diff --git a/工具/文本文件/metadata.txt b/工具/文本文件/metadata.txt index 084edaae..cc317c1c 100644 --- a/工具/文本文件/metadata.txt +++ b/工具/文本文件/metadata.txt @@ -1,242 +1,682 @@ -usages +ans -021739 -20230425 2025届高一11班 0.976 +13287 +$2$ -021740 -20230425 2025届高一11班 1.000 +13288 +$a>2$ -021741 -20230425 2025届高一11班 0.976 0.976 1.000 0.976 +13289 +$89$ -021742 -20230425 2025届高一11班 0.857 +13290 +$[-1,2]$ -021743 -20230425 2025届高一11班 0.774 +13291 +$12$ -021744 -20230425 2025届高一11班 0.929 +13292 +$\dfrac{3\sqrt{2}}{4}$ -021745 -20230425 2025届高一11班 0.952 0.833 +13293 +$16$ -021746 -20230425 2025届高一11班 0.809 +13294 +$\arctan \dfrac{\sqrt{6}}6$ -021747 -20230425 2025届高一11班 1.000 +13295 +$\dfrac 56$ -021748 -20230425 2025届高一11班 0.929 +13296 +$\dfrac{\sqrt{5}}{3}$ -021739 -20230425 2025届高一12班 1.000 +13297 +A -021740 -20230425 2025届高一12班 1.000 +13298 +B -021741 -20230425 2025届高一12班 1.000 1.000 1.000 0.951 +13299 +C -021742 -20230425 2025届高一12班 0.951 +13300 +(1) $a=4$; (2) 证明略 -021743 -20230425 2025届高一12班 0.878 +13301 +(1) $[k\pi+\dfrac\pi 3,k\pi+\dfrac{5\pi}6]$, $k\in \mathbf{Z}$; (2) $A=\dfrac\pi 3$, $b=2$, $S=2\sqrt{3}$ -021744 -20230425 2025届高一12班 0.915 +13302 +$(-\infty,0)\cup (1,+\infty)$ -021745 -20230425 2025届高一12班 0.951 0.890 +13303 +$\dfrac 32$ -021746 -20230425 2025届高一12班 0.890 +13304 +$12\pi$ -021747 -20230425 2025届高一12班 0.927 +13305 +$-\dfrac 43$ -021748 -20230425 2025届高一12班 0.854 +13306 +$\dfrac 3{16}$ -021739 -20230425 2025届高一01班 1.000 +13307 +$y=2x-\mathrm{e}$ -021740 -20230425 2025届高一01班 1.000 +13308 +$5$ -021741 -20230425 2025届高一01班 1.000 1.000 0.951 0.976 +13309 +$4\pi$ -021742 -20230425 2025届高一01班 0.988 +13310 +$-3\le a\le -1$ -021743 -20230425 2025届高一01班 0.927 +13311 +$9828$ -021744 -20230425 2025届高一01班 0.976 +13312 +C -021745 -20230425 2025届高一01班 0.854 0.780 +13313 +B -021746 -20230425 2025届高一01班 0.805 +13314 +C -021747 -20230425 2025届高一01班 0.927 +13315 +(1) 证明略; (2) $\dfrac{\sqrt{10}}5$ -021748 -20230425 2025届高一01班 0.732 +13316 +(1) $a_n=n-1$; (2) 证明略 -021739 -20230425 2025届高一04班 0.949 +13317 +$\sqrt{5}$ -021740 -20230425 2025届高一04班 0.949 +13318 +$\overrightarrow{AD}=\dfrac 23 \overrightarrow{a}+\dfrac 13 \overrightarrow{b}$ -021741 -20230425 2025届高一04班 1.000 1.000 1.000 1.000 +13319 +$\dfrac{16}{35}$ -021742 -20230425 2025届高一04班 0.962 +13320 +$[0,8)$ -021743 -20230425 2025届高一04班 0.910 +13321 +$\dfrac{25}{9}$ -021744 -20230425 2025届高一04班 0.923 +13322 +$[\dfrac 34,1]$ -021745 -20230425 2025届高一04班 1.000 0.885 +13323 +$3$ -021746 -20230425 2025届高一04班 0.744 +13324 +$0$ -021747 -20230425 2025届高一04班 0.897 +13325 +$\dfrac{\sqrt{3}}2$ -021748 -20230425 2025届高一04班 0.692 +13326 +$\dfrac 34$ -021739 -20230425 2025届高一05班 1.000 +13327 +C -021740 -20230425 2025届高一05班 1.000 +13328 +B -021741 -20230425 2025届高一05班 1.000 1.000 1.000 1.000 +13329 +B -021742 -20230425 2025届高一05班 0.974 +13330 +(1) 证明略; (2) $B_1D=\dfrac 12$ -021743 -20230425 2025届高一05班 0.859 +13331 +(1) $\dfrac{x^2}{4}+\dfrac{y^2}{3}=1$, $y\ne 0$; (2) $[12,8\sqrt{3})$; -021744 -20230425 2025届高一05班 1.000 +13332 +$\sqrt{3}$ -021745 -20230425 2025届高一05班 0.974 0.885 +13333 +$8$ -021746 -20230425 2025届高一05班 0.679 +13334 +$-\dfrac 12$ -021747 -20230425 2025届高一05班 0.846 +13335 +$0.14$ -021748 -20230425 2025届高一05班 0.667 +13336 +$1$ -021739 -20230425 2025届高一06班 1.000 +13337 +$-2$ -021740 -20230425 2025届高一06班 0.927 +13338 +$99.9\%$ -021741 -20230425 2025届高一06班 0.976 0.976 1.000 0.902 +13339 +$\dfrac 1{15}$ -021742 -20230425 2025届高一06班 0.866 +13340 +$4$ -021743 -20230425 2025届高一06班 0.951 +13341 +$2$ -021744 -20230425 2025届高一06班 1.000 +13342 +A -021745 -20230425 2025届高一06班 0.939 0.793 +13343 +B -021746 -20230425 2025届高一06班 0.646 +13344 +B -021747 -20230425 2025届高一06班 1.000 +13345 +(1) $\dfrac\pi 3$; (2) $\arcsin \dfrac{\sqrt{3}}3$ -021748 -20230425 2025届高一06班 0.732 +13346 +(1) $x=15$; (2) 比值为$\dfrac 12$ -021739 -20230425 2025届高一08班 1.000 +13347 +$-\dfrac 1{25}$ -021740 -20230425 2025届高一08班 0.971 +13348 +$-\dfrac{\sqrt{2}}2$ -021741 -20230425 2025届高一08班 1.000 1.000 1.000 1.000 +13349 +$6$ -021742 -20230425 2025届高一08班 0.986 +13350 +$(-1,-2)$ -021743 -20230425 2025届高一08班 0.986 +13351 +$4$ -021744 -20230425 2025届高一08班 0.886 +13352 +$0$ -021745 -20230425 2025届高一08班 1.000 0.857 +13353 +$12$ -021746 -20230425 2025届高一08班 0.700 +13354 +$1$ -021747 -20230425 2025届高一08班 0.971 +13355 +$\dfrac{\sqrt{3}}3$ -021748 -20230425 2025届高一08班 0.800 +13356 +$(0,\dfrac 14)$ -021739 -20230425 2025届高一09班 0.950 +13357 +B -021740 -20230425 2025届高一09班 0.975 +13358 +A -021741 -20230425 2025届高一09班 0.975 0.975 0.950 1.000 +13359 +D -021742 -20230425 2025届高一09班 0.988 +13360 +(1) $P(0,0)$或$P(-\dfrac 85,\dfrac 45)$; (2) 过定点$(-\dfrac 45,\dfrac 25)$ -021743 -20230425 