录入2024届高三赋能卷3A的新题目

题库0.3/Problems.json

@@ -303201,7 +303201,8 @@
         ],
         "same": [],
         "related": [
-            "000382"
+            "000382",
+            "019935"
         ],
         "remark": "",
         "space": "",
@@ -303546,7 +303547,9 @@
             "20220817\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "019938"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -520344,6 +520347,130 @@
         "space": "4em",
         "unrelated": []
     },
+    "019934": {
+        "id": "019934",
+        "content": "已知 $(\\sin \\alpha-\\dfrac{3}{5})+(\\cos \\alpha-\\dfrac{4}{5}) \\mathrm{i}$ 是纯虚数(i 是虚数单位), 则 $\\tan \\alpha=$\\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": []
+    },
+    "019935": {
+        "id": "019935",
+        "content": "已知向量 $\\overrightarrow{a}=(1,-2)$, $\\overrightarrow{b}=(3,4)$, 则 $\\overrightarrow{a}$ 在 $\\overrightarrow{b}$ 的方向上的投影向量的坐标为\\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": [
+            "011094"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "019936": {
+        "id": "019936",
+        "content": "已知 $\\mathrm{i}$ 是虚数单位, 复数 $z$ 满足 $z \\cdot(1+\\sqrt{3}\\mathrm{i})=1$, 则 $|z|=$\\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": []
+    },
+    "019937": {
+        "id": "019937",
+        "content": "某企业生产的 12 个产品中有 10 个一等品, 2 个二等品, 现从中抽取 4 个产品, 其中恰好有 1 个二等品的概率为\\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": []
+    },
+    "019938": {
+        "id": "019938",
+        "content": "已知 $\\triangle ABC$ 中, $\\angle A=\\dfrac{\\pi}{2}$, $AB=AC=2$, 点 $P$ 是边 $AB$ 的中点, 点 $Q$ 是边 $AC$ 的中点,则 $\\overrightarrow{BQ}\\cdot \\overrightarrow{CP}$ 的值为\\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": [
+            "011104"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "019939": {
+        "id": "019939",
+        "content": "设 $a \\in \\mathbf{R}$. 已知函数 $y=f(x)$ 是定义在 $\\mathbf{R}$ 上的偶函数, 且在 $[0,+\\infty)$ 上是严格增函数,若 $f(a)<f(b)$, 则\\bracket{20}.\n\\fourch{$a<b$}{$a>b$}{$a^2<b^2$}{$a^2>b^2$}",
+        "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.",