diff --git a/工具/分年级专用工具/小闲平台作业测验数据导入.ipynb b/工具/分年级专用工具/小闲平台作业测验数据导入.ipynb index 6f85dea4..d2f083a3 100644 --- a/工具/分年级专用工具/小闲平台作业测验数据导入.ipynb +++ b/工具/分年级专用工具/小闲平台作业测验数据导入.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -92,7 +92,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3.9.7 ('base')", + "display_name": "Python 3.8.15 ('mathdept')", "language": "python", "name": "python3" }, @@ -106,12 +106,12 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.7" + "version": "3.8.15" }, "orig_nbformat": 4, "vscode": { "interpreter": { - "hash": "e4cce46d6be9934fbd27f9ca0432556941ea5bdf741d4f4d64c6cd7f8dfa8fba" + "hash": "42dd566da87765ddbe9b5c5b483063747fec4aacc5469ad554706e4b742e67b2" } } }, diff --git a/工具/批量添加题库字段数据.ipynb b/工具/批量添加题库字段数据.ipynb index d6a65a23..dfd8b725 100644 --- a/工具/批量添加题库字段数据.ipynb +++ b/工具/批量添加题库字段数据.ipynb @@ -2,45 +2,134 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "题号: 003400 , 字段: ans 中已修改数据: $(4,5)$\n", - "题号: 002329 , 字段: ans 中已修改数据: $\\dfrac{y^2}{25}+\\dfrac{x^2}{16}=1$或$\\dfrac{x^2}{25}+\\dfrac{y^2}{9}=1$\n", - "题号: 008873 , 字段: ans 中已修改数据: (1) $\\dfrac{x^2}{100}+\\dfrac{y^2}{64}=1$; (2) $\\dfrac{x^2}{6}+\\dfrac{y^2}{4}=1$; (3) $\\dfrac{x^2}8+\\dfrac{y^2}4=1$或$\\dfrac{y^2}8+\\dfrac{x^2}4=1$\n", - "题号: 002342 , 字段: ans 中已修改数据: $\\sqrt{3}-1$\n", - "题号: 010673 , 字段: ans 中已修改数据: $\\dfrac{x^2}{5.9^2}+\\dfrac{y^2}{5.8^2}=1$(以$1\\times 10^8\\text{km}$为单位)\n", - "题号: 002325 , 字段: ans 中已修改数据: $2x+4y-3=0$\n", - "题号: 004717 , 字段: ans 中已修改数据: B\n", - "题号: 002348 , 字段: ans 中已修改数据: $(-\\sqrt{5},0)$或$(\\sqrt{5},0)$\n", - "题号: 009985 , 字段: ans 中已修改数据: $6$\n", - "题号: 009830 , 字段: ans 中已修改数据: A\n", - "题号: 009832 , 字段: ans 中已修改数据: (1) $\\dfrac{x^2}{25}-\\dfrac{y^2}{3}=1$; (2) $\\dfrac{x^2}{16}-\\dfrac{y^2}9=1$\n", - "题号: 002372 , 字段: ans 中已修改数据: $\\dfrac{x^2}{64/9}-\\dfrac{y^2}4=1$\n", - "题号: 003431 , 字段: ans 中已修改数据: $3$\n", - "题号: 008952 , 字段: ans 中已修改数据: 斜率为$2$, 但是判别式小于零, 故直线不存在.\n", - "题号: 007380 , 字段: ans 中已修改数据: C\n", - "题号: 003666 , 字段: ans 中已修改数据: D\n", - "题号: 007455 , 字段: ans 中已修改数据: $120$\n", - "题号: 007502 , 字段: ans 中已修改数据: $20$\n", - "题号: 007521 , 字段: ans 中已修改数据: $2520$\n", - "题号: 010861 , 字段: ans 中已修改数据: $24$\n", - "题号: 009333 , 字段: ans 中已修改数据: $375$\n", - "题号: 007673 , 字段: ans 中已修改数据: $78120$\n", - "题号: 002537 , 字段: ans 中已修改数据: $3720$\n", - "题号: 002586 , 字段: ans 中已修改数据: $45213$, $88$\n", - "题号: 007432 , 字段: ans 中已修改数据: (1) $72$; (2) $72$; (3) $72$\n", - "题号: 002563 , 字段: ans 中已修改数据: $1-\\dfrac{1}{(n+1)!}$\n", - "题号: 009262 , 字段: ans 中已修改数据: (1) $6$; (2) $5$; (3) $4$\n", - "题号: 007476 , 字段: ans 中已修改数据: $3$或$6$\n", - "题号: 007494 , 字段: ans 中已修改数据: 证明略\n", - "题号: 003640 , 字段: ans 中已修改数据: $\\dfrac{27}{100}$\n", - "题号: 009351 , 字段: ans 中已修改数据: $\\dfrac{11}{21}$\n", - "题号: 003574 , 字段: ans 中已修改数据: $0.985$\n" + "题号: 002623 , 字段: usages 中已添加数据: 20221208\t2023届高三10班\t0.800\n", + "题号: 003764 , 字段: usages 中已添加数据: 20221208\t2023届高三10班\t1.000\n", + "题号: 007575 , 字段: usages 中已添加数据: 20221208\t2023届高三10班\t0.800\n", + "题号: 007528 , 字段: usages 中已添加数据: 20221208\t2023届高三10班\t0.714\n", + "题号: 030495 , 字段: usages 中已添加数据: 20221208\t2023届高三10班\t0.629\n", + "题号: 007630 , 字段: usages 中已添加数据: 20221208\t2023届高三10班\t0.971\n", + "题号: 004342 , 字段: usages 中已添加数据: 20221208\t2023届高三10班\t0.943\n", + "题号: 007535 , 字段: usages 中已添加数据: 20221208\t2023届高三10班\t0.629\n", + "题号: 007539 , 字段: usages 中已添加数据: 20221208\t2023届高三10班\t0.829\n", + "题号: 007643 , 字段: usages 中已添加数据: 20221208\t2023届高三10班\t0.771\n", + "题号: 004030 , 字段: usages 中已添加数据: 20221208\t2023届高三10班\t0.400\n", + "题号: 002623 , 字段: usages 中已添加数据: 20221208\t2023届高三11班\t0.818\n", + "题号: 003764 , 字段: usages 中已添加数据: 20221208\t2023届高三11班\t0.955\n", + "题号: 007575 , 字段: usages 中已添加数据: 20221208\t2023届高三11班\t0.727\n", + "题号: 007528 , 字段: usages 中已添加数据: 20221208\t2023届高三11班\t0.773\n", + "题号: 030495 , 字段: usages 中已添加数据: 20221208\t2023届高三11班\t0.591\n", + "题号: 007630 , 字段: usages 中已添加数据: 20221208\t2023届高三11班\t0.818\n", + "题号: 004342 , 字段: usages 中已添加数据: 20221208\t2023届高三11班\t0.636\n", + "题号: 007535 , 字段: usages 中已添加数据: 20221208\t2023届高三11班\t0.409\n", + "题号: 007539 , 字段: usages 中已添加数据: 20221208\t2023届高三11班\t0.727\n", + "题号: 007643 , 字段: usages 中已添加数据: 20221208\t2023届高三11班\t0.409\n", + "题号: 004030 , 字段: usages 中已添加数据: 20221208\t2023届高三11班\t0.318\n", + "题号: 002623 , 字段: usages 中已添加数据: 20221208\t2023届高三12班\t0.917\n", + "题号: 003764 , 字段: usages 中已添加数据: 20221208\t2023届高三12班\t1.000\n", + "题号: 007575 , 字段: usages 中已添加数据: 20221208\t2023届高三12班\t0.833\n", + "题号: 007528 , 字段: usages 中已添加数据: 20221208\t2023届高三12班\t0.792\n", + "题号: 030495 , 字段: usages 中已添加数据: 20221208\t2023届高三12班\t0.750\n", + "题号: 007630 , 字段: usages 中已添加数据: 20221208\t2023届高三12班\t0.917\n", + "题号: 004342 , 字段: usages 中已添加数据: 20221208\t2023届高三12班\t0.875\n", + "题号: 007535 , 字段: usages 中已添加数据: 20221208\t2023届高三12班\t0.750\n", + "题号: 007539 , 字段: usages 中已添加数据: 20221208\t2023届高三12班\t0.792\n", + "题号: 007643 , 字段: usages 中已添加数据: 20221208\t2023届高三12班\t0.500\n", + "题号: 004030 , 字段: usages 中已添加数据: 20221208\t2023届高三12班\t0.292\n", + "题号: 002623 , 字段: usages 中已添加数据: 20221208\t2023届高三01班\t0.840\n", + "题号: 003764 , 字段: usages 中已添加数据: 20221208\t2023届高三01班\t1.000\n", + "题号: 007575 , 字段: usages 中已添加数据: 20221208\t2023届高三01班\t1.000\n", + "题号: 007528 , 字段: usages 中已添加数据: 20221208\t2023届高三01班\t0.960\n", + "题号: 030495 , 字段: usages 中已添加数据: 20221208\t2023届高三01班\t0.480\n", + "题号: 007630 , 字段: usages 中已添加数据: 20221208\t2023届高三01班\t0.920\n", + "题号: 004342 , 字段: usages 中已添加数据: 20221208\t2023届高三01班\t0.800\n", + "题号: 007535 , 字段: usages 中已添加数据: 20221208\t2023届高三01班\t0.880\n", + "题号: 007539 , 字段: usages 