273 lines
2.7 KiB
Plaintext
273 lines
2.7 KiB
Plaintext
ans
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012508
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$(-2,0]$
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012509
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$4$
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012510
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$36\pi$
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012511
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$35$
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012512
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$2$
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012513
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$3$
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012514
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$y=3x-1$
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012515
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$\dfrac 25$
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012516
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$-1$
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012517
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$\cos(4x+\dfrac \pi 3)$
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012518
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$\dfrac{49}{24}\sqrt{6}$
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012519
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\textcircled{1}\textcircled{4}
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012520
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A
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012521
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D
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012522
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B
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012523
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C
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012524
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(1) $\dfrac \pi 3$; (2) 证明略
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012525
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(1) $a_n=2n$; (2) $6$
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012526
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(1) 证明略; (2) $\dfrac{2\sqrt{42}}7$; (3) 存在, $|A_1E|=1$
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012527
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(1) $X\sim \begin{pmatrix} 155 & 165 & 175 & 185 & 195 & 205\\ 0.22 & 0.27 & 0.25 & 0.15 & 0.1 & 0.01\end{pmatrix}$, $E[X]=171.7$; (2) $0.0312$; (3) $27.25$
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012528
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(1) 在$(-\infty,2-\dfrac{\sqrt{3a}}3]$上是严格增函数, 在$[2-\dfrac{\sqrt{3a}}3,2+\dfrac{\sqrt{3a}}3]$上是严格减函数, 在$[2+\dfrac{\sqrt{3a}}3,+\infty)$上是严格增函数; (2) 是定值$6$; (3) $\{4,12\}$
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12676
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$(-2,1)$
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12677
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$4$
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12678
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$(-\infty,2)$
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12679
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$80$
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12680
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$\dfrac\pi 2$
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12681
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$-7$
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12682
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$0.36$
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12683
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$12$
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12684
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$\dfrac{18}{35}$
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12685
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$8$
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12686
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$(-\pi,-\dfrac\pi 2)$和$(0,\dfrac\pi 2)$
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12687
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$9$
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12688
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B
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12689
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D
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12690
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B
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12691
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D
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12692
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(1) $a_n=5-n$; (2) $n=4$或$5$
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12693
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(1) 证明略; (2) $\dfrac 14$
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12694
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(1) $247.4$米; (2) $AB=AD=100\sqrt{5}$米, $\angle C=\dfrac\pi 2$
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12695
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(1) $F_1(-\sqrt{3},0)$, $F_2(\sqrt{3},0)$, $e_1=\dfrac{\sqrt{3}}2$; (2) $2$; (3) 证明略
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12696
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(1) $f_1(x)$不是$T(1)$函数, $f_2(x)$是$T(1)$函数; (2) 存在, $b$的取值范围为$(1-\dfrac 1{\mathrm{e}},+\infty)$; (3) 证明略
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12697
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$\{0,1\}$
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12698
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$-3$
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12699
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$-3$
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12700
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$14$
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12701
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$\sqrt{5}$
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12702
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$1$
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12703
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$462$
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12704
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$4.8$
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12705
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$\dfrac 6{35}$
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12706
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$2$
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12707
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$\dfrac{\sqrt{5}-1}2$
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12708
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$200$
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12709
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D
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12710
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B
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12711
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A
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12712
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B
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12713
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(1) 最小正周期为$\pi$, $f(x)=-\sin 2x$; (2) $\dfrac{4-3\sqrt{3}}{10}$
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12714
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(1) 证明略; (2) 图略, $\dfrac{3\sqrt{17}}{17}$
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12715
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(1) 大约$9.46\times 10^5\text{hm}^2$; (2) 到$2021$年底这个地区的沙漠面积首次小于$8\times 10^5\text{hm}^2$
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12716
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(1) $\dfrac{x^2}{4}+y^2=1$; (2) $M(\dfrac 65,\dfrac 45)$; (3) $(0,1)$
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12717
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(1) $y=x-1$; (2) 存在极小值点$x=\sqrt{m}$, 无极大值点; (3) $[\dfrac 12,+\infty)$
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012718
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$\pi$
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012719
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$\{1,2\}$
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012720
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$2\sqrt{2}$
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012721
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$4$
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012722
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$15\pi$
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012723
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$x-y=0$
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012724
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$m>2$或$m<-2$
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012725
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$2\sqrt{2}$
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012726
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$420$
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012727
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$[1,4]$
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012728
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$[-\dfrac{11}7,-1]$
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012729
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$5454$
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012730
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C
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012731
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D
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012732
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C
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012733
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B
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012734
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(1) 证明略; (2) $\arcsin \dfrac 13$
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012735
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(1) $936$万元; (2) $46.8$万元
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012736
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(1) $\dfrac 14$; (2) $\dfrac{6\sqrt{10}}5$
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012737
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(1) $\dfrac 12$; (2) $(0,4)$, $(-\dfrac 53, \dfrac{8\sqrt{2}}3)$或$(\dfrac 53, \dfrac{8\sqrt{2}}3)$; (3) 存在, $x_0=4$
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012738
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(1) 是``弱增函数'', 理由略; (2) $1$; (3) $-1$和$-2$ |