ans

13287
$2$

13288
$a>2$

13289
$89$

13290
$[-1,2]$

13291
$12$

13292
$\dfrac{3\sqrt{2}}{4}$

13293
$16$

13294
$\arctan \dfrac{\sqrt{6}}6$

13295
$\dfrac 56$

13296
$\dfrac{\sqrt{5}}{3}$

13297
A

13298
B

13299
C

13300
(1) $a=4$; (2) 证明略

13301
(1) $[k\pi+\dfrac\pi 3,k\pi+\dfrac{5\pi}6]$, $k\in \mathbf{Z}$; (2) $A=\dfrac\pi 3$, $b=2$, $S=2\sqrt{3}$

13302
$(-\infty,0)\cup (1,+\infty)$

13303
$\dfrac 32$

13304
$12\pi$

13305
$-\dfrac 43$

13306
$\dfrac 3{16}$

13307
$y=2x-\mathrm{e}$

13308
$5$

13309
$4\pi$

13310
$-3\le a\le -1$

13311
$9828$

13312
C

13313
B

13314
C

13315
(1) 证明略; (2) $\dfrac{\sqrt{10}}5$

13316
(1) $a_n=n-1$; (2) 证明略

13317
$\sqrt{5}$

13318
$\overrightarrow{AD}=\dfrac 23 \overrightarrow{a}+\dfrac 13 \overrightarrow{b}$

13319
$\dfrac{16}{35}$

13320
$[0,8)$

13321
$\dfrac{25}{9}$

13322
$[\dfrac 34,1]$

13323
$3$

13324
$0$

13325
$\dfrac{\sqrt{3}}2$

13326
$\dfrac 34$

13327
C

13328
B

13329
B

13330
(1) 证明略; (2) $B_1D=\dfrac 12$

13331
(1) $\dfrac{x^2}{4}+\dfrac{y^2}{3}=1$, $y\ne 0$; (2) $[12,8\sqrt{3})$;

13332
$\sqrt{3}$

13333
$8$

13334
$-\dfrac 12$

13335
$0.14$

13336
$1$

13337
$-2$

13338
$99.9\%$

13339
$\dfrac 1{15}$

13340
$4$

13341
$2$

13342
A

13343
B

13344
B

13345
(1) $\dfrac\pi 3$; (2) $\arcsin \dfrac{\sqrt{3}}3$

13346
(1) $x=15$; (2) 比值为$\dfrac 12$

13347
$-\dfrac 1{25}$

13348
$-\dfrac{\sqrt{2}}2$

13349
$6$

13350
$(-1,-2)$

13351
$4$

13352
$0$

13353
$12$

13354
$1$

13355
$\dfrac{\sqrt{3}}3$

13356
$(0,\dfrac 14)$

13357
B

13358
A

13359
D

13360
(1) $P(0,0)$或$P(-\dfrac 85,\dfrac 45)$; (2) 过定点$(-\dfrac 45,\dfrac 25)$

13361
(1) $p=\dfrac 23$, $q=\dfrac 14$; (2) $\dfrac 16$

13362
$\{5,7,9\}$

13363
$a+b>2$

13364
$(0,+\infty)$

13365
$\dfrac 23$

13366
$25$

13367
$(-\infty,-8]\cup [2,+\infty)$

13368
$\dfrac 52$

13369
$\dfrac 23$

13370
\textcircled{2}\textcircled{3}

13371
$9$

13372
B

13373
D

13374
D

13375
(1) $x=1$; (2) $[\dfrac 12,+\infty)$

13376
(1) $\dfrac{x^2}{4}+\dfrac{y^2}{2}=1$; (2) $y=\pm \dfrac{\sqrt{2}}2+1$


13377
$1$

13378
$\dfrac{5\pi}6$

13379
$\pi$

13380
$\dfrac{\sqrt{5}-1}2$

13381
$1:2\sqrt{2}$

13382
$\dfrac{x^2}{18}-\dfrac{y^2}{9}=1$

13383
$0.88$

13384
$0.95$

13385
$7$

13386
$(-\infty,8)$

13387
D

13388
A

13389
C

13390
(1) $y=\begin{cases}\dfrac{24x-2x^2}{15-x}, & x\in \{1,2,\cdots,9\},\\ \dfrac 53 x-\dfrac{x^3}{180},& x\in \{10,11,\cdots,20\};\end{cases}$ (2) 日进货量为$10$吨时, 日利润最大, 最大日利润是$\dfrac{100}{9}$千元