中已添加数据: 20221208\t2023届高三01班\t0.920\n", + "题号: 007643 , 字段: usages 中已添加数据: 20221208\t2023届高三01班\t0.800\n", + "题号: 004030 , 字段: usages 中已添加数据: 20221208\t2023届高三01班\t0.880\n", + "题号: 002623 , 字段: usages 中已添加数据: 20221208\t2023届高三03班\t0.923\n", + "题号: 003764 , 字段: usages 中已添加数据: 20221208\t2023届高三03班\t1.000\n", + "题号: 007575 , 字段: usages 中已添加数据: 20221208\t2023届高三03班\t0.846\n", + "题号: 007528 , 字段: usages 中已添加数据: 20221208\t2023届高三03班\t0.885\n", + "题号: 030495 , 字段: usages 中已添加数据: 20221208\t2023届高三03班\t0.577\n", + "题号: 007630 , 字段: usages 中已添加数据: 20221208\t2023届高三03班\t0.731\n", + "题号: 004342 , 字段: usages 中已添加数据: 20221208\t2023届高三03班\t0.808\n", + "题号: 007535 , 字段: usages 中已添加数据: 20221208\t2023届高三03班\t0.846\n", + "题号: 007539 , 字段: usages 中已添加数据: 20221208\t2023届高三03班\t0.808\n", + "题号: 007643 , 字段: usages 中已添加数据: 20221208\t2023届高三03班\t0.615\n", + "题号: 004030 , 字段: usages 中已添加数据: 20221208\t2023届高三03班\t0.692\n", + "题号: 002623 , 字段: usages 中已添加数据: 20221208\t2023届高三04班\t0.923\n", + "题号: 003764 , 字段: usages 中已添加数据: 20221208\t2023届高三04班\t1.000\n", + "题号: 007575 , 字段: usages 中已添加数据: 20221208\t2023届高三04班\t0.885\n", + "题号: 007528 , 字段: usages 中已添加数据: 20221208\t2023届高三04班\t0.538\n", + "题号: 030495 , 字段: usages 中已添加数据: 20221208\t2023届高三04班\t0.308\n", + "题号: 007630 , 字段: usages 中已添加数据: 20221208\t2023届高三04班\t0.654\n", + "题号: 004342 , 字段: usages 中已添加数据: 20221208\t2023届高三04班\t0.846\n", + "题号: 007535 , 字段: usages 中已添加数据: 20221208\t2023届高三04班\t0.808\n", + "题号: 007539 , 字段: usages 中已添加数据: 20221208\t2023届高三04班\t0.654\n", + "题号: 007643 , 字段: usages 中已添加数据: 20221208\t2023届高三04班\t0.115\n", + "题号: 004030 , 字段: usages 中已添加数据: 20221208\t2023届高三04班\t0.615\n", + "题号: 002623 , 字段: usages 中已添加数据: 20221208\t2023届高三05班\t0.897\n", + "题号: 003764 , 字段: usages 中已添加数据: 20221208\t2023届高三05班\t0.974\n", + "题号: 007575 , 字段: usages 中已添加数据: 20221208\t2023届高三05班\t0.872\n", + "题号: 007528 , 字段: usages 中已添加数据: 20221208\t2023届高三05班\t0.744\n", + "题号: 030495 , 字段: usages 中已添加数据: 20221208\t2023届高三05班\t0.821\n", + "题号: 007630 , 字段: usages 中已添加数据: 20221208\t2023届高三05班\t0.949\n", + "题号: 004342 , 字段: usages 中已添加数据: 20221208\t2023届高三05班\t0.923\n", + "题号: 007535 , 字段: usages 中已添加数据: 20221208\t2023届高三05班\t0.795\n", + "题号: 007539 , 字段: usages 中已添加数据: 20221208\t2023届高三05班\t0.846\n", + "题号: 007643 , 字段: usages 中已添加数据: 20221208\t2023届高三05班\t0.769\n", + "题号: 004030 , 字段: usages 中已添加数据: 20221208\t2023届高三05班\t0.487\n", + "题号: 002623 , 字段: usages 中已添加数据: 20221208\t2023届高三06班\t0.949\n", + "题号: 003764 , 字段: usages 中已添加数据: 20221208\t2023届高三06班\t1.000\n", + "题号: 007575 , 字段: usages 中已添加数据: 20221208\t2023届高三06班\t0.795\n", + "题号: 007528 , 字段: usages 中已添加数据: 20221208\t2023届高三06班\t0.692\n", + "题号: 030495 , 字段: usages 中已添加数据: 20221208\t2023届高三06班\t0.538\n", + "题号: 007630 , 字段: usages 中已添加数据: 20221208\t2023届高三06班\t0.923\n", + "题号: 004342 , 字段: usages 中已添加数据: 20221208\t2023届高三06班\t0.949\n", + "题号: 007535 , 字段: usages 中已添加数据: 20221208\t2023届高三06班\t0.795\n", + "题号: 007539 , 字段: usages 中已添加数据: 20221208\t2023届高三06班\t0.846\n", + "题号: 007643 , 字段: usages 中已添加数据: 20221208\t2023届高三06班\t0.872\n", + "题号: 004030 , 字段: usages 中已添加数据: 20221208\t2023届高三06班\t0.564\n", + "题号: 002623 , 字段: usages 中已添加数据: 20221208\t2023届高三07班\t0.929\n", + "题号: 003764 , 字段: usages 中已添加数据: 20221208\t2023届高三07班\t0.964\n", + "题号: 007575 , 字段: usages 中已添加数据: 20221208\t2023届高三07班\t0.929\n", + "题号: 007528 , 字段: usages 中已添加数据: 20221208\t2023届高三07班\t0.679\n", + "题号: 030495 , 字段: usages 中已添加数据: 20221208\t2023届高三07班\t0.179\n", + "题号: 007630 , 字段: usages 中已添加数据: 20221208\t2023届高三07班\t0.857\n", + "题号: 004342 , 字段: usages 中已添加数据: 20221208\t2023届高三07班\t0.857\n", + "题号: 007535 , 字段: usages 中已添加数据: 20221208\t2023届高三07班\t0.714\n", + "题号: 007539 , 字段: usages 中已添加数据: 20221208\t2023届高三07班\t0.750\n", + "题号: 007643 , 字段: usages 中已添加数据: 20221208\t2023届高三07班\t0.107\n", + "题号: 004030 , 字段: usages 中已添加数据: 20221208\t2023届高三07班\t0.607\n", + "题号: 002623 , 字段: usages 中已添加数据: 20221208\t2023届高三08班\t0.857\n", + "题号: 003764 , 字段: usages 中已添加数据: 20221208\t2023届高三08班\t1.000\n", + "题号: 007575 , 字段: usages 中已添加数据: 20221208\t2023届高三08班\t0.929\n", + "题号: 007528 , 字段: usages 中已添加数据: 20221208\t2023届高三08班\t0.750\n", + "题号: 030495 , 字段: usages 中已添加数据: 20221208\t2023届高三08班\t0.286\n", + "题号: 007630 , 字段: usages 中已添加数据: 20221208\t2023届高三08班\t0.714\n", + "题号: 004342 , 字段: usages 中已添加数据: 20221208\t2023届高三08班\t0.821\n", + "题号: 007535 , 字段: usages 中已添加数据: 20221208\t2023届高三08班\t0.536\n", + "题号: 007539 , 字段: usages 中已添加数据: 20221208\t2023届高三08班\t0.893\n", + "题号: 007643 , 字段: usages 中已添加数据: 20221208\t2023届高三08班\t0.500\n", + "题号: 004030 , 字段: usages 中已添加数据: 20221208\t2023届高三08班\t0.536\n", + "题号: 002623 , 字段: usages 中已添加数据: 20221208\t2023届高三09班\t0.857\n", + "题号: 003764 , 字段: usages 中已添加数据: 20221208\t2023届高三09班\t0.964\n", + "题号: 007575 , 字段: usages 中已添加数据: 20221208\t2023届高三09班\t0.821\n", + "题号: 007528 , 字段: usages 中已添加数据: 20221208\t2023届高三09班\t0.679\n", + "题号: 030495 , 字段: usages 中已添加数据: 20221208\t2023届高三09班\t0.536\n", + "题号: 007630 , 字段: usages 中已添加数据: 20221208\t2023届高三09班\t0.893\n", + "题号: 004342 , 字段: usages 中已添加数据: 20221208\t2023届高三09班\t0.643\n", + "题号: 007535 , 字段: usages 中已添加数据: 20221208\t2023届高三09班\t0.429\n", + "题号: 007539 , 字段: usages 中已添加数据: 20221208\t2023届高三09班\t0.714\n", + "题号: 007643 , 字段: usages 中已添加数据: 20221208\t2023届高三09班\t0.464\n", + "题号: 004030 , 字段: usages 中已添加数据: 20221208\t2023届高三09班\t0.143\n" ] } ], diff --git a/工具/文本文件/metadata.txt b/工具/文本文件/metadata.txt index ea7b8ff4..f42a380c 100644 --- a/工具/文本文件/metadata.txt +++ b/工具/文本文件/metadata.txt @@ -1,97 +1,365 @@ -ans +usages -003400 -$(4,5)$ +002623 +20221208 2023届高三10班 