添加三道关联题

题库0.3/Problems.json

@@ -595661,7 +595661,9 @@
             "20230905\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "022791"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -596041,7 +596043,9 @@
             "20230905\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "022792"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -596081,7 +596085,9 @@
             "20230905\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "022793"
+        ],
         "remark": "",
         "space": "4em",
         "unrelated": []
@@ -603516,6 +603522,75 @@
         "space": "",
         "unrelated": []
     },
+    "022791": {
+        "id": "022791",
+        "content": "已知函数 $f(x)$ 是奇函数且定义域为 $\\mathbf{R}$, 若 $x>0$ 时, $f(x)=x^2-2 x+1$, 则 $f(x)=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一上学期周末卷13小测-20231120修改",
+        "edit": [
+            "20230905\t王伟叶",
+            "20231120\t徐慧"
+        ],
+        "same": [],
+        "related": [
+            "022473"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "022792": {
+        "id": "022792",
+        "content": "下列函数既是奇函数, 又在区间 $[-1,1]$ 上是增函数的是\\bracket{20}.\n\\twoch{$f(x)=|x+1|$}{$f(x)=\\dfrac{x}{|x|-2}$}{$f(x)=\\begin{cases}x^2,& x \\geq 0,\\\\-x^2, & x<0\\end{cases}$}{$f(x)=-2x^3$}",
+        "objs": [],
+        "tags": [],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一上学期周末卷14-20231120修改",
+        "edit": [
+            "20230905\t王伟叶",
+            "20231120\t徐慧"
+        ],
+        "same": [],
+        "related": [
+            "022492"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "022793": {
+        "id": "022793",
+        "content": "(待编辑)已知函数 $f(x)=|x|+\\dfrac{1}{x}-3$. 判断函数 $y=f(x)$ 的奇偶性, 并说明理由.",
+        "objs": [],
+        "tags": [],
+        "genre": "4em",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一上学期周末卷14-20231120修改",
+        "edit": [
+            "20230905\t王伟叶",
+            "20231120\t徐慧"
+        ],
+        "same": [],
+        "related": [
+            "022494"
+        ],
+        "remark": "",
+        "space": "4em",
+        "unrelated": []
+    },
     "030001": {
         "id": "030001",
         "content": "若$x,y,z$都是实数, 则:(填写``\\textcircled{1} 充分非必要、\\textcircled{2} 必要非充分、\\textcircled{3} 充要、\\textcircled{4} 既非充分又非必要''之一)\\\\\n(1) ``$xy=0$''是``$x=0$''的\\blank{50}条件;\\\\\n(2) ``$x\\cdot y=y\\cdot z$''是``$x=z$''的\\blank{50}条件;\\\\\n(3) ``$\\dfrac xy=\\dfrac yz$''是``$xz=y^2$''的\\blank{50}条件;\\\\\n(4) ``$|x |>| y|$''是``$x>y>0$''的\\blank{50}条件;\\\\\n(5) ``$x^2>4$''是``$x>2$'' 的\\blank{50}条件;\\\\\n(6) ``$x=-3$''是``$x^2+x-6=0$'' 的\\blank{50}条件;\\\\\n(7) ``$|x+y|<2$''是``$|x|<1$且$|y|<1$'' 的\\blank{50}条件;\\\\\n(8) ``$|x|<3$''是``$x^2<9$'' 的\\blank{50}条件;\\\\\n(9) ``$x^2+y^2>0$''是``$x\\ne 0$'' 的\\blank{50}条件;\\\\\n(10) ``$\\dfrac{x^2+x+1}{3x+2}<0$''是``$3x+2<0$'' 的\\blank{50}条件;\\\\\n(11) ``$0<x<3$''是``$|x-1|<2$'' 的\\blank{50}条件.",