010979
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C
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010980
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B
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010981
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(1) $\dfrac 23$; (2) $\arctan {2\sqrt{5}}5$
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010982
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(1) $\log_2 3$; (2) $a=2b\ne 0$
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010983
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(1) $\sqrt{7}$千米; (2) 有$\dfrac{8-\sqrt{15}}7$小时, 两人不能通话
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010984
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(1) $y^2=4\sqrt{5} x$或$y^2=-4\sqrt{5} x$; (2) $M$的坐标为$(0,0)$或$(-\dfrac{4\sqrt{5}}5,0)$; (3) 证明略
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010985
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(1) $\{-6,-3,-2,-1,0,1,2,3,4\}$; (2) 证明略; (3) 元素个数为$\dfrac 12 n(n+1)$; 元素之和为$\dfrac{n+1}2(3^{n+1}-3)$ |