0.800 -002329 -$\dfrac{y^2}{25}+\dfrac{x^2}{16}=1$或$\dfrac{x^2}{25}+\dfrac{y^2}{9}=1$ +003764 +20221208 2023届高三10班 1.000 -008873 -(1) $\dfrac{x^2}{100}+\dfrac{y^2}{64}=1$; (2) $\dfrac{x^2}{6}+\dfrac{y^2}{4}=1$; (3) $\dfrac{x^2}8+\dfrac{y^2}4=1$或$\dfrac{y^2}8+\dfrac{x^2}4=1$ +007575 +20221208 2023届高三10班 0.800 -002342 -$\sqrt{3}-1$ +007528 +20221208 2023届高三10班 0.714 -010673 -$\dfrac{x^2}{5.9^2}+\dfrac{y^2}{5.8^2}=1$(以$1\times 10^8\text{km}$为单位) +030495 +20221208 2023届高三10班 0.629 -002325 -$2x+4y-3=0$ +007630 +20221208 2023届高三10班 0.971 -004717 -B +004342 +20221208 2023届高三10班 0.943 -002348 -$(-\sqrt{5},0)$或$(\sqrt{5},0)$ +007535 +20221208 2023届高三10班 0.629 -009985 -$6$ +007539 +20221208 2023届高三10班 0.829 -009830 -A +007643 +20221208 2023届高三10班 0.771 -009832 -(1) $\dfrac{x^2}{25}-\dfrac{y^2}{3}=1$; (2) $\dfrac{x^2}{16}-\dfrac{y^2}9=1$ +004030 +20221208 2023届高三10班 0.400 -002372 -$\dfrac{x^2}{64/9}-\dfrac{y^2}4=1$ +002623 +20221208 2023届高三11班 0.818 -003431 -$3$ +003764 +20221208 2023届高三11班 0.955 -008952 -斜率为$2$, 但是判别式小于零, 故直线不存在. +007575 +20221208 2023届高三11班 0.727 -007380 -C +007528 +20221208 2023届高三11班 0.773 -003666 -D +030495 +20221208 2023届高三11班 0.591 -007455 -$120$ +007630 +20221208 2023届高三11班 0.818 -007502 -$20$ +004342 +20221208 2023届高三11班 0.636 -007521 -$2520$ +007535 +20221208 2023届高三11班 0.409 -010861 -$24$ +007539 +20221208 2023届高三11班 0.727 -009333 -$375$ +007643 +20221208 2023届高三11班 0.409 -007673 -$78120$ +004030 +20221208 2023届高三11班 0.318 -002537 -$3720$ +002623 +20221208 2023届高三12班 0.917 -002586 -$45213$, $88$ +003764 +20221208 2023届高三12班 1.000 -007432 -(1) $72$; (2) $72$; (3) $72$ +007575 +20221208 2023届高三12班 0.833 -002563 -$1-\dfrac{1}{(n+1)!}$ +007528 +20221208 2023届高三12班 0.792 -009262 -(1) $6$; (2) $5$; (3) $4$ +030495 +20221208 2023届高三12班 0.750 -007476 -$3$或$6$ +007630 +20221208 2023届高三12班 0.917 -007494 -证明略 +004342 +20221208 2023届高三12班 0.875 -003640 -$\dfrac{27}{100}$ +007535 +20221208 2023届高三12班 0.750 -009351 -$\dfrac{11}{21}$ +007539 +20221208 2023届高三12班 0.792 + +007643 +20221208 2023届高三12班 0.500 + +004030 +20221208 2023届高三12班 0.292 + +002623 +20221208 2023届高三01班 0.840 + +003764 +20221208 2023届高三01班 1.000 + +007575 +20221208 2023届高三01班 1.000 + +007528 +20221208 2023届高三01班 0.960 + +030495 +20221208 2023届高三01班 0.480 + +007630 +20221208 2023届高三01班 0.920 + +004342 +20221208 2023届高三01班 0.800 + +007535 +20221208 2023届高三01班 0.880 + +007539 +20221208 2023届高三01班 0.920 + +007643 +20221208 2023届高三01班 0.800 + +004030 +20221208 2023届高三01班 0.880 + +002623 +20221208 2023届高三03班 0.923 + +003764 +20221208 2023届高三03班 1.000 + +007575 +20221208 2023届高三03班 0.846 + +007528 +20221208 2023届高三03班 0.885 + +030495 +20221208 2023届高三03班 0.577 + +007630 +20221208 2023届高三03班 0.731 + +004342 +20221208 2023届高三03班 0.808 + +007535 +20221208 2023届高三03班 0.846 + +007539 +20221208 2023届高三03班 0.808 + +007643 +20221208 2023届高三03班 0.615 + +004030 +20221208 2023届高三03班 0.692 + +002623 +20221208 2023届高三04班 0.923 + +003764 +20221208 2023届高三04班 1.000 + +007575 +20221208 2023届高三04班 0.885 + +007528 +20221208 2023届高三04班 0.538 + +030495 +20221208 2023届高三04班 0.308 + +007630 +20221208 2023届高三04班 0.654 + +004342 +20221208 2023届高三04班 0.846 + +007535 +20221208 2023届高三04班 0.808 + +007539 +20221208 2023届高三04班 0.654 + +007643 +20221208 2023届高三04班 0.115 + +004030 +20221208 2023届高三04班 0.615 + +002623 +20221208 2023届高三05班 0.897 + +003764 +20221208 2023届高三05班 0.974 + +007575 +20221208 2023届高三05班 0.872 + +007528 +20221208 2023届高三05班 0.744 + +030495 +20221208 2023届高三05班 0.821 + +007630 +20221208 2023届高三05班 0.949 + +004342 +20221208 2023届高三05班 0.923 + +007535 +20221208 2023届高三05班 0.795 + +007539 +20221208 2023届高三05班 0.846 + +007643 +20221208 2023届高三05班 0.769 + +004030 +20221208 2023届高三05班 0.487 + +002623 +20221208 2023届高三06班 0.949 + +003764 +20221208 2023届高三06班 1.000 + +007575 +20221208 2023届高三06班 0.795 + +007528 +20221208 2023届高三06班 0.692 + +030495 +20221208 2023届高三06班 0.538 + +007630 +20221208 2023届高三06班 0.923 + +004342 +20221208 2023届高三06班 0.949 + +007535 +20221208 2023届高三06班 0.795 + +007539 +20221208 2023届高三06班 0.846 + +007643 +20221208 2023届高三06班 0.872 + +004030 +20221208 2023届高三06班 0.564 + +002623 +20221208 2023届高三07班 0.929 + +003764 +20221208 2023届高三07班 0.964 + +007575 +20221208 2023届高三07班 0.929 + +007528 +20221208 2023届高三07班 0.679 + +030495 +20221208 2023届高三07班 0.179 + +007630 +20221208 2023届高三07班 0.857 + +004342 +20221208 2023届高三07班 0.857 + +007535 +20221208 2023届高三07班 0.714 + +007539 +20221208 2023届高三07班 0.750 + +007643 +20221208 2023届高三07班 0.107 + +004030 +20221208 2023届高三07班 0.607 + +002623 +20221208 2023届高三08班 0.857 + +003764 +20221208 2023届高三08班 1.000 + +007575 +20221208 2023届高三08班 0.929 + +007528 +20221208 2023届高三08班 0.750 + +030495 +20221208 2023届高三08班 0.286 + +007630 +20221208 2023届高三08班 0.714 + +004342 +20221208 2023届高三08班 0.821 + +007535 +20221208 2023届高三08班 0.536 + +007539 +20221208 2023届高三08班 0.893 + +007643 +20221208 2023届高三08班 0.500 + +004030 +20221208 2023届高三08班 0.536 + +002623 +20221208 2023届高三09班 0.857 + +003764 +20221208 2023届高三09班 0.964 + +007575 +20221208 2023届高三09班 0.821 + +007528 +20221208 2023届高三09班 0.679 + +030495 +20221208 2023届高三09班 0.536 + +007630 +20221208 2023届高三09班 0.893 + +004342 +20221208 2023届高三09班 0.643 + +007535 +20221208 2023届高三09班 0.429 + +007539 +20221208 2023届高三09班 0.714 + +007643 +20221208 2023届高三09班 0.464 + +004030 +20221208 2023届高三09班 0.143 -003574 -$0.985$ diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 180b344d..f62f4857 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -24950,7 +24950,19 @@ "solution": "", "duration": -1, "usages": [ - "20220607\t2022届高三01班\t0.767" + "20220607\t2022届高三01班\t0.767", + "20221208\t2023届高三10班\t0.946", + "20221208\t2023届高三11班\t0.905", + "20221208\t2023届高三12班\t0.900", + "20221208\t2023届高三01班\t0.933", + "20221208\t2023届高三02班\t0.833", + "20221208\t2023届高三03班\t0.808", + "20221208\t2023届高三04班\t0.963", + "20221208\t2023届高三05班\t0.923", + "20221208\t2023届高三06班\t0.972", + "20221208\t2023届高三07班\t0.920", + "20221208\t2023届高三08班\t0.926", + "20221208\t2023届高三09班\t0.840" ], "origin": "赋能练习", "edit": [ @@ -64048,7 +64060,20 @@ "ans": "$2x+4y-3=0$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221208\t2023届高三10班\t0.730", + "20221208\t2023届高三11班\t0.714", + "20221208\t2023届高三12班\t0.850", + "20221208\t2023届高三01班\t0.733", + "20221208\t2023届高三02班\t0.833", + "20221208\t2023届高三03班\t0.808", + "20221208\t2023届高三04班\t0.259", + "20221208\t2023届高三05班\t0.795", + "20221208\t2023届高三06班\t0.833", + "20221208\t2023届高三07班\t0.200", + "20221208\t2023届高三08班\t0.778", + "20221208\t2023届高三09班\t0.720" + ], "origin": "2016届创新班作业\t3161-椭圆[2]", "edit": [ "20220625\t王伟叶" @@ -64145,7 +64170,20 @@ "ans": "$\\dfrac{y^2}{25}+\\dfrac{x^2}{16}=1$或$\\dfrac{x^2}{25}+\\dfrac{y^2}{9}=1$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221208\t2023届高三10班\t0.892", + "20221208\t2023届高三11班\t0.857", + "20221208\t2023届高三12班\t0.800", + "20221208\t2023届高三01班\t0.833", + "20221208\t2023届高三02班\t0.667", + "20221208\t2023届高三03班\t0.923", + "20221208\t2023届高三04班\t0.815", + "20221208\t2023届高三05班\t0.821", + "20221208\t2023届高三06班\t0.944", + "20221208\t2023届高三07班\t0.760", + "20221208\t2023届高三08班\t0.852", + "20221208\t2023届高三09班\t0.680" + ], "origin": "2016届创新班作业\t3162-椭圆[3]", "edit": [ "20220625\t王伟叶" @@ -64457,7 +64495,20 @@ "ans": "$\\sqrt{3}-1$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221208\t2023届高三10班\t0.811", + "20221208\t2023届高三11班\t0.667", + "20221208\t2023届高三12班\t0.850", + "20221208\t2023届高三01班\t0.833", + "20221208\t2023届高三02班\t0.700", + "20221208\t2023届高三03班\t0.846", + "20221208\t2023届高三04班\t0.852", + "20221208\t2023届高三05班\t0.897", + "20221208\t2023届高三06班\t0.917", + "20221208\t2023届高三07班\t0.880", + "20221208\t2023届高三08班\t0.815", + "20221208\t2023届高三09班\t0.680" + ], "origin": "2016届创新班作业\t3163-椭圆[4]", "edit": [ "20220625\t王伟叶" @@ -64602,7 +64653,20 @@ "ans": "$(-\\sqrt{5},0)$或$(\\sqrt{5},0)$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221208\t2023届高三10班\t0.919", + "20221208\t2023届高三11班\t1.000", + "20221208\t2023届高三12班\t0.950", + "20221208\t2023届高三01班\t0.967", + "20221208\t2023届高三02班\t0.833", + "20221208\t2023届高三03班\t0.885", + "20221208\t2023届高三04班\t0.963", + "20221208\t2023届高三05班\t0.692", + "20221208\t2023届高三06班\t0.917", + "20221208\t2023届高三07班\t0.920", + "20221208\t2023届高三08班\t0.963", + "20221208\t2023届高三09班\t0.920" + ], "origin": "2016届创新班作业\t3164-双曲线[1]", "edit": [ "20220625\t王伟叶" @@ -65193,7 +65257,20 @@ "ans": "$\\dfrac{x^2}{64/9}-\\dfrac{y^2}4=1$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221208\t2023届高三10班\t0.757", + "20221208\t2023届高三11班\t0.524", + "20221208\t2023届高三12班\t0.650", + "20221208\t2023届高三01班\t0.867", + "20221208\t2023届高三02班\t0.700", + "20221208\t2023届高三03班\t0.808", + "20221208\t2023届高三04班\t0.741", + "20221208\t2023届高三05班\t0.872", + "20221208\t2023届高三06班\t0.750", + "20221208\t2023届高三07班\t0.720", + "20221208\t2023届高三08班\t0.852", + "20221208\t2023届高三09班\t0.680" + ], "origin": "2016届创新班作业\t3166-双曲线[3]", "edit": [ "20220625\t王伟叶" @@ -69803,7 +69880,19 @@ "duration": -1, "usages": [ "2016届11班\t1.000", - "2016届12班\t0.974" + "2016届12班\t0.974", + "20221208\t2023届高三10班\t0.941", + "20221208\t2023届高三11班\t0.750", + "20221208\t2023届高三12班\t0.870", + "20221208\t2023届高三01班\t0.966", + "20221208\t2023届高三02班\t0.967", + "20221208\t2023届高三03班\t1.000", + "20221208\t2023届高三04班\t0.926", + "20221208\t2023届高三05班\t0.842", + "20221208\t2023届高三06班\t0.974", + "20221208\t2023届高三07班\t0.769", + "20221208\t2023届高三08班\t0.933", + "20221208\t2023届高三09班\t0.933" ], "origin": "2016届创新班作业\t4114-排列与排列数", "edit": [ @@ -71188,7 +71277,19 @@ "duration": -1, "usages": [ "2016届11班\t0.974", - "2016届12班\t0.974" + "2016届12班\t0.974", + "20221208\t2023届高三10班\t0.765", + "20221208\t2023届高三11班\t0.750", + "20221208\t2023届高三12班\t0.826", + "20221208\t2023届高三01班\t0.897", + "20221208\t2023届高三02班\t0.500", + "20221208\t2023届高三03班\t0.962", + "20221208\t2023届高三04班\t0.852", + "20221208\t2023届高三05班\t0.842", + "20221208\t2023届高三06班\t0.868", + "20221208\t2023届高三07班\t0.769", + "20221208\t2023届高三08班\t0.967", + "20221208\t2023届高三09班\t0.767" ], "origin": "2016届创新班作业\t4117-计数问题实例", "edit": [ @@ -71266,7 +71367,19 @@ "duration": -1, "usages": [ "2016届11班\t0.744", - "2016届12班\t0.816" + "2016届12班\t0.816", + "20221208\t2023届高三10班\t0.853", + "20221208\t2023届高三11班\t0.550", + "20221208\t2023届高三12班\t0.826", + "20221208\t2023届高三01班\t0.759", + "20221208\t2023届高三02班\t0.667", + "20221208\t2023届高三03班\t0.577", + "20221208\t2023届高三04班\t0.704", + "20221208\t2023届高三05班\t0.842", + "20221208\t2023届高三06班\t0.684", + "20221208\t2023届高三07班\t0.769", + "20221208\t2023届高三08班\t0.800", + "20221208\t2023届高三09班\t0.733" ], "origin": "2016届创新班作业\t4117-计数问题实例", "edit": [ @@ -71753,7 +71866,19 @@ "duration": -1, "usages": [ "2016届11班\t0.949", - "2016届12班\t0.892" + "2016届12班\t0.892", + "20221208\t2023届高三02班\t0.839", + "20221208\t2023届高三10班\t0.800", + "20221208\t2023届高三11班\t0.818", + "20221208\t2023届高三12班\t0.917", + "20221208\t2023届高三01班\t0.840", + "20221208\t2023届高三03班\t0.923", + "20221208\t2023届高三04班\t0.923", + "20221208\t2023届高三05班\t0.897", + "20221208\t2023届高三06班\t0.949", + "20221208\t2023届高三07班\t0.929", + "20221208\t2023届高三08班\t0.857", + "20221208\t2023届高三09班\t0.857" ], "origin": "2016届创新班作业\t4119-二项式定理[2]", "edit": [ @@ -91698,7 +91823,20 @@ "ans": "$(4,5)$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221208\t2023届高三10班\t0.946", + "20221208\t2023届高三11班\t0.809", + "20221208\t2023届高三12班\t1.000", + "20221208\t2023届高三01班\t0.900", + "20221208\t2023届高三02班\t0.800", + "20221208\t2023届高三03班\t0.846", + "20221208\t2023届高三04班\t0.704", + "20221208\t2023届高三05班\t0.769", + "20221208\t2023届高三06班\t0.861", + "20221208\t2023届高三07班\t0.840", + "20221208\t2023届高三08班\t0.852", + "20221208\t2023届高三09班\t1.000" + ], "origin": "2022届高三第一轮复习讲义", "edit": [ "20220701\t王伟叶" @@ -92458,7 +92596,20 @@ "ans": "$3$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221208\t2023届高三10班\t0.649", + "20221208\t2023届高三11班\t0.524", + "20221208\t2023届高三12班\t0.900", + "20221208\t2023届高三01班\t0.767", + "20221208\t2023届高三02班\t0.733", + "20221208\t2023届高三03班\t0.769", + "20221208\t2023届高三04班\t0.704", + "20221208\t2023届高三05班\t0.615", + "20221208\t2023届高三06班\t0.722", + "20221208\t2023届高三07班\t0.720", + "20221208\t2023届高三08班\t0.667", + "20221208\t2023届高三09班\t0.720" + ], "origin": "2022届高三第一轮复习讲义", "edit": [ "20220701\t王伟叶" @@ -95925,7 +96076,20 @@ "ans": "$\\mathrm{P}_{34-m}^8$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221208\t2023届高三10班\t0.882", + "20221208\t2023届高三11班\t0.700", + "20221208\t2023届高三12班\t0.913", + "20221208\t2023届高三01班\t1.000", + "20221208\t2023届高三02班\t0.667", + "20221208\t2023届高三03班\t0.846", + "20221208\t2023届高三04班\t0.741", + "20221208\t2023届高三05班\t0.868", + "20221208\t2023届高三06班\t0.842", + "20221208\t2023届高三07班\t0.769", + "20221208\t2023届高三08班\t0.733", + "20221208\t2023届高三09班\t0.767" + ], "origin": "2022届高三第一轮复习讲义", "edit": [ "20220701\t王伟叶" @@ -96245,7 +96409,20 @@ "ans": "$407$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221208\t2023届高三10班\t0.765", + "20221208\t2023届高三11班\t0.300", + "20221208\t2023届高三12班\t0.565", + "20221208\t2023届高三01班\t0.621", + "20221208\t2023届高三02班\t0.500", + "20221208\t2023届高三03班\t0.500", + "20221208\t2023届高三04班\t0.296", + "20221208\t2023届高三05班\t0.474", + "20221208\t2023届高三06班\t0.500", + "20221208\t2023届高三07班\t0.462", + "20221208\t2023届高三08班\t0.633", + "20221208\t2023届高三09班\t0.600" + ], "origin": "2022届高三第一轮复习讲义", "edit": [ "20220701\t王伟叶" @@ -100787,7 +100964,20 @@ "ans": "$-2$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221208\t2023届高三02班\t0.935", + "20221208\t2023届高三10班\t1.000", + "20221208\t2023届高三11班\t0.955", + "20221208\t2023届高三12班\t1.000", + "20221208\t2023届高三01班\t1.000", + "20221208\t2023届高三03班\t1.000", + "20221208\t2023届高三04班\t1.000", + "20221208\t2023届高三05班\t0.974", + "20221208\t2023届高三06班\t1.000", + "20221208\t2023届高三07班\t0.964", + "20221208\t2023届高三08班\t1.000", + "20221208\t2023届高三09班\t0.964" + ], "origin": "2016年双基百分百", "edit": [ "20220701\t王伟叶" @@ -107025,7 +107215,20 @@ "ans": "证明略", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221208\t2023届高三02班\t0.581", + "20221208\t2023届高三10班\t0.400", + "20221208\t2023届高三11班\t0.318", + "20221208\t2023届高三12班\t0.292", + "20221208\t2023届高三01班\t0.880", + "20221208\t2023届高三03班\t0.692", + "20221208\t2023届高三04班\t0.615", + "20221208\t2023届高三05班\t0.487", + "20221208\t2023届高三06班\t0.564", + "20221208\t2023届高三07班\t0.607", + "20221208\t2023届高三08班\t0.536", + "20221208\t2023届高三09班\t0.143" + ], "origin": "教材复习题", "edit": [ "20220703\t王伟叶" @@ -107879,7 +108082,19 @@ "solution": "", "duration": -1, "usages": [ - "20220301\t2022届高三01班\t0.860" + "20220301\t2022届高三01班\t0.860", + "20221208\t2023届高三10班\t0.946", + "20221208\t2023届高三11班\t0.952", + "20221208\t2023届高三12班\t0.850", + "20221208\t2023届高三01班\t1.000", + "20221208\t2023届高三02班\t0.967", + "20221208\t2023届高三03班\t0.846", + "20221208\t2023届高三04班\t0.667", + "20221208\t2023届高三05班\t0.897", + "20221208\t2023届高三06班\t0.972", + "20221208\t2023届高三07班\t0.720", + "20221208\t2023届高三08班\t0.889", + "20221208\t2023届高三09班\t0.960" ], "origin": "2022届高三下学期测验卷01第6题", "edit": [ @@ -115385,7 +115600,19 @@ "solution": "", "duration": -1, "usages": [ - "20220630\t2022届高三01班\t0.953" + "20220630\t2022届高三01班\t0.953", + "20221208\t2023届高三02班\t0.935", + "20221208\t2023届高三10班\t0.943", + "20221208\t2023届高三11班\t0.636", + "20221208\t2023届高三12班\t0.875", + "20221208\t2023届高三01班\t0.800", + "20221208\t2023届高三03班\t0.808", + "20221208\t2023届高三04班\t0.846", + "20221208\t2023届高三05班\t0.923", + "20221208\t2023届高三06班\t0.949", + "20221208\t2023届高三07班\t0.857", + "20221208\t2023届高三08班\t0.821", + "20221208\t2023届高三09班\t0.643" ], "origin": "2022届高三下学期测验卷14第11题", "edit": [ @@ -125710,7 +125937,19 @@ "solution": "", "duration": -1, "usages": [ - "20220414\t2022届高三\t0.946" + "20220414\t2022届高三\t0.946", + "20221208\t2023届高三10班\t0.946", + "20221208\t2023届高三11班\t0.714", + "20221208\t2023届高三12班\t0.850", + "20221208\t2023届高三01班\t0.967", + "20221208\t2023届高三02班\t0.933", + "20221208\t2023届高三03班\t0.923", + "20221208\t2023届高三04班\t0.852", + "20221208\t2023届高三05班\t0.872", + "20221208\t2023届高三06班\t0.972", + "20221208\t2023届高三07班\t0.800", + "20221208\t2023届高三08班\t0.815", + "20221208\t2023届高三09班\t0.800" ], "origin": "2022届高三下期中区统考第15题", "edit": [ @@ -186970,7 +187209,20 @@ "ans": "$36$", "solution": "设$4$件奖品为$a$, $b$, $c$, $d$, 显然, 要将它们分成$2, 1, 1$三组, 因此第一步是组合, 得$\\mathrm{C}_4^2$; 我们假定$\\{a,b\\}\\{c\\}\\{d\\}$ 是一种组合, 再让它们坐到甲、乙、丙三个位置上去, 因此第二步是排列, 得$\\mathrm{P}_3^3$.