收录高二寒假作业6

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weiye.wang 2024-02-04 13:37:06 +08:00
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commit 3e8ffa67c2
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20240204-132416 高二寒假作业5
024476:024478,017842,011651,024479:024483,009311,022102,009344,024484:024488
20240204-133650 高二寒假作业6
024489:024496,040399,030028,013015,024497,013014,024498:024500,013033,016087

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"024489": {
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"content": "设一个扇形的周长是 16 , 其面积是 12 , 则它的圆心角的大小为\\blank{50}.",
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"024490": {
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"content": "已知点 $P(\\tan \\alpha, \\sin \\alpha)$ 在第三象限, 则角 $\\alpha$ 的终边在\\blank{50}第象限;",
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"content": "化简 $\\dfrac{\\sin (\\pi-\\theta) \\cdot \\cos (\\dfrac{3 \\pi}{2}-\\theta) \\cdot \\tan \\theta}{\\cos (2 \\pi-\\theta) \\cdot \\cot (\\theta-\\dfrac{\\pi}{2}) \\cdot \\sin (\\dfrac{\\pi}{2}-\\theta)}=$\\blank{50}.",
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"024492": {
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"content": "设 $\\sin (\\dfrac{\\pi}{4}+\\theta)=\\dfrac{1}{3}$, 则 $\\sin 2 \\theta=$\\blank{50}.",
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"024493": {
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"content": "在 $\\triangle ABC$ 中, 三边为 $a=2$, $b=3$, $c=4$, 则最大角的余弦值为\\blank{50}.",
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"024494": {
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"content": "在 $\\triangle ABC$ 中, 若 $A=30^\\circ$, $C=135^\\circ$, $a=1$, 则 $c=$\\blank{50}.",
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"024495": {
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"content": "函数 $y=\\sin x-\\sqrt{3}\\cos x$, $x \\in[-\\dfrac{\\pi}{6}, \\dfrac{\\pi}{2})$ 的值域是\\blank{50}.",
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"024496": {
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"content": "函数 $y=\\sin ^2 x+2 \\cos x$ 的值域是\\blank{50}.",
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"024497": {
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"content": "已知在 $\\triangle ABC$ 中, 角 $A, B, C$ 所对的边分别为 $a, b, c$. 若 $a=1$, $\\angle B=45^{\\circ}$, 三角形的面积 $S_{\\triangle ABC}=2$, 那么 $\\triangle ABC$ 的外接圆直径等于\\blank{50}.",
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"024498": {
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"content": "把函数 $y=\\sin (\\omega x+\\varphi)$, ($\\omega>0$, $|\\varphi|<\\pi$) 的图像向左平移 $\\dfrac{\\pi}{6}$ 个单位, 所得图像解析式为 $y=\\sin x$, 则$\\varphi=$\\blank{50}.",
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"024499": {
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"content": "在 $\\triangle ABC$ 中, 角 $A,B,C$ 的对边分别 $a,b,c$, 已知 $a+b=5$, $c=\\sqrt{7}$, 且 $\\sin ^22C+\\sin 2C \\cdot \\sin C+\\cos 2C=1$.\\\\\n(1) 求角 $C$ 的大小;\\\\\n(2) 求 $\\triangle ABC$ 的面积.",
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"024500": {
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"content": "已知函数 $f(x)=\\cos (2 x-\\dfrac{\\pi}{3})+2 \\sin (x-\\dfrac{\\pi}{4}) \\sin (x+\\dfrac{\\pi}{4})$.\\\\\n(1) 求函数 $f(x)$ 的最小正周期和图像的对称轴方程;\\\\\n(2) 求函数 $f(x)$ 在区间 $[-\\dfrac{\\pi}{12}, \\dfrac{\\pi}{2}]$ 上的值域.",
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"030001": {
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"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.",
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