319 lines
3.5 KiB
Plaintext
319 lines
3.5 KiB
Plaintext
ans
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040422
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$(-1,3)$
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040423
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$(-\infty,-1)$
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040424
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$\sqrt{5}$
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040425
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$5$
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040426
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$\dfrac{24}{7}$
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040427
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$0.12$
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040428
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$52$
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040429
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$2$
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040430
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$60^{\circ}$
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040431
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$\dfrac{4}{5}$
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040432
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$\dfrac{\sqrt{10}}{10}$
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040433
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$(-\infty,-\frac{2}{\mathrm{e}}) \cup(\frac{2}{\mathrm{e}},+\infty)$
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040434
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D
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040435
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C
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040436
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B
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040437
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D
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040438
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(1) 略; (2) $\dfrac{\sqrt{15}}{15}$
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040439
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(1) $a_1+a_2=6$, 公差为$4$; (2) $S_n=\begin{cases}n^2+n, & n=2 k, \\ n^2+n+2, & n=2 k-1\end{cases}$, $k$为正整数
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040440
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(1) $y=0.1 x-0.2$; (2) (i) $5900$万元; (ii) $[\dfrac{1}{3}, \dfrac{5}{8}]$
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040441
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(1) $\dfrac{x^2}{8}+\dfrac{y^2}{4}=1$; (2) $y= \pm \dfrac{\sqrt{30}}{10} x+1$; (3) $-\dfrac{1}{2}$
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040442
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(1) $y=(1+a) x$; (2) $-1$; (3) $(-\infty,-1)$
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040443
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$\{1,2,3\}$
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040444
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$\sqrt{10}$
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040445
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$2 \pi$
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040446
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$-\dfrac{1}{3}$
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040447
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$24$
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040448
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$-5$
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040449
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$(\dfrac{7}{2}, 0, \dfrac{7}{2})$
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040450
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$(-\dfrac{1}{3}, 1)$
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040451
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$17$或$18$
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040452
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支持
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040453
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$\sqrt{6}-\sqrt{3}$
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040454
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$\{(4,-4),(4,1)\}$
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040455
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C
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040456
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A
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040457
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B
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040458
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B
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040459
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(1) $[-\dfrac{\pi}{2}+k \pi, k \pi]$, $k \in \mathbf{Z}$; (2) $\dfrac{15 \sqrt{3}}{4}$
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040460
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(1) 略; (2) $\dfrac{1}{2}$
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040461
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(1) $\dfrac{3}{256}$; (2) 选择A同学
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040462
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(1) $\sqrt{3}$; (2) 略; (3) 存在, $k=\dfrac{\sqrt{3}}{2}$, $P(-3 \sqrt{3}, 0)$
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040463
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(1) $y=2 x$; (2) $(-\infty, 0] \cup[1,+\infty)$; (3) $(-\infty,\dfrac{2}{\mathrm{e}})$
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040464
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$(-2,1]$
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040465
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$1$
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040466
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$\dfrac{2 \pi}{3}$
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040467
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$\sqrt{3}$
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040468
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$(-\infty,-2] \cup[0,2]$
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040469
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$y^2=4 x$
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040470
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$\dfrac{14}{15}$
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040471
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$5$
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040472
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$\dfrac{6+2 \sqrt{3}}{5}$
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040473
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$1-2^{2023}$
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040474
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$\dfrac{2 \sqrt{3}}{3}$
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040475
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$6+4 \sqrt{2}$
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040476
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B
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040477
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D
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040478
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C
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040479
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B
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040480
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(1) 略; (2) $\arccos \dfrac{2}{3}$
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040481
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(1) $[k \pi-\dfrac{3 \pi}{8}, k \pi+\dfrac{\pi}{8}]$, $k \in \mathbf{Z}$; (2) $\{x | x=\dfrac{k \pi}{2}+\dfrac{\pi}{8},\ k \in \mathbf{Z}\}$
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040482
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(1) $1.4$米; (2) $\arcsin \dfrac{5 \sqrt{3}}{14}$
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040483
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(1) $\dfrac{6 \sqrt{5}}{5}$; (2) 略; (3) $\dfrac{3 \sqrt{3}}{4}$
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040484
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(1) 略; (2) $a_n=\dfrac{(n+3)(n+4)}{2}$, $b_n=\dfrac{(n+4)^2}{2}$; (3) $(-\infty,1]$
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040485
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$4$
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040486
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四
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040487
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$2$
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040488
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$\dfrac 23$
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040489
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$12$
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040490
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$40$
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040491
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$2$
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040492
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$72$
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040493
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$3$
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040494
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$\dfrac{4\pi}3$
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040495
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$\sqrt{3}$
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040496
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$-2+\sqrt{7}$
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040497
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B
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040498
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C
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040499
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D
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040500
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D
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040501
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(1) 证明略; (2) $\dfrac{\sqrt{14}}7$
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040502
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(1) $y=0.072x-0.046$; (2) (i) $1060$万; (ii) $(\dfrac 13,\dfrac 58]$
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040503
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(1) $[k\pi,\dfrac\pi 4+k\pi]$, $k\in \mathbf{Z}$; (2) $\dfrac\pi 4$
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040504
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(1) $\dfrac{x^2}{4}-y^2=1$; (2) 存在, $t=\pm \sqrt{3}$或$t=\pm \sqrt{\dfrac{76}{15}}$; (3) $(-8-5\sqrt{3},-\dfrac 12)\cup (\dfrac 12,-8+5\sqrt{3})$
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040505
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(1) $f(g(x))$的导函数为$y=-a\sin x$, $g(f(x))$的导函数为$y=-a\sin (ax)$; (2) $(-\infty,-1]$; (3) $[\dfrac 32,3)$
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040506
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$4$
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040507
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$1$
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040508
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$24$
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040509
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$x^2+(y-1)^2=4$
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040510
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$(-1,1]$
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040511
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$300(4+\sqrt{3})$
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040512
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$\dfrac{1}{2}$
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040513
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$92$
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040514
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$\dfrac{1}{2}$
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040515
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$\dfrac{\sqrt{21}}{6}$
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040516
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$2 \sqrt{2}$
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040517
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$2$
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040518
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C
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040519
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A
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040520
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A
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040521
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C
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040522
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(1) $2n$; (2) $n^2+n+\dfrac{4^{n+1}}{3}-\dfrac{4}{3}$
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040523
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(1) $\begin{pmatrix}0 & 1 & 2 \\ \dfrac{7}{15} & \dfrac{7}{15} & \dfrac{1}{15}\end{pmatrix}$, 期望为$\dfrac{3}{5}$; (2) $\chi^2 \approx 0.794<3.841$, 不能认为有关
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040524
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(1) 略; (2) $\dfrac{\sqrt{10}}{5}$
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040525
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(1) $\dfrac{x^2}{4}+y^2=1$; (2) 最大值为$3$; 最小值为$\dfrac{\sqrt{6}}{3}$; (3) $(0,3)$
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040526
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(1) $y=x+1$; (2) 略; (3) $2$
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