收录高三寒假作业42新题
This commit is contained in:
parent
47918c0d8b
commit
29159db8c3
|
|
@ -124,3 +124,6 @@
|
|||
20240125-122347
|
||||
023936:023942
|
||||
|
||||
20240125-122636
|
||||
023943:023949
|
||||
|
||||
|
|
|
|||
|
|
@ -109010,7 +109010,9 @@
|
|||
"edit": [
|
||||
"20220701\t王伟叶"
|
||||
],
|
||||
"same": [],
|
||||
"same": [
|
||||
"023949"
|
||||
],
|
||||
"related": [],
|
||||
"remark": "",
|
||||
"space": "4em",
|
||||
|
|
@ -379288,7 +379290,9 @@
|
|||
"edit": [
|
||||
"20230123\t王伟叶"
|
||||
],
|
||||
"same": [],
|
||||
"same": [
|
||||
"023947"
|
||||
],
|
||||
"related": [],
|
||||
"remark": "",
|
||||
"space": "",
|
||||
|
|
@ -645508,6 +645512,150 @@
|
|||
"space": "4em",
|
||||
"unrelated": []
|
||||
},
|
||||
"023943": {
|
||||
"id": "023943",
|
||||
"content": "若母线长是 $4$ 的圆锥的轴截面的面积是 $8$, 则该圆锥的高为\\blank{50}.",
|
||||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"origin": "自拟题目",
|
||||
"edit": [
|
||||
"20240125\t毛培菁"
|
||||
],
|
||||
"same": [],
|
||||
"related": [],
|
||||
"remark": "",
|
||||
"space": "",
|
||||
"unrelated": []
|
||||
},
|
||||
"023944": {
|
||||
"id": "023944",
|
||||
"content": "若棱台上、下底面的对应边之比为 $1: 2$, 则上、下底面的面积之比是\\blank{50}.",
|
||||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"origin": "自拟题目",
|
||||
"edit": [
|
||||
"20240125\t毛培菁"
|
||||
],
|
||||
"same": [],
|
||||
"related": [],
|
||||
"remark": "",
|
||||
"space": "",
|
||||
"unrelated": []
|
||||
},
|
||||
"023945": {
|
||||
"id": "023945",
|
||||
"content": "已知一个高为 $1$ 的三棱锥, 若各侧棱长都相等, 底面是边长为 $2$ 的等边三角形, 则三棱锥的表面积为\\blank{50}.",
|
||||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"origin": "自拟题目",
|
||||
"edit": [
|
||||
"20240125\t毛培菁"
|
||||
],
|
||||
"same": [],
|
||||
"related": [],
|
||||
"remark": "",
|
||||
"space": "",
|
||||
"unrelated": []
|
||||
},
|
||||
"023946": {
|
||||
"id": "023946",
|
||||
"content": "已知圆锥的顶点为 $S$, 母线 $SA$、$SB$ 所成角的余弦值为 $\\dfrac{7}{8}$, $SA$ 与圆锥底面所成角为 $45^{\\circ}$, 若 $\\triangle SAB$ 的面积为 $5 \\sqrt{15}$, 则该圆锥的侧面积为\\blank{50}.",
|
||||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"origin": "自拟题目",
|
||||
"edit": [
|
||||
"20240125\t毛培菁"
|
||||
],
|
||||
"same": [],
|
||||
"related": [],
|
||||
"remark": "",
|
||||
"space": "",
|
||||
"unrelated": []
|
||||
},
|
||||
"023947": {
|
||||
"id": "023947",
|
||||
"content": "金字塔的形状可视为一个正四棱锥.若以该四棱锥的高为边长的正方形面积等于该四棱锥一个侧面三角形的面积, 则其侧面三角形底边上的高与底面正方形的边长的比值为\\blank{50}.",
|
||||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"origin": "自拟题目",
|
||||
"edit": [
|
||||
"20240125\t毛培菁"
|
||||
],
|
||||
"same": [
|
||||
"013563"
|
||||
],
|
||||
"related": [],
|
||||
"remark": "",
|
||||
"space": "",
|
||||
"unrelated": []
|
||||
},
|
||||
"023948": {
|
||||
"id": "023948",
|
||||
"content": "已知体积为 $\\dfrac{\\sqrt{3}}{24}a^3$ 的正三棱锥 $P-ABC$ 中, $AB=a$, 则侧棱与底面所成角的大小为\\blank{50};侧面与底面所成二面角的大小为\\blank{50}.",
|
||||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"origin": "自拟题目",
|
||||
"edit": [
|
||||
"20240125\t毛培菁"
|
||||
],
|
||||
"same": [],
|
||||
"related": [],
|
||||
"remark": "",
|
||||
"space": "",
|
||||
"unrelated": []
|
||||
},
|
||||
"023949": {
|
||||
"id": "023949",
|
||||
"content": "如图, $SA$、$SB$ 是圆锥 $SO$ 的两条母线, $O$ 是底面圆的圆心, 底面圆的半径为 $10$, $C$ 是 $SB$ 中点, $\\angle AOB=60^{\\circ}, AC$ 与底面所成角的大小为 $45^{\\circ}$. 求此圆锥的侧面积和体积.\n\\begin{center}\n\\begin{tikzpicture}[>=latex, scale = 0.7]\n\\draw (-2,0) node [left] {$A$} coordinate (A);\n\\draw (0,0) node [above right] {$O$} coordinate (O);\n\\draw (0,{2*sqrt(3)}) node [above] {$S$} coordinate (S);\n\\draw (-120:2 and 0.5) node [below] {$B$} coordinate (B);\n\\draw ($(S)!0.5!(B)$) node [left] {$C$} coordinate (C);\n\\draw (A)--(S)--(2,0)(S)--(B)(A) arc (180:360:2 and 0.5);\n\\draw [dashed] (S)--(O)(A)--++(4,0)(B)--(O)(A)--(C)(A) arc (180:0:2 and 0.5);\n\\end{tikzpicture}\n\\end{center}",
|
||||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"origin": "自拟题目",
|
||||
"edit": [
|
||||
"20240125\t毛培菁"
|
||||
],
|
||||
"same": [
|
||||
"003487"
|
||||
],
|
||||
"related": [],
|
||||
"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.",
|
||||
|
|
|
|||
Reference in New Issue