diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index f40fb6dc..517e0904 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -524192,6 +524192,29 @@ "space": "", "unrelated": [] }, + "019997": { + "id": "019997", + "content": "判断下列函数的奇偶性, 并说明理由:\\\\\n(1) $f(x)=x^2+x$;\\\\\n(2) $f(x)=\\begin{cases}x(1-x), & x<0,\\\\x(1+x),& x>0;\\end{cases}$\\\\\n(3) $f(x)=|x-a|$(其中$a$是常数);\\\\\n(4) $f(x)=x^n-x^{-n}$($n \\in \\mathbf{Z}$);\\\\\n(5) $f(x)=\\dfrac{\\sqrt{1-x^2}}{2-|x+2|}$.", + "objs": [], + "tags": [], + "genre": "4em", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2025届高一上学期周末卷12-20231106修改", + "edit": [ + "20230905\t王伟叶", + "20231106\t赵琍琍" + ], + "same": [], + "related": [ + "022436" + ], + "remark": "", + "space": "4em", + "unrelated": [] + }, "020001": { "id": "020001", "content": "判断下列各组对象能否组成集合, 若能组成集合, 指出是有限集还是无限集.\\\\\n(1) 上海市控江中学$2022$年入学的全体高一年级新生;\\\\\n(2) 中国现有各省的名称;\\\\\n(3) 太阳、$2$、上海市;\\\\\n(4) 大于$10$且小于$15$的有理数;\\\\\n(5) 末位是$3$的自然数;\\\\\n(6) 影响力比较大的中国数学家;\\\\\n(7) 方程$x^2+x-3=0$的所有实数解;\\\\ \n(8) 函数$y=\\dfrac 1x$图像上所有的点;\\\\ \n(9) 在平面直角坐标系中, 到定点$(0, 0)$的距离等于$1$的所有点;\\\\\n(10) 不等式$3x-10<0$的所有正整数解;\\\\\n(11) 所有的平面四边形.", @@ -593218,7 +593241,9 @@ "20230905\t王伟叶" ], "same": [], - "related": [], + "related": [ + "019997" + ], "remark": "", "space": "4em", "unrelated": []