录入2026届高三基础赋能卷7部分题目

题库0.3/Problems.json

@@ -354871,7 +354871,9 @@
             "20230118\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "019951"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -426234,7 +426236,9 @@
             "20230503\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "019952"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -520712,6 +520716,110 @@
         "space": "",
         "unrelated": []
     },
+    "019951": {
+        "id": "019951",
+        "content": "已知扇形的半径为 $6$, 圆心角为 $\\dfrac{\\pi}{3}$, 则扇形的面积为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20231103\t毛培菁"
+        ],
+        "same": [],
+        "related": [
+            "013011"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "019952": {
+        "id": "019952",
+        "content": "若实数 $x$、$y$ 满足 $x^2+y^2=1$, 则 $x y$ 的取值范围是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20231103\t毛培菁"
+        ],
+        "same": [],
+        "related": [
+            "015734"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "019953": {
+        "id": "019953",
+        "content": "若函数 $f(x)=\\ln \\dfrac{1+x}{1-x}$ 的定义域为集合 $A$, 集合 $B=(a, a+1)$, 且 $B \\subseteq A$, 则实数 $a$ 的取值范围为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20231103\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "019954": {
+        "id": "019954",
+        "content": "``$a<\\dfrac{1}{4}$''是``一元二次方程 $x^2-x+a=0$ 有实数解''的\\bracket{20}.\n\\twoch{充分非必要条件}{充分必要条件}{必要非充分条件}{非充分非必要条件}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20231103\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "019955": {
+        "id": "019955",
+        "content": "有一批种子, 对于 1 颗种子来说, 它可能 1 天发芽, 也可能 2 天发芽, .......下表是不同发芽天数的种子数的记录:\n\\begin{center}\n\\begin{tabular}{|c|c|c|c|c|c|c|c|c|}\n\\hline 发芽天数 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & $\\geq 8$ \\\\\n\\hline 种子数 & 8 & 26 & 22 & 24 & 12 & 4 & 2 & 0 \\\\\n\\hline\n\\end{tabular}\n\\end{center}\n统计每个种子发芽天数得到一组数据, 则这组数据的中位数是\\bracket{20}.\n\\fourch{$2$}{$3$}{$3.5$}{$4$}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20231103\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "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.",