13391
(1) $y=2\sin(2x+\dfrac\pi 3)-1$; (2) $[-1,1]$

13392
$\{-1,2\}$

13393
$8$

13394
$7$

13395
$0.3$

13396
$0.2$

13397
$1$

13398
$6$

13399
$\mathrm{e}-1$

13400
$\dfrac{7}{25}$

13401
\textcircled{1}\textcircled{2}\textcircled{3}\textcircled{5}

13402
C

13403
A

13404
D

13405
(1) $\dfrac{x^2}{4}+\dfrac{y^2}{2}=1$; (2) $[0,2]$

13406
(I) (1) 证明略; (2) $S_n=4-\dfrac{n+2}{2^{n-1}}$; (II) 证明略

13407
$(0,1)\cup (1,2]$

13408
$-\sqrt{13}$

13409
$\sqrt{2}$

13410
$0.0044$

13411
$20$

13412
$2$

13413
$2\sqrt{2}$

13414
$x=-1$

13415
$\dfrac\pi 2$

13416
$-1$

13417
D

13418
D

13419
C

13420
(1) 证明略; (2) $\dfrac{\sqrt{3}}3$

13421
(1) $BD=BA$; (2) 约$0.33\text{km}$

13422
$\dfrac 32$

13423
$(3,4)$

13424
$\sqrt{7}$

13425
$\dfrac{9}{4}$或$\dfrac{4}{9}$

13426
$\dfrac{24}{25}$

13427
$\dfrac 34$

13428
$100$

13429
$-\dfrac{11}{16}$

13430
$30$

13431
$[\dfrac 73,\dfrac{13}{3})$

13432
B

13433
B

13434
A

13435
(1) $\dfrac{2\sqrt{6}}3$; (2) $\dfrac{\sqrt{10}}2\text{千米}$

13436
(1) 证明略; (2) $\dfrac{4\sqrt{3}}7$


13437
$\{1,3,5\}$

13438
$1$

13439
$2m-1$

13440
$8$

13441
$45$

13442
$\sqrt{5}$

13443
$\pi-\arctan\dfrac 32$

13444
$\dfrac{11}{12}$

13445
$-3$

13446
$[-2,6]$

13447
C

13448
C

13449
D

13450
(1) $4\pi$; (2) $\arctan\dfrac{\sqrt{2}}2$

13451
(1) 第一个数列具有性质$P$, 第二个数列不具有性质$P$; (2) $(-\infty,-2]\cup [0,+\infty)$



13452
$\dfrac 34\pi$

13453
$\sqrt{7}$

13454
$4$

13455
$\dfrac{24}{25}$

13456
$y=\dfrac {1}{\mathrm{e}}x$

13457
$\dfrac{16}{35}$

13458
$[1,3]$

13459
$36$

13460
$30$

13461
$\dfrac{2\sqrt{3}}3$

13462
B

13463
B

13464
C

13465
(1) 证明略; (2) $\dfrac{\sqrt{5}}5$

13466
(1) $[\dfrac 14,1)$; (2) 当$\theta=\dfrac{\pi}{6}$时

13467
$-2$

13468
$2\sqrt{2}$

13469
$16$

13470
$\dfrac 14$

13471
$5$

13472
$\dfrac{3\pi}{4}$

13473
$\sqrt{10}$

13474
$\dfrac{21}{16}$

13475
\textcircled{1}\textcircled{2}\textcircled{3}\textcircled{4}

13476
$7$

13477
B

13478
A

13479
C

13480
(1) $\dfrac 34$; (2) $\dfrac{13}{36}$

13481
(1) $-1$; (2) $(0,+\infty)$

13482
$1$

13483
$60$

13484
$\dfrac{80}{243}$

13485
$\dfrac 13$

13486
$\arccos\dfrac{\sqrt{15}}{10}$

13487
$2-\dfrac 1n$

13488
$21$

13489
$y=\begin{cases}x^2+\dfrac 1x, & x>0, \\ 0, & x=0, \\ -x^2+\dfrac 1x, & x<0\end{cases}$

13490
$a=2$或$a\ge 2\sqrt{2}$其中的一个即可

13491
$4$

13492
A

13493
C

13494
B

13495
(1) $y=x-1$; (2) $(-\infty,\dfrac 32)$

13496
(1) 证明略; (2) $6\sqrt{2}$

13497
$6$

13498
$2$

13499
$1-k$

13500
$4$

13501
$15$

13502
$(\dfrac 12,1)$

13503
$0.568$

13504
$1$

13505
$\lambda\ge -3$

13506
$\dfrac{56}3$

13507
A

13508
C

13509
D

13510
(1) $(3,5)$; (2) $[2,\dfrac 52]$

13511
(1) 约$16173$升; (2) 从第$13$个月起