\n所以不同的奖励法共有$N=\\mathrm{C}_4^2\\mathrm{P}_3^3=36$(种).", "duration": -1, - "usages": [], + "usages": [ + "20221208\t2023届高三10班\t0.706", + "20221208\t2023届高三11班\t0.550", + "20221208\t2023届高三12班\t0.739", + "20221208\t2023届高三01班\t0.931", + "20221208\t2023届高三02班\t0.600", + "20221208\t2023届高三03班\t0.769", + "20221208\t2023届高三04班\t0.963", + "20221208\t2023届高三05班\t0.895", + "20221208\t2023届高三06班\t0.842", + "20221208\t2023届高三07班\t0.885", + "20221208\t2023届高三08班\t0.833", + "20221208\t2023届高三09班\t0.833" + ], "origin": "代数精编第九章排列组合", "edit": [ "20220720\t王伟叶" @@ -187082,7 +187334,20 @@ "ans": "B", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221208\t2023届高三10班\t0.500", + "20221208\t2023届高三11班\t0.500", + "20221208\t2023届高三12班\t0.435", + "20221208\t2023届高三01班\t0.724", + "20221208\t2023届高三02班\t0.867", + "20221208\t2023届高三03班\t0.615", + "20221208\t2023届高三04班\t0.667", + "20221208\t2023届高三05班\t0.711", + "20221208\t2023届高三06班\t0.579", + "20221208\t2023届高三07班\t0.500", + "20221208\t2023届高三08班\t0.500", + "20221208\t2023届高三09班\t0.500" + ], "origin": "代数精编第九章排列组合", "edit": [ "20220720\t王伟叶" @@ -187126,7 +187391,20 @@ "ans": "A", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221208\t2023届高三10班\t0.941", + "20221208\t2023届高三11班\t0.950", + "20221208\t2023届高三12班\t0.870", + "20221208\t2023届高三01班\t0.966", + "20221208\t2023届高三02班\t1.000", + "20221208\t2023届高三03班\t1.000", + "20221208\t2023届高三04班\t0.926", + "20221208\t2023届高三05班\t0.921", + "20221208\t2023届高三06班\t1.000", + "20221208\t2023届高三07班\t0.692", + "20221208\t2023届高三08班\t0.900", + "20221208\t2023届高三09班\t0.967" + ], "origin": "代数精编第九章排列组合", "edit": [ "20220720\t王伟叶" @@ -187192,7 +187470,20 @@ "ans": "$63$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221208\t2023届高三10班\t0.882", + "20221208\t2023届高三11班\t0.700", + "20221208\t2023届高三12班\t0.696", + "20221208\t2023届高三01班\t0.724", + "20221208\t2023届高三02班\t0.933", + "20221208\t2023届高三03班\t0.731", + "20221208\t2023届高三04班\t0.741", + "20221208\t2023届高三05班\t0.737", + "20221208\t2023届高三06班\t0.684", + "20221208\t2023届高三07班\t0.692", + "20221208\t2023届高三08班\t0.900", + "20221208\t2023届高三09班\t0.733" + ], "origin": "代数精编第九章排列组合", "edit": [ "20220720\t王伟叶" @@ -187302,7 +187593,20 @@ "ans": "$13$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221208\t2023届高三10班\t1.000", + "20221208\t2023届高三11班\t0.950", + "20221208\t2023届高三12班\t0.957", + "20221208\t2023届高三01班\t1.000", + "20221208\t2023届高三02班\t0.900", + "20221208\t2023届高三03班\t0.962", + "20221208\t2023届高三04班\t0.852", + "20221208\t2023届高三05班\t0.868", + "20221208\t2023届高三06班\t0.947", + "20221208\t2023届高三07班\t0.846", + "20221208\t2023届高三08班\t0.933", + "20221208\t2023届高三09班\t0.767" + ], "origin": "代数精编第九章排列组合", "edit": [ "20220720\t王伟叶" @@ -188356,7 +188660,20 @@ "ans": "(1) $37440$; (2) $4320$; (3) $14400$; (4) $6720$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221208\t2023届高三10班\t0.706\t0.941\t0.794\t0.824", + "20221208\t2023届高三11班\t0.800\t1.000\t0.850\t0.800", + "20221208\t2023届高三12班\t0.652\t1.000\t0.826\t0.696", + "20221208\t2023届高三01班\t0.793\t1.000\t0.897\t1.000", + "20221208\t2023届高三02班\t0.533\t0.933\t0.633\t0.667", + "20221208\t2023届高三03班\t0.731\t1.000\t0.808\t0.885", + "20221208\t2023届高三04班\t0.778\t0.963\t0.741\t0.741", + "20221208\t2023届高三05班\t0.816\t1.000\t0.763\t0.789", + "20221208\t2023届高三06班\t0.737\t1.000\t0.658\t0.842", + "20221208\t2023届高三07班\t0.692\t0.885\t0.692\t0.577", + "20221208\t2023届高三08班\t0.700\t0.900\t0.600\t0.700", + "20221208\t2023届高三09班\t0.800\t1.000\t0.733\t0.600" + ], "origin": "代数精编第九章排列组合", "edit": [ "20220720\t王伟叶" @@ -188887,7 +189204,20 @@ "ans": "$0$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221208\t2023届高三10班\t0.941", + "20221208\t2023届高三11班\t0.900", + "20221208\t2023届高三12班\t0.870", + "20221208\t2023届高三01班\t0.966", + "20221208\t2023届高三02班\t0.867", + "20221208\t2023届高三03班\t1.000", + "20221208\t2023届高三04班\t0.926", + "20221208\t2023届高三05班\t0.921", + "20221208\t2023届高三06班\t0.868", + "20221208\t2023届高三07班\t0.885", + "20221208\t2023届高三08班\t0.867", + "20221208\t2023届高三09班\t0.867" + ], "origin": "代数精编第九章排列组合", "edit": [ "20220720\t王伟叶" @@ -188960,7 +189290,20 @@ "ans": "$5985$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221208\t2023届高三10班\t0.882", + "20221208\t2023届高三11班\t0.650", + "20221208\t2023届高三12班\t0.739", + "20221208\t2023届高三01班\t0.931", + "20221208\t2023届高三02班\t0.900", + "20221208\t2023届高三03班\t0.808", + "20221208\t2023届高三04班\t0.630", + "20221208\t2023届高三05班\t0.842", + "20221208\t2023届高三06班\t0.789", + "20221208\t2023届高三07班\t0.923", + "20221208\t2023届高三08班\t0.867", + "20221208\t2023届高三09班\t0.867" + ], "origin": "代数精编第九章排列组合", "edit": [ "20220720\t王伟叶" @@ -190236,7 +190579,20 @@ "ans": "$120$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221208\t2023届高三10班\t0.706", + "20221208\t2023届高三11班\t0.550", + "20221208\t2023届高三12班\t0.696", + "20221208\t2023届高三01班\t0.862", + "20221208\t2023届高三02班\t0.700", + "20221208\t2023届高三03班\t0.692", + "20221208\t2023届高三04班\t0.444", + "20221208\t2023届高三05班\t0.632", + "20221208\t2023届高三06班\t0.553", + "20221208\t2023届高三07班\t0.692", + "20221208\t2023届高三08班\t0.633", + "20221208\t2023届高三09班\t0.633" + ], "origin": "代数精编第九章排列组合", "edit": [ "20220720\t王伟叶" @@ -190742,7 +191098,20 @@ "ans": "有$17$项是有理项", "solution": "考虑$(x^{\\frac 12}+x^{-\\frac 13})^{100}$展开式的通项$T_{r+1}=\\mathrm{C}_{100}^rx^{\\frac{100-r}2}\\cdot (x^{-\\frac 13})^r=\\mathrm{C}_{100}^rx^{50-\\dfrac{3r}6}$.\n令$r=6k$($k\\in \\mathbf{Z}$), 则$0\\le 6k\\le 100$, 即$r=0,6,12,\\cdots ,96$.