2025届高一09班 0.887 +13361 +(1) $p=\dfrac 23$, $q=\dfrac 14$; (2) $\dfrac 16$ -021744 -20230425 2025届高一09班 0.963 +13362 +$\{5,7,9\}$ -021745 -20230425 2025届高一09班 0.975 0.863 +13363 +$a+b>2$ -021746 -20230425 2025届高一09班 0.762 +13364 +$(0,+\infty)$ -021747 -20230425 2025届高一09班 0.975 +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 -021748 -20230425 2025届高一09班 0.725 diff --git a/工具/讲义生成.py b/工具/讲义生成.py index 629b0ef4..f7c07928 100644 --- a/工具/讲义生成.py +++ b/工具/讲义生成.py @@ -10,22 +10,7 @@ paper_type = 3 # 随后设置一下后续的讲义标题 """---设置题块编号---""" problems = [ -# "012295:012297,012301,012305" -# "012316:012318,012322,012326" -# "012516:012518,012522,012526" -# "012537:012539,012543,012547" -# "012558:012560,012564,012568" -# "012579:012581,012585,012589" -# "012600:012602,012606,012610" -# "012621:012623,012627,012631" -# "012642:012644,012648,012652" -# "012663:012665,012669,012673" -# "012684:012686,012690,012694" -# "012705:012707,012711,012715" -# "012726:012728,012732,012736" -# "012768:012770,012774,012778" -"014519:014521,014525,014529" - +"13527:13541" ] """---设置结束---""" @@ -44,7 +29,7 @@ elif paper_type == 2: elif paper_type == 3: enumi_mode = 0 #设置模式(1为整卷统一编号, 0为每一部分从1开始编号) template_file = "模板文件/日常选题讲义模板.txt" #设置模板文件名 - exec_list = [("标题文字待处理","中档题冲刺15")] #设置讲义标题 + exec_list = [("标题文字待处理","双基训练11")] #设置讲义标题 destination_file = "临时文件/"+exec_list[0][1] # 设置输出文件名 diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 5b48ef41..ece98c9b 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -348895,7 +348895,7 @@ "第五单元" ], "genre": "填空题", - "ans": "", + "ans": "$2$", "solution": "", "duration": -1, "usages": [], @@ -348917,7 +348917,7 @@ "第一单元" ], "genre": "填空题", - "ans": "", + "ans": "$a>2$", "solution": "", "duration": -1, "usages": [], @@ -348939,7 +348939,7 @@ "第九单元" ], "genre": "填空题", - "ans": "", + "ans": "$89$", "solution": "", "duration": -1, "usages": [], @@ -348961,7 +348961,7 @@ "第一单元" ], "genre": "填空题", - "ans": "", + "ans": "$[-1,2]$", "solution": "", "duration": -1, "usages": [], @@ -348983,7 +348983,7 @@ "第八单元" ], "genre": "填空题", - "ans": "", + "ans": "$12$", "solution": "", "duration": -1, "usages": [], @@ -349005,7 +349005,7 @@ "第一单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac{3\\sqrt{2}}{4}$", "solution": "", "duration": -1, "usages": [], @@ -349027,7 +349027,7 @@ "第四单元" ], "genre": "填空题", - "ans": "", + "ans": "$16$", "solution": "", "duration": -1, "usages": [], @@ -349049,7 +349049,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\arctan \\dfrac{\\sqrt{6}}6$", "solution": "", "duration": -1, "usages": [], @@ -349071,7 +349071,7 @@ "第八单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac 56$", "solution": "", "duration": -1, "usages": [], @@ -349093,7 +349093,7 @@ "第七单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac{\\sqrt{5}}{3}$", "solution": "", "duration": -1, "usages": [], @@ -349150,7 +349150,7 @@ "第九单元" ], "genre": "选择题", - "ans": "", + "ans": "B", "solution": "", "duration": -1, "usages": [], @@ -349172,7 +349172,7 @@ "第七单元" ], "genre": "选择题", - "ans": "", + "ans": "C", "solution": "", "duration": -1, "usages": [], @@ -349194,7 +349194,7 @@ "第二单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) $a=4$; (2) 证明略", "solution": "", "duration": -1, "usages": [], @@ -349216,7 +349216,7 @@ "第三单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) $[k\\pi+\\dfrac\\pi 3,k\\pi+\\dfrac{5\\pi}6]$, $k\\in \\mathbf{Z}$; (2) $A=\\dfrac\\pi 3$, $b=2$, $S=2\\sqrt{3}$", "solution": "", "duration": -1, "usages": [], @@ -349238,7 +349238,7 @@ "第一单元" ], "genre": "填空题", - "ans": "", + "ans": "$(-\\infty,0)\\cup (1,+\\infty)$", "solution": "", "duration": -1, "usages": [], @@ -349260,7 +349260,7 @@ "第五单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac 32$", "solution": "", "duration": -1, "usages": [], @@ -349282,7 +349282,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$12\\pi$", "solution": "", "duration": -1, "usages": [ @@ -349308,7 +349308,7 @@ "第三单元" ], "genre": "填空题", - "ans": "", + "ans": "$-\\dfrac 43$", "solution": "", "duration": -1, "usages": [], @@ -349330,7 +349330,7 @@ "第八单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac 3{16}$", "solution": "", "duration": -1, "usages": [], @@ -349352,7 +349352,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$y=2x-\\mathrm{e}$", "solution": "", "duration": -1, "usages": [], @@ -349374,7 +349374,7 @@ "第八单元" ], "genre": "填空题", - "ans": "", + "ans": "$5$", "solution": "", "duration": -1, "usages": [], @@ -349396,7 +349396,7 @@ "第七单元" ], "genre": "填空题", - "ans": "", + "ans": "$4\\pi$", "solution": "", "duration": -1, "usages": [], @@ -349418,7 +349418,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$-3\\le a\\le -1$", "solution": "", "duration": -1, "usages": [], @@ -349440,7 +349440,7 @@ "第八单元" ], "genre": "填空题", - "ans": "", + "ans": "$9828$", "solution": "", "duration": -1, "usages": [], @@ -349462,7 +349462,7 @@ "第八单元" ], "genre": "选择题", - "ans": "", + "ans": "C", "solution": "", "duration": -1, "usages": [], @@ -349484,7 +349484,7 @@ "第八单元" ], "genre": "选择题", - "ans": "", + "ans": "B", "solution": "", "duration": -1, "usages": [], @@ -349507,7 +349507,7 @@ "第三单元" ], "genre": "选择题", - "ans": "", + "ans": "C", "solution": "", "duration": -1, "usages": [], @@ -349529,7 +349529,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) 证明略; (2) $\\dfrac{\\sqrt{10}}5$", "solution": "", "duration": -1, "usages": [], @@ -349551,7 +349551,7 @@ "第四单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) $a_n=n-1$; (2) 证明略", "solution": "", "duration": -1, "usages": [], @@ -349573,7 +349573,7 @@ "第五单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\sqrt{5}$", "solution": "", "duration": -1, "usages": [], @@ -349595,7 +349595,7 @@ "第五单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\overrightarrow{AD}=\\dfrac 23 \\overrightarrow{a}+\\dfrac 13 \\overrightarrow{b}$", "solution": "", "duration": -1, "usages": [], @@ -349617,7 +349617,7 @@ "第八单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac{16}{35}$", "solution": "", "duration": -1, "usages": [], @@ -349639,7 +349639,7 @@ "第一单元" ], "genre": "填空题", - "ans": "", + "ans": "$[0,8)$", "solution": "", "duration": -1, "usages": [], @@ -349661,7 +349661,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac{25}{9}$", "solution": "", "duration": -1, "usages": [], @@ -349683,7 +349683,7 @@ "第三单元" ], "genre": "填空题", - "ans": "", + "ans": "$[\\dfrac 34,1]$", "solution": "", "duration": -1, "usages": [], @@ -349705,7 +349705,7 @@ "第四单元" ], "genre": "填空题", - "ans": "", + "ans": "$3$", "solution": "", "duration": -1, "usages": [], @@ -349727,7 +349727,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$0$", "solution": "", "duration": -1, "usages": [], @@ -349749,7 +349749,7 @@ "第七单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac{\\sqrt{3}}2$", "solution": "", "duration": -1, "usages": [], @@ -349771,7 +349771,7 @@ "第八单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac 34$", "solution": "", "duration": -1, "usages": [], @@ -349793,7 +349793,7 @@ "第三单元" ], "genre": "选择题", - "ans": "", + "ans": "C", "solution": "", "duration": -1, "usages": [], @@ -349815,7 +349815,7 @@ "暂无对应" ], "genre": "选择题", - "ans": "", + "ans": "B", "solution": "", "duration": -1, "usages": [], @@ -349837,7 +349837,7 @@ "第四单元" ], "genre": "选择题", - "ans": "", + "ans": "B", "solution": "", "duration": -1, "usages": [], @@ -349859,7 +349859,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) 证明略; (2) $B_1D=\\dfrac 12$", "solution": "", "duration": -1, "usages": [], @@ -349881,7 +349881,7 @@ "第七单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) $\\dfrac{x^2}{4}+\\dfrac{y^2}{3}=1$, $y\\ne 0$; (2) $[12,8\\sqrt{3})$;", "solution": "", "duration": -1, "usages": [], @@ -349903,7 +349903,7 @@ "第五单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\sqrt{3}$", "solution": "", "duration": -1, "usages": [], @@ -349927,7 +349927,7 @@ "第五单元" ], "genre": "填空题", - "ans": "", + "ans": "$8$", "solution": "", "duration": -1, "usages": [], @@ -349984,7 +349984,7 @@ "第八单元" ], "genre": "填空题", - "ans": "", + "ans": "$0.14$", "solution": "", "duration": -1, "usages": [], @@ -350006,7 +350006,7 @@ "第三单元" ], "genre": "填空题", - "ans": "", + "ans": "$1$", "solution": "", "duration": -1, "usages": [], @@ -350028,7 +350028,7 @@ "第八单元" ], "genre": "填空题", - "ans": "", + "ans": "$-2$", "solution": "", "duration": -1, "usages": [], @@ -350050,7 +350050,7 @@ "第九单元" ], "genre": "填空题", - "ans": "", + "ans": "$99.9\\%$", "solution": "", "duration": -1, "usages": [], @@ -350072,7 +350072,7 @@ "第八单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac 1{15}$", "solution": "", "duration": -1, "usages": [], @@ -350094,7 +350094,7 @@ "第七单元" ], "genre": "填空题", - "ans": "", + "ans": "$4$", "solution": "", "duration": -1, "usages": [], @@ -350116,7 +350116,7 @@ "第七单元" ], "genre": "填空题", - "ans": "", + "ans": "$2$", "solution": "", "duration": -1, "usages": [], @@ -350138,7 +350138,7 @@ "第二单元" ], "genre": "选择题", - "ans": "", + "ans": "A", "solution": "", "duration": -1, "usages": [], @@ -350160,7 +350160,7 @@ "第三单元" ], "genre": "选择题", - "ans": "", + "ans": "B", "solution": "", "duration": -1, "usages": [], @@ -350182,7 +350182,7 @@ "第七单元" ], "genre": "选择题", - "ans": "", + "ans": "B", "solution": "", "duration": -1, "usages": [], @@ -350204,7 +350204,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) $\\dfrac\\pi 3$; (2) $\\arcsin \\dfrac{\\sqrt{3}}3$", "solution": "", "duration": -1, "usages": [], @@ -350226,7 +350226,7 @@ "第二单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) $x=15$; (2) 比值为$\\dfrac 12$", "solution": "", "duration": -1, "usages": [], @@ -350248,7 +350248,7 @@ "第五单元" ], "genre": "填空题", - "ans": "", + "ans": "$-\\dfrac 1{25}$", "solution": "", "duration": -1, "usages": [], @@ -350270,7 +350270,7 @@ "第三单元" ], "genre": "填空题", - "ans": "", + "ans": "$-\\dfrac{\\sqrt{2}}2$", "solution": "", "duration": -1, "usages": [], @@ -350292,7 +350292,7 @@ "第九单元" ], "genre": "填空题", - "ans": "", + "ans": "$6$", "solution": "", "duration": -1, "usages": [], @@ -350314,7 +350314,7 @@ "第五单元" ], "genre": "填空题", - "ans": "", + "ans": "$(-1,-2)$", "solution": "", "duration": -1, "usages": [], @@ -350336,7 +350336,7 @@ "第一单元" ], "genre": "填空题", - "ans": "", + "ans": "$4$", "solution": "", "duration": -1, "usages": [], @@ -350358,7 +350358,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$0$", "solution": "", "duration": -1, "usages": [], @@ -350380,7 +350380,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$12$", "solution": "", "duration": -1, "usages": [], @@ -350402,7 +350402,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$1$", "solution": "", "duration": -1, "usages": [], @@ -350424,7 +350424,7 @@ "第七单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac{\\sqrt{3}}3$", "solution": "", "duration": -1, "usages": [], @@ -350446,7 +350446,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$(0,\\dfrac 14)$", "solution": "", "duration": -1, "usages": [], @@ -350468,7 +350468,7 @@ "第四单元" ], "genre": "选择题", - "ans": "", + "ans": "B", "solution": "", "duration": -1, "usages": [], @@ -350490,7 +350490,7 @@ "第三单元" ], "genre": "选择题", - "ans": "", + "ans": "A", "solution": "", "duration": -1, "usages": [], @@ -350512,7 +350512,7 @@ "第七单元" ], "genre": "选择题", - "ans": "", + "ans": "D", "solution": "", "duration": -1, "usages": [], @@ -350534,7 +350534,7 @@ "第七单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) $P(0,0)$或$P(-\\dfrac 85,\\dfrac 45)$; (2) 过定点$(-\\dfrac 45,\\dfrac 25)$", "solution": "", "duration": -1, "usages": [], @@ -350556,7 +350556,7 @@ "第八单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) $p=\\dfrac 23$, $q=\\dfrac 14$; (2) $\\dfrac 16$", "solution": "", "duration": -1, "usages": [], @@ -350578,7 +350578,7 @@ "第一单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\{5,7,9\\}$", "solution": "", "duration": -1, "usages": [], @@ -350600,7 +350600,7 @@ "第一单元" ], "genre": "填空题", - "ans": "", + "ans": "$a+b>2$", "solution": "", "duration": -1, "usages": [], @@ -350622,7 +350622,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$(0,+\\infty)$", "solution": "", "duration": -1, "usages": [], @@ -350644,7 +350644,7 @@ "第三单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac 23$", "solution": "", "duration": -1, "usages": [], @@ -350666,7 +350666,7 @@ "第四单元" ], "genre": "填空题", - "ans": "", + "ans": "$25$", "solution": "", "duration": -1, "usages": [], @@ -350688,7 +350688,7 @@ "第一单元" ], "genre": "填空题", - "ans": "", + "ans": "$(-\\infty,-8]\\cup [2,+\\infty)$", "solution": "", "duration": -1, "usages": [], @@ -350710,7 +350710,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac 52$", "solution": "", "duration": -1, "usages": [], @@ -350732,7 +350732,7 @@ "第八单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac 23$", "solution": "", "duration": -1, "usages": [], @@ -350754,7 +350754,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "\\textcircled{2}\\textcircled{3}", "solution": "", "duration": -1, "usages": [], @@ -350776,7 +350776,7 @@ "第三单元" ], "genre": "填空题", - "ans": "", + "ans": "$9$", "solution": "", "duration": -1, "usages": [], @@ -350798,7 +350798,7 @@ "第五单元" ], "genre": "选择题", - "ans": "", + "ans": "B", "solution": "", "duration": -1, "usages": [], @@ -350820,7 +350820,7 @@ "第九单元" ], "genre": "选择题", - "ans": "", + "ans": "D", "solution": "", "duration": -1, "usages": [], @@ -350842,7 +350842,7 @@ "第七单元" ], "genre": "选择题", - "ans": "", + "ans": "D", "solution": "", "duration": -1, "usages": [], @@ -350864,7 +350864,7 @@ "第二单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) $x=1$; (2) $[\\dfrac 12,+\\infty)$", "solution": "", "duration": -1, "usages": [], @@ -350886,7 +350886,7 @@ "第七单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) $\\dfrac{x^2}{4}+\\dfrac{y^2}{2}=1$; (2) $y=\\pm \\dfrac{\\sqrt{2}}2+1$", "solution": "", "duration": -1, "usages": [], @@ -350908,7 +350908,7 @@ "第一单元" ], "genre": "填空题", - "ans": "", + "ans": "$1$", "solution": "", "duration": -1, "usages": [ @@ -350934,7 +350934,7 @@ "第七单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac{5\\pi}6$", "solution": "", "duration": -1, "usages": [], @@ -350956,7 +350956,7 @@ "第三单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\pi$", "solution": "", "duration": -1, "usages": [], @@ -350978,7 +350978,7 @@ "第七单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac{\\sqrt{5}-1}2$", "solution": "", "duration": -1, "usages": [], @@ -351000,7 +351000,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$1:2\\sqrt{2}$", "solution": "", "duration": -1, "usages": [], @@ -351022,7 +351022,7 @@ "第七单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac{x^2}{18}-\\dfrac{y^2}{9}=1$", "solution": "", "duration": -1, "usages": [], @@ -351044,7 +351044,7 @@ "第八单元" ], "genre": "填空题", - "ans": "", + "ans": "$0.88$", "solution": "", "duration": -1, "usages": [], @@ -351066,7 +351066,7 @@ "第八单元" ], "genre": "填空题", - "ans": "", + "ans": "$0.95$", "solution": "", "duration": -1, "usages": [], @@ -351088,7 +351088,7 @@ "第九单元" ], "genre": "填空题", - "ans": "", + "ans": "$7$", "solution": "", "duration": -1, "usages": [], @@ -351110,7 +351110,7 @@ "第一单元" ], "genre": "填空题", - "ans": "", + "ans": "$(-\\infty,8)$", "solution": "", "duration": -1, "usages": [], @@ -351132,7 +351132,7 @@ "第六单元" ], "genre": "选择题", - "ans": "", + "ans": "D", "solution": "", "duration": -1, "usages": [], @@ -351154,7 +351154,7 @@ "第二单元" ], "genre": "选择题", - "ans": "", + "ans": "A", "solution": "", "duration": -1, "usages": [], @@ -351176,7 +351176,7 @@ "第六单元" ], "genre": "选择题", - "ans": "", + "ans": "C", "solution": "", "duration": -1, "usages": [], @@ -351198,7 +351198,7 @@ "第二单元" ], "genre": "解答题", - "ans": "", + "ans": "(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", "solution": "", "duration": -1, "usages": [], @@ -351220,7 +351220,7 @@ "第三单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) $y=2\\sin(2x+\\dfrac\\pi 3)-1$; (2) $[-1,1]$", "solution": "", "duration": -1, "usages": [], @@ -351242,7 +351242,7 @@ "第一单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\{-1,2\\}$", "solution": "", "duration": -1, "usages": [], @@ -351264,7 +351264,7 @@ "第四单元" ], "genre": "填空题", - "ans": "", + "ans": "$8$", "solution": "", "duration": -1, "usages": [], @@ -351286,7 +351286,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$7$", "solution": "", "duration": -1, "usages": [], @@ -351308,7 +351308,7 @@ "第八单元" ], "genre": "填空题", - "ans": "", + "ans": "$0.3$", "solution": "", "duration": -1, "usages": [], @@ -351330,7 +351330,7 @@ "第八单元" ], "genre": "填空题", - "ans": "", + "ans": "$0.2$", "solution": "", "duration": -1, "usages": [], @@ -351352,7 +351352,7 @@ "第九单元" ], "genre": "填空题", - "ans": "", + "ans": "$1$", "solution": "", "duration": -1, "usages": [], @@ -351374,7 +351374,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$6$", "solution": "", "duration": -1, "usages": [], @@ -351396,7 +351396,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\mathrm{e}-1$", "solution": "", "duration": -1, "usages": [], @@ -351418,7 +351418,7 @@ "第八单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac{7}{25}$", "solution": "", "duration": -1, "usages": [], @@ -351440,7 +351440,7 @@ "第五单元" ], "genre": "填空题", - "ans": "", + "ans": "\\textcircled{1}\\textcircled{2}\\textcircled{3}\\textcircled{5}", "solution": "", "duration": -1, "usages": [], @@ -351462,7 +351462,7 @@ "第六单元" ], "genre": "选择题", - "ans": "", + "ans": "C", "solution": "", "duration": -1, "usages": [], @@ -351484,7 +351484,7 @@ "第九单元" ], "genre": "选择题", - "ans": "", + "ans": "A", "solution": "", "duration": -1, "usages": [], @@ -351506,7 +351506,7 @@ "第三单元" ], "genre": "选择题", - "ans": "", + "ans": "D", "solution": "", "duration": -1, "usages": [], @@ -351528,7 +351528,7 @@ "第七单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) $\\dfrac{x^2}{4}+\\dfrac{y^2}{2}=1$; (2) $[0,2]$", "solution": "", "duration": -1, "usages": [], @@ -351550,7 +351550,7 @@ "第四单元" ], "genre": "解答题", - "ans": "", + "ans": "(I) (1) 证明略; (2) $S_n=4-\\dfrac{n+2}{2^{n-1}}$; (II) 证明略", "solution": "", "duration": -1, "usages": [], @@ -351572,7 +351572,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$(0,1)\\cup (1,2]$", "solution": "", "duration": -1, "usages": [], @@ -351594,7 +351594,7 @@ "第五单元" ], "genre": "填空题", - "ans": "", + "ans": "$-\\sqrt{13}$", "solution": "", "duration": -1, "usages": [], @@ -351616,7 +351616,7 @@ "第七单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\sqrt{2}$", "solution": "", "duration": -1, "usages": [], @@ -351638,7 +351638,7 @@ "第九单元" ], "genre": "填空题", - "ans": "", + "ans": "$0.0044$", "solution": "", "duration": -1, "usages": [], @@ -351660,7 +351660,7 @@ "第八单元" ], "genre": "填空题", - "ans": "", + "ans": "$20$", "solution": "", "duration": -1, "usages": [], @@ -351682,7 +351682,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$2$", "solution": "", "duration": -1, "usages": [], @@ -351704,7 +351704,7 @@ "第四单元" ], "genre": "填空题", - "ans": "", + "ans": "$2\\sqrt{2}$", "solution": "", "duration": -1, "usages": [], @@ -351726,7 +351726,7 @@ "第七单元" ], "genre": "填空题", - "ans": "", + "ans": "$x=-1$", "solution": "", "duration": -1, "usages": [], @@ -351748,7 +351748,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac\\pi 2$", "solution": "", "duration": -1, "usages": [], @@ -351771,7 +351771,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$-1$", "solution": "", "duration": -1, "usages": [], @@ -351793,7 +351793,7 @@ "第九单元" ], "genre": "选择题", - "ans": "", + "ans": "D", "solution": "", "duration": -1, "usages": [], @@ -351815,7 +351815,7 @@ "第二单元" ], "genre": "选择题", - "ans": "", + "ans": "D", "solution": "", "duration": -1, "usages": [], @@ -351837,7 +351837,7 @@ "第一单元" ], "genre": "选择题", - "ans": "", + "ans": "C", "solution": "", "duration": -1, "usages": [], @@ -351859,7 +351859,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) 证明略; (2) $\\dfrac{\\sqrt{3}}3$", "solution": "", "duration": -1, "usages": [], @@ -351881,7 +351881,7 @@ "第三单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) $BD=BA$; (2) 约$0.33\\text{km}$", "solution": "", "duration": -1, "usages": [], @@ -351903,7 +351903,7 @@ "第四单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac 32$", "solution": "", "duration": -1, "usages": [], @@ -351925,7 +351925,7 @@ "第一单元" ], "genre": "填空题", - "ans": "", + "ans": "$(3,4)$", "solution": "", "duration": -1, "usages": [], @@ -351947,7 +351947,7 @@ "第五单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\sqrt{7}$", "solution": "", "duration": -1, "usages": [], @@ -351969,7 +351969,7 @@ "第九单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac{9}{4}$或$\\dfrac{4}{9}$", "solution": "", "duration": -1, "usages": [], @@ -351991,7 +351991,7 @@ "第三单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac{24}{25}$", "solution": "", "duration": -1, "usages": [], @@ -352013,7 +352013,7 @@ "第三单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac 34$", "solution": "", "duration": -1, "usages": [], @@ -352035,7 +352035,7 @@ "第四单元" ], "genre": "填空题", - "ans": "", + "ans": "$100$", "solution": "", "duration": -1, "usages": [], @@ -352057,7 +352057,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$-\\dfrac{11}{16}$", "solution": "", "duration": -1, "usages": [], @@ -352079,7 +352079,7 @@ "第八单元" ], "genre": "填空题", - "ans": "", + "ans": "$30$", "solution": "", "duration": -1, "usages": [], @@ -352101,7 +352101,7 @@ "第三单元" ], "genre": "填空题", - "ans": "", + "ans": "$[\\dfrac 73,\\dfrac{13}{3})$", "solution": "", "duration": -1, "usages": [], @@ -352123,7 +352123,7 @@ "第一单元" ], "genre": "选择题", - "ans": "", + "ans": "B", "solution": "", "duration": -1, "usages": [], @@ -352145,7 +352145,7 @@ "第二单元" ], "genre": "选择题", - "ans": "", + "ans": "B", "solution": "", "duration": -1, "usages": [], @@ -352167,7 +352167,7 @@ "第八单元" ], "genre": "选择题", - "ans": "", + "ans": "A", "solution": "", "duration": -1, "usages": [], @@ -352189,7 +352189,7 @@ "第七单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) $\\dfrac{2\\sqrt{6}}3$; (2) $\\dfrac{\\sqrt{10}}2\\text{千米}$", "solution": "", "duration": -1, "usages": [], @@ -352211,7 +352211,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) 证明略; (2) $\\dfrac{4\\sqrt{3}}7$", "solution": "", "duration": -1, "usages": [], @@ -352233,7 +352233,7 @@ "第一单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\{1,3,5\\}$", "solution": "", "duration": -1, "usages": [], @@ -352255,7 +352255,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$1$", "solution": "", "duration": -1, "usages": [], @@ -352277,7 +352277,7 @@ "第八单元" ], "genre": "填空题", - "ans": "", + "ans": "$2m-1$", "solution": "", "duration": -1, "usages": [], @@ -352299,7 +352299,7 @@ "第八单元" ], "genre": "填空题", - "ans": "", + "ans": "$8$", "solution": "", "duration": -1, "usages": [], @@ -352321,7 +352321,7 @@ "第四单元" ], "genre": "填空题", - "ans": "", + "ans": "$45$", "solution": "", "duration": -1, "usages": [], @@ -352343,7 +352343,7 @@ "第七单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\sqrt{5}$", "solution": "", "duration": -1, "usages": [], @@ -352365,7 +352365,7 @@ "第五单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\pi-\\arctan\\dfrac 32$", "solution": "", "duration": -1, "usages": [], @@ -352387,7 +352387,7 @@ "第八单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac{11}{12}$", "solution": "", "duration": -1, "usages": [], @@ -352409,7 +352409,7 @@ "第三单元" ], "genre": "填空题", - "ans": "", + "ans": "$-3$", "solution": "", "duration": -1, "usages": [], @@ -352431,7 +352431,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$[-2,6]$", "solution": "", "duration": -1, "usages": [], @@ -352453,7 +352453,7 @@ "第二单元" ], "genre": "选择题", - "ans": "", + "ans": "C", "solution": "", "duration": -1, "usages": [], @@ -352475,7 +352475,7 @@ "第九单元" ], "genre": "选择题", - "ans": "", + "ans": "C", "solution": "", "duration": -1, "usages": [], @@ -352497,7 +352497,7 @@ "第二单元" ], "genre": "选择题", - "ans": "", + "ans": "D", "solution": "", "duration": -1, "usages": [], @@ -352519,7 +352519,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) $4\\pi$; (2) $\\arctan\\dfrac{\\sqrt{2}}2$", "solution": "", "duration": -1, "usages": [], @@ -352541,7 +352541,7 @@ "第四单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) 第一个数列具有性质$P$, 第二个数列不具有性质$P$; (2) $(-\\infty,-2]\\cup [0,+\\infty)$", "solution": "", "duration": -1, "usages": [], @@ -352563,7 +352563,7 @@ "第七单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac 34\\pi$", "solution": "", "duration": -1, "usages": [], @@ -352585,7 +352585,7 @@ "第五单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\sqrt{7}$", "solution": "", "duration": -1, "usages": [], @@ -352607,7 +352607,7 @@ "第四单元" ], "genre": "填空题", - "ans": "", + "ans": "$4$", "solution": "", "duration": -1, "usages": [], @@ -352629,7 +352629,7 @@ "第三单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac{24}{25}$", "solution": "", "duration": -1, "usages": [], @@ -352651,7 +352651,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$y=\\dfrac {1}{\\mathrm{e}}x$", "solution": "", "duration": -1, "usages": [], @@ -352673,7 +352673,7 @@ "第八单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac{16}{35}$", "solution": "", "duration": -1, "usages": [], @@ -352695,7 +352695,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$[1,3]$", "solution": "", "duration": -1, "usages": [], @@ -352717,7 +352717,7 @@ "第八单元" ], "genre": "填空题", - "ans": "", + "ans": "$36$", "solution": "", "duration": -1, "usages": [], @@ -352739,7 +352739,7 @@ "第八单元" ], "genre": "填空题", - "ans": "", + "ans": "$30$", "solution": "", "duration": -1, "usages": [], @@ -352761,7 +352761,7 @@ "第七单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac{2\\sqrt{3}}3$", "solution": "", "duration": -1, "usages": [], @@ -352783,7 +352783,7 @@ "第九单元" ], "genre": "选择题", - "ans": "", + "ans": "B", "solution": "", "duration": -1, "usages": [], @@ -352805,7 +352805,7 @@ "第五单元" ], "genre": "选择题", - "ans": "", + "ans": "B", "solution": "", "duration": -1, "usages": [], @@ -352827,7 +352827,7 @@ "第六单元" ], "genre": "选择题", - "ans": "", + "ans": "C", "solution": "", "duration": -1, "usages": [], @@ -352849,7 +352849,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) 证明略; (2) $\\dfrac{\\sqrt{5}}5$", "solution": "", "duration": -1, "usages": [], @@ -352871,7 +352871,7 @@ "第三单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) $[\\dfrac 14,1)$; (2) 当$\\theta=\\dfrac{\\pi}{6}$时", "solution": "", "duration": -1, "usages": [], @@ -352893,7 +352893,7 @@ "第五单元" ], "genre": "填空题", - "ans": "", + "ans": "$-2$", "solution": "", "duration": -1, "usages": [], @@ -352915,7 +352915,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$2\\sqrt{2}$", "solution": "", "duration": -1, "usages": [], @@ -352937,7 +352937,7 @@ "第八单元" ], "genre": "填空题", - "ans": "", + "ans": "$16$", "solution": "", "duration": -1, "usages": [], @@ -352959,7 +352959,7 @@ "第一单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac 14$", "solution": "", "duration": -1, "usages": [], @@ -352981,7 +352981,7 @@ "第八单元" ], "genre": "填空题", - "ans": "", + "ans": "$5$", "solution": "", "duration": -1, "usages": [], @@ -353003,7 +353003,7 @@ "第三单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac{3\\pi}{4}$", "solution": "", "duration": -1, "usages": [], @@ -353025,7 +353025,7 @@ "第七单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\sqrt{10}$", "solution": "", "duration": -1, "usages": [], @@ -353047,7 +353047,7 @@ "第五单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac{21}{16}$", "solution": "", "duration": -1, "usages": [], @@ -353069,7 +353069,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "\\textcircled{1}\\textcircled{2}\\textcircled{3}\\textcircled{4}", "solution": "", "duration": -1, "usages": [], @@ -353092,7 +353092,7 @@ "第四单元" ], "genre": "填空题", - "ans": "", + "ans": "$7$", "solution": "", "duration": -1, "usages": [], @@ -353114,7 +353114,7 @@ "第二单元" ], "genre": "选择题", - "ans": "", + "ans": "B", "solution": "", "duration": -1, "usages": [], @@ -353136,7 +353136,7 @@ "第三单元" ], "genre": "选择题", - "ans": "", + "ans": "A", "solution": "", "duration": -1, "usages": [], @@ -353158,7 +353158,7 @@ "第二单元" ], "genre": "选择题", - "ans": "", + "ans": "C", "solution": "", "duration": -1, "usages": [], @@ -353182,7 +353182,7 @@ "第八单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) $\\dfrac 34$; (2) $\\dfrac{13}{36}$", "solution": "", "duration": -1, "usages": [], @@ -353204,7 +353204,7 @@ "第二单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) $-1$; (2) $(0,+\\infty)$", "solution": "", "duration": -1, "usages": [], @@ -353226,7 +353226,7 @@ "第五单元" ], "genre": "填空题", - "ans": "", + "ans": "$1$", "solution": "", "duration": -1, "usages": [], @@ -353248,7 +353248,7 @@ "第八单元" ], "genre": "填空题", - "ans": "", + "ans": "$60$", "solution": "", "duration": -1, "usages": [], @@ -353270,7 +353270,7 @@ "第八单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac{80}{243}$", "solution": "", "duration": -1, "usages": [], @@ -353292,7 +353292,7 @@ "第八单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac 13$", "solution": "", "duration": -1, "usages": [], @@ -353314,7 +353314,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\arccos\\dfrac{\\sqrt{15}}{10}$", "solution": "", "duration": -1, "usages": [], @@ -353336,7 +353336,7 @@ "第四单元" ], "genre": "填空题", - "ans": "", + "ans": "$2-\\dfrac 1n$", "solution": "", "duration": -1, "usages": [], @@ -353358,7 +353358,7 @@ "第九单元" ], "genre": "填空题", - "ans": "", + "ans": "$21$", "solution": "", "duration": -1, "usages": [], @@ -353380,7 +353380,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$y=\\begin{cases}x^2+\\dfrac 1x, & x>0, \\\\ 0, & x=0, \\\\ -x^2+\\dfrac 1x, & x<0\\end{cases}$", "solution": "", "duration": -1, "usages": [], @@ -353402,7 +353402,7 @@ "第三单元" ], "genre": "填空题", - "ans": "", + "ans": "$a=2$或$a\\ge 2\\sqrt{2}$其中的一个即可", "solution": "", "duration": -1, "usages": [], @@ -353424,7 +353424,7 @@ "第五单元" ], "genre": "填空题", - "ans": "", + "ans": "$4$", "solution": "", "duration": -1, "usages": [], @@ -353446,7 +353446,7 @@ "第一单元" ], "genre": "选择题", - "ans": "", + "ans": "A", "solution": "", "duration": -1, "usages": [], @@ -353468,7 +353468,7 @@ "第六单元" ], "genre": "选择题", - "ans": "", + "ans": "C", "solution": "", "duration": -1, "usages": [], @@ -353490,7 +353490,7 @@ "第四单元" ], "genre": "选择题", - "ans": "", + "ans": "B", "solution": "", "duration": -1, "usages": [], @@ -353512,7 +353512,7 @@ "第二单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) $y=x-1$; (2) $(-\\infty,\\dfrac 32)$", "solution": "", "duration": -1, "usages": [], @@ -353534,7 +353534,7 @@ "第七单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) 证明略; (2) $6\\sqrt{2}$", "solution": "", "duration": -1, "usages": [], @@ -353556,7 +353556,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$6$", "solution": "", "duration": -1, "usages": [], @@ -353578,7 +353578,7 @@ "第七单元" ], "genre": "填空题", - "ans": "", + "ans": "$2$", "solution": "", "duration": -1, "usages": [], @@ -353600,7 +353600,7 @@ "第八单元" ], "genre": "填空题", - "ans": "", + "ans": "$1-k$", "solution": "", "duration": -1, "usages": [], @@ -353622,7 +353622,7 @@ "第七单元" ], "genre": "填空题", - "ans": "", + "ans": "$4$", "solution": "", "duration": -1, "usages": [], @@ -353644,7 +353644,7 @@ "第九单元" ], "genre": "填空题", - "ans": "", + "ans": "$15$", "solution": "", "duration": -1, "usages": [], @@ -353666,7 +353666,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$(\\dfrac 12,1)$", "solution": "", "duration": -1, "usages": [], @@ -353688,7 +353688,7 @@ "第八单元" ], "genre": "填空题", - "ans": "", + "ans": "$0.568$", "solution": "", "duration": -1, "usages": [], @@ -353710,7 +353710,7 @@ "第三单元" ], "genre": "填空题", - "ans": "", + "ans": "$1$", "solution": "", "duration": -1, "usages": [], @@ -353732,7 +353732,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\lambda\\ge -3$", "solution": "", "duration": -1, "usages": [], @@ -353754,7 +353754,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac{56}3$", "solution": "", "duration": -1, "usages": [], @@ -353776,7 +353776,7 @@ "第三单元" ], "genre": "选择题", - "ans": "", + "ans": "A", "solution": "", "duration": -1, "usages": [], @@ -353833,7 +353833,7 @@ "第八单元" ], "genre": "选择题", - "ans": "", + "ans": "D", "solution": "", "duration": -1, "usages": [], @@ -353855,7 +353855,7 @@ "第一单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) $(3,5)$; (2) $[2,\\dfrac 52]$", "solution": "", "duration": -1, "usages": [], @@ -353877,7 +353877,7 @@ "第四单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) 约$16173$升; (2) 从第$13$个月起", "solution": "", "duration": -1, "usages": [],