\n因此共有$17$个有理项.", "duration": -1, - "usages": [], + "usages": [ + "20221208\t2023届高三02班\t0.742", + "20221208\t2023届高三10班\t0.714", + "20221208\t2023届高三11班\t0.773", + "20221208\t2023届高三12班\t0.792", + "20221208\t2023届高三01班\t0.960", + "20221208\t2023届高三03班\t0.885", + "20221208\t2023届高三04班\t0.538", + "20221208\t2023届高三05班\t0.744", + "20221208\t2023届高三06班\t0.692", + "20221208\t2023届高三07班\t0.679", + "20221208\t2023届高三08班\t0.750", + "20221208\t2023届高三09班\t0.679" + ], "origin": "代数精编第九章排列组合", "edit": [ "20220720\t王伟叶" @@ -190916,7 +191285,20 @@ "ans": "证明略", "solution": "记$S_n=0\\mathrm{C}_n^0+1\\cdot \\mathrm{C}_n^1+2\\mathrm{C}_n^2+3\\mathrm{C}_n^3+\\cdots +(n-1)\\mathrm{C}_n^{n-1}+n\\mathrm{C}_n^n$,\n又$S_n=n\\mathrm{C}_n^n+(n-1)\\mathrm{C}_n^{n-1}+\\cdots +1\\cdot \\mathrm{C}_n^1+0\\mathrm{C}_n^0$,\n两式相加, 并利用$\\mathrm{C}_n^m=\\mathrm{C}_n^{n-m}$, 得$2S_n=n(\\mathrm{C}_n^0+\\mathrm{C}_n^1+\\mathrm{C}_n^2+\\cdots +\\mathrm{C}_n^n)=n\\cdot 2^n$,\n所以$S_n=n\\cdot 2^{n-1}$($n\\in \\mathbf{N}$).", "duration": -1, - "usages": [], + "usages": [ + "20221208\t2023届高三02班\t0.710", + "20221208\t2023届高三10班\t0.629", + "20221208\t2023届高三11班\t0.409", + "20221208\t2023届高三12班\t0.750", + "20221208\t2023届高三01班\t0.880", + "20221208\t2023届高三03班\t0.846", + "20221208\t2023届高三04班\t0.808", + "20221208\t2023届高三05班\t0.795", + "20221208\t2023届高三06班\t0.795", + "20221208\t2023届高三07班\t0.714", + "20221208\t2023届高三08班\t0.536", + "20221208\t2023届高三09班\t0.429" + ], "origin": "代数精编第九章排列组合", "edit": [ "20220720\t王伟叶" @@ -191014,7 +191396,20 @@ "ans": "余数为$8$", "solution": "因为$53^{53}=(54-1)^{53}$\n\\blank{50}$=54^{53}-\\mathrm{C}_{53}^1\\cdot 54^{52}+\\mathrm{C}_{53}^2\\cdot 54^{51}-\\mathrm{C}_{53}^3\\cdot 54^{50}+\\cdots +\\mathrm{C}_{53}^{52}\\cdot 54-1$\n\\blank{50}$=9A-1=9A-9+8=9B+8$($A,B\\in \\mathbf{Z}$),\n所以所求余数为8.", "duration": -1, - "usages": [], + "usages": [ + "20221208\t2023届高三02班\t0.774", + "20221208\t2023届高三10班\t0.829", + "20221208\t2023届高三11班\t0.727", + "20221208\t2023届高三12班\t0.792", + "20221208\t2023届高三01班\t0.920", + "20221208\t2023届高三03班\t0.808", + "20221208\t2023届高三04班\t0.654", + "20221208\t2023届高三05班\t0.846", + "20221208\t2023届高三06班\t0.846", + "20221208\t2023届高三07班\t0.750", + "20221208\t2023届高三08班\t0.893", + "20221208\t2023届高三09班\t0.714" + ], "origin": "代数精编第九章排列组合", "edit": [ "20220720\t王伟叶" @@ -191891,7 +192286,20 @@ "ans": "D", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221208\t2023届高三02班\t0.839", + "20221208\t2023届高三10班\t0.800", + "20221208\t2023届高三11班\t0.727", + "20221208\t2023届高三12班\t0.833", + "20221208\t2023届高三01班\t1.000", + "20221208\t2023届高三03班\t0.846", + "20221208\t2023届高三04班\t0.885", + "20221208\t2023届高三05班\t0.872", + "20221208\t2023届高三06班\t0.795", + "20221208\t2023届高三07班\t0.929", + "20221208\t2023届高三08班\t0.929", + "20221208\t2023届高三09班\t0.821" + ], "origin": "代数精编第九章排列组合", "edit": [ "20220720\t王伟叶" @@ -193230,7 +193638,20 @@ "ans": "0", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221208\t2023届高三02班\t0.742", + "20221208\t2023届高三10班\t0.971", + "20221208\t2023届高三11班\t0.818", + "20221208\t2023届高三12班\t0.917", + "20221208\t2023届高三01班\t0.920", + "20221208\t2023届高三03班\t0.731", + "20221208\t2023届高三04班\t0.654", + "20221208\t2023届高三05班\t0.949", + "20221208\t2023届高三06班\t0.923", + "20221208\t2023届高三07班\t0.857", + "20221208\t2023届高三08班\t0.714", + "20221208\t2023届高三09班\t0.893" + ], "origin": "代数精编第九章排列组合", "edit": [ "20220720\t王伟叶", @@ -193543,7 +193964,20 @@ "ans": "$a$的最小正值为$4$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221208\t2023届高三02班\t0.677", + "20221208\t2023届高三10班\t0.771", + "20221208\t2023届高三11班\t0.409", + "20221208\t2023届高三12班\t0.500", + "20221208\t2023届高三01班\t0.800", + "20221208\t2023届高三03班\t0.615", + "20221208\t2023届高三04班\t0.115", + "20221208\t2023届高三05班\t0.769", + "20221208\t2023届高三06班\t0.872", + "20221208\t2023届高三07班\t0.107", + "20221208\t2023届高三08班\t0.500", + "20221208\t2023届高三09班\t0.464" + ], "origin": "代数精编第九章排列组合", "edit": [ "20220720\t王伟叶" @@ -222792,7 +223226,20 @@ "ans": "(1) $\\dfrac{x^2}{100}+\\dfrac{y^2}{64}=1$; (2) $\\dfrac{x^2}{6}+\\dfrac{y^2}{4}=1$; (3) $\\dfrac{x^2}8+\\dfrac{y^2}4=1$或$\\dfrac{y^2}8+\\dfrac{x^2}4=1$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221208\t2023届高三10班\t0.946\t0.946\t0.892", + "20221208\t2023届高三11班\t0.952\t0.762\t0.619", + "20221208\t2023届高三12班\t0.950\t0.700\t0.800", + "20221208\t2023届高三01班\t0.967\t0.900\t0.867", + "20221208\t2023届高三02班\t0.900\t0.867\t0.767", + "20221208\t2023届高三03班\t0.923\t1.000\t0.692", + "20221208\t2023届高三04班\t0.926\t0.963\t0.778", + "20221208\t2023届高三05班\t0.923\t0.846\t0.692", + "20221208\t2023届高三06班\t0.889\t0.972\t0.806", + "20221208\t2023届高三07班\t0.960\t0.960\t0.680", + "20221208\t2023届高三08班\t0.852\t0.889\t0.815", + "20221208\t2023届高三09班\t0.960\t0.880\t0.680" + ], "origin": "二期课改练习册高二第二学期", "edit": [ "20220726\t王伟叶" @@ -224818,7 +225265,20 @@ "ans": "斜率为$2$, 但是判别式小于零, 故直线不存在.", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221208\t2023届高三10班\t0.351", + "20221208\t2023届高三11班\t0.381", + "20221208\t2023届高三12班\t0.500", + "20221208\t2023届高三01班\t0.833", + "20221208\t2023届高三02班\t0.567", + "20221208\t2023届高三03班\t0.577", + "20221208\t2023届高三04班\t0.444", + "20221208\t2023届高三05班\t0.692", + "20221208\t2023届高三06班\t0.611", + "20221208\t2023届高三07班\t0.520", + "20221208\t2023届高三08班\t0.370", + "20221208\t2023届高三09班\t0.400" + ], "origin": "二期课改练习册高二第二学期", "edit": [ "20220726\t王伟叶" @@ -231595,7 +232055,20 @@ "ans": "$100$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221208\t2023届高三10班\t0.941", + "20221208\t2023届高三11班\t1.000", + "20221208\t2023届高三12班\t1.000", + "20221208\t2023届高三01班\t0.931", + "20221208\t2023届高三02班\t1.000", + "20221208\t2023届高三03班\t0.962", + "20221208\t2023届高三04班\t1.000", + "20221208\t2023届高三05班\t0.947", + "20221208\t2023届高三06班\t0.868", + "20221208\t2023届高三07班\t0.923", + "20221208\t2023届高三08班\t0.933", + "20221208\t2023届高三09班\t0.967" + ], "origin": "二期课改练习册高三", "edit": [ "20220726\t王伟叶" @@ -233918,7 +234391,20 @@ "ans": "$\\dfrac{3439}{10000}$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221208\t2023届高三10班\t0.559", + "20221208\t2023届高三11班\t0.450", + "20221208\t2023届高三12班\t0.652", + "20221208\t2023届高三01班\t0.931", + "20221208\t2023届高三02班\t0.533", + "20221208\t2023届高三03班\t0.692", + "20221208\t2023届高三04班\t0.593", + "20221208\t2023届高三05班\t0.789", + "20221208\t2023届高三06班\t0.553", + "20221208\t2023届高三07班\t0.615", + "20221208\t2023届高三08班\t0.467", + "20221208\t2023届高三09班\t0.600" + ], "origin": "二期课改练习册高三", "edit": [ "20220726\t王伟叶" @@ -244984,7 +245470,20 @@ "ans": "A", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221208\t2023届高三10班\t1.000", + "20221208\t2023届高三11班\t1.000", + "20221208\t2023届高三12班\t1.000", + "20221208\t2023届高三01班\t1.000", + "20221208\t2023届高三02班\t0.967", + "20221208\t2023届高三03班\t0.962", + "20221208\t2023届高三04班\t0.889", + "20221208\t2023届高三05班\t0.974", + "20221208\t2023届高三06班\t1.000", + "20221208\t2023届高三07班\t0.880", + "20221208\t2023届高三08班\t0.926", + "20221208\t2023届高三09班\t0.960" + ], "origin": "新教材选择性必修第一册课堂练习", "edit": [ "20220730\t王伟叶" @@ -245035,7 +245534,20 @@ "ans": "(1) $\\dfrac{x^2}{25}-\\dfrac{y^2}{3}=1$; (2) $\\dfrac{x^2}{16}-\\dfrac{y^2}9=1$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221208\t2023届高三10班\t0.973\t0.946", + "20221208\t2023届高三11班\t0.952\t0.809", + "20221208\t2023届高三12班\t0.900\t0.900", + "20221208\t2023届高三01班\t0.967\t0.967", + "20221208\t2023届高三02班\t0.933\t0.833", + "20221208\t2023届高三03班\t0.885\t0.808", + "20221208\t2023届高三04班\t0.926\t0.852", + "20221208\t2023届高三05班\t0.949\t0.974", + "20221208\t2023届高三06班\t1.000\t0.972", + "20221208\t2023届高三07班\t0.840\t0.760", + "20221208\t2023届高三08班\t0.963\t0.852", + "20221208\t2023届高三09班\t1.000\t0.880" + ], "origin": "新教材选择性必修第一册课堂练习", "edit": [ "20220730\t王伟叶" @@ -247550,7 +248062,20 @@ "ans": "$15$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221208\t2023届高三10班\t0.853", + "20221208\t2023届高三11班\t0.700", + "20221208\t2023届高三12班\t0.739", + "20221208\t2023届高三01班\t0.966", + "20221208\t2023届高三02班\t0.933", + "20221208\t2023届高三03班\t0.923", + "20221208\t2023届高三04班\t0.852", + "20221208\t2023届高三05班\t0.789", + "20221208\t2023届高三06班\t0.974", + "20221208\t2023届高三07班\t0.808", + "20221208\t2023届高三08班\t0.800", + "20221208\t2023届高三09班\t0.767" + ], "origin": "新教材选择性必修第二册课堂练习", "edit": [ "20220730\t王伟叶" @@ -248651,7 +249176,20 @@ "ans": "$6$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221208\t2023届高三10班\t0.946", + "20221208\t2023届高三11班\t1.000", + "20221208\t2023届高三12班\t1.000", + "20221208\t2023届高三01班\t0.933", + "20221208\t2023届高三02班\t0.933", + "20221208\t2023届高三03班\t0.962", + "20221208\t2023届高三04班\t1.000", + "20221208\t2023届高三05班\t0.974", + "20221208\t2023届高三06班\t1.000", + "20221208\t2023届高三07班\t0.920", + "20221208\t2023届高三08班\t0.963", + "20221208\t2023届高三09班\t0.960" + ], "origin": "上海2022年秋季高考试题2", "edit": [ "20220730\t王伟叶" @@ -264916,7 +265454,20 @@ "ans": "$\\dfrac{x^2}{5.9^2}+\\dfrac{y^2}{5.8^2}=1$(以$1\\times 10^8\\text{km}$为单位)", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221208\t2023届高三10班\t0.568", + "20221208\t2023届高三11班\t0.143", + "20221208\t2023届高三12班\t0.750", + "20221208\t2023届高三01班\t0.667", + "20221208\t2023届高三02班\t0.400", + "20221208\t2023届高三03班\t0.462", + "20221208\t2023届高三04班\t0.630", + "20221208\t2023届高三05班\t0.333", + "20221208\t2023届高三06班\t0.806", + "20221208\t2023届高三07班\t0.680", + "20221208\t2023届高三08班\t0.667", + "20221208\t2023届高三09班\t0.480" + ], "origin": "新教材选择性必修第一册习题", "edit": [ "20220806\t王伟叶" @@ -269662,7 +270213,20 @@ "ans": "$2174$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221208\t2023届高三10班\t0.559", + "20221208\t2023届高三11班\t0.100", + "20221208\t2023届高三12班\t0.174", + "20221208\t2023届高三01班\t0.552", + "20221208\t2023届高三02班\t0.467", + "20221208\t2023届高三03班\t0.308", + "20221208\t2023届高三04班\t0.333", + "20221208\t2023届高三05班\t0.368", + "20221208\t2023届高三06班\t0.210", + "20221208\t2023届高三07班\t0.269", + "20221208\t2023届高三08班\t0.333", + "20221208\t2023届高三09班\t0.200" + ], "origin": "新教材选择性必修第二册习题", "edit": [ "20220806\t王伟叶" @@ -278849,7 +279413,20 @@ "ans": "$48$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221208\t2023届高三10班\t0.706", + "20221208\t2023届高三11班\t0.500", + "20221208\t2023届高三12班\t0.609", + "20221208\t2023届高三01班\t0.931", + "20221208\t2023届高三02班\t0.500", + "20221208\t2023届高三03班\t0.692", + "20221208\t2023届高三04班\t0.741", + "20221208\t2023届高三05班\t0.737", + "20221208\t2023届高三06班\t0.632", + "20221208\t2023届高三07班\t0.692", + "20221208\t2023届高三08班\t0.600", + "20221208\t2023届高三09班\t0.700" + ], "origin": "2022届高三上学期国庆卷4试题9", "edit": [ "20220817\t王伟叶" @@ -288908,7 +289485,20 @@ "ans": "$\\dfrac 1{15}$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221208\t2023届高三10班\t0.912", + "20221208\t2023届高三11班\t0.900", + "20221208\t2023届高三12班\t0.957", + "20221208\t2023届高三01班\t0.966", + "20221208\t2023届高三02班\t1.000", + "20221208\t2023届高三03班\t0.923", + "20221208\t2023届高三04班\t1.000", + "20221208\t2023届高三05班\t0.947", + "20221208\t2023届高三06班\t0.921", + "20221208\t2023届高三07班\t0.923", + "20221208\t2023届高三08班\t0.933", + "20221208\t2023届高三09班\t0.900" + ], "origin": "上海2014年秋季高考试题10", "edit": [ "20220819\t王伟叶" @@ -319046,7 +319636,20 @@ "ans": "$15360$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221208\t2023届高三02班\t0.323", + "20221208\t2023届高三10班\t0.629", + "20221208\t2023届高三11班\t0.591", + "20221208\t2023届高三12班\t0.750", + "20221208\t2023届高三01班\t0.480", + "20221208\t2023届高三03班\t0.577", + "20221208\t2023届高三04班\t0.308", + "20221208\t2023届高三05班\t0.821", + "20221208\t2023届高三06班\t0.538", + "20221208\t2023届高三07班\t0.179", + "20221208\t2023届高三08班\t0.286", + "20221208\t2023届高三09班\t0.536" + ], "origin": "2022届杨浦高三基础考试题18-20221130修改", "edit": [ "20221027\t王伟叶",