1 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f36133b6656f7013db6e64497d4dd231.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f36133b6656f7013db6e64497d4dd231.png)
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2 . 下列说法正确的有( )个.
①若角
与角
为锐角
的两个内角,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85b48895daa87c296d961bfd0d4fd386.png)
②函数
的图像的对称中心为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b30178cf2a252263a371af19101fa6b.png)
③周长为8,面积为3的扇形所对的圆心角为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/150c57a06c477de15520c289e2adabf1.png)
④第一象限角不都是小于
的角,但小于
的角都是第一象限角
⑤若
,且
,则
①若角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85b48895daa87c296d961bfd0d4fd386.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62d3744aa1b193855b1e8c79c3acf78a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b30178cf2a252263a371af19101fa6b.png)
③周长为8,面积为3的扇形所对的圆心角为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/150c57a06c477de15520c289e2adabf1.png)
④第一象限角不都是小于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
⑤若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/140d770d2bcf921a2bc29267fa69aafc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b06f37bd322af6e273ceb66bac49a716.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c9604d031a1bad6472ba6b199576b5f.png)
A.1 | B.2 | C.3 | D.4 |
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3 . 摩天轮是一种深受大家喜爱的大型游乐设施,游客坐在摩天轮的座舱里慢慢地往上转,可以从高处俯瞰四周景色. 某摩天轮的半径为50米,圆心O距地面的高度为50米,摩天轮做匀速运动,每3分钟转一圈,点P的起始位置在摩天轮的最低点出,已知摩天轮上一点P在时刻t(单位:分钟)距离地面的高度y(单位:米)满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae10ec457a9bd065fa4a1020a8b65994.png)
(1)根据条件写出y(单位:米)关于t(单位:分钟)的函数解析式.
(2)若游客在距离地面的高度达到了85m时能够获得最佳视觉效果,请问摩天轮转动一周能有多长时间使游客有最佳视觉效果?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81e14c42e06e01d49b5afc907fe69d57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae10ec457a9bd065fa4a1020a8b65994.png)
(1)根据条件写出y(单位:米)关于t(单位:分钟)的函数解析式.
(2)若游客在距离地面的高度达到了85m时能够获得最佳视觉效果,请问摩天轮转动一周能有多长时间使游客有最佳视觉效果?
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解题方法
4 . 已知单位向量
,
满足
,若向量
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f48d04248ba8a8b1db3cb086370c2f7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd947151b1660ef8152b5f638eeaa954.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/535b2cb1417091a4995a78ad3e29aa9b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d0779083ad044aa4e8e23f1565140ae.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d0779083ad044aa4e8e23f1565140ae.png)
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6 . 如图,在四棱锥
中,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f022f201dbd14f38b45ca33d30c631e.png)
,底面
为正方形.记直线
与平面
所成的角为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/31/76465f92-3e86-4c66-8b74-52982ee84605.png?resizew=196)
(1)求证:平面
平面
;
(2)若二面角
的大小为
,求
的值;
(3)当
时,
、
中点为
,
,点
为线段
上的动点(包括端点),
,二面角
的大小记为
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f022f201dbd14f38b45ca33d30c631e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea574e021151141d6a56e5fb8f70ca3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a6e2867f32d3f1c3cd36cd3a11a8580.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/31/76465f92-3e86-4c66-8b74-52982ee84605.png?resizew=196)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78307cd417504554a4e2276fe24d1162.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5000fea066102e62cf2128ccbbd2b3e3.png)
(2)若二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56fbfbab5bd0989259b00490ee118947.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0211da37e92f915e781691296578ba0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aefd06c239145a2b6ae87a955aa51414.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70ad7d1e3fad77908415415d6b2a90f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d4db9b82b67efe45a02fca32bfcf5dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3af2fa3f00743e79487e96b81b9e1290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24146db7088bd19886b14ad0d4c1d32b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc9750c313ee972124cb62c4a6fb7ea.png)
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2022-07-20更新
|
1306次组卷
|
2卷引用:辽宁省大连市2021-2022学年高一下学期期末数学试题
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7 . 下列结论中正的是( )
A.![]() ![]() |
B.已知![]() ![]() ![]() |
C.已知![]() ![]() ![]() |
D.![]() |
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8 . 已知梯形
中,
,
,
,
.
![](https://img.xkw.com/dksih/QBM/2022/5/18/2981893460721664/2982340511793152/STEM/21ab9aed-515d-41ae-9b6c-064c45308291.png?resizew=175)
(1)求
的最大值,此时
等于多少?
(2)求梯形
面积的最大值,此时
等于多少?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edc6b94f23607ff4261c371ec9425c8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3a0edf53b56ee015f9a7b1a083da275.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb5b12692517a39c320f99a479eb055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0ed15020c1c669e06a3a3b1557242e9.png)
![](https://img.xkw.com/dksih/QBM/2022/5/18/2981893460721664/2982340511793152/STEM/21ab9aed-515d-41ae-9b6c-064c45308291.png?resizew=175)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6151fb896230f2579d516af4c67e634a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(2)求梯形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
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9 . 若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9b46a66acaafd8fa7d77a1537047e20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b124c20569fad5eb3a6a56bd800c89e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
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2022-04-14更新
|
463次组卷
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3卷引用:辽宁省沈阳市沈河区第二中学2021-2022学年高一下学期4月月考数学试题
辽宁省沈阳市沈河区第二中学2021-2022学年高一下学期4月月考数学试题辽宁省沈阳市第二中学2021-2022学年高一下学期4月月考数学试题(已下线)7.3.5 已知三角函数值求角-【帮课堂】(人教B版2019必修第三册)
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10 . 满足
的
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c70c030ba1a4def285f1799b662f1ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2021-12-14更新
|
327次组卷
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2卷引用:辽宁省沈阳市第一二〇中学2021-2022学年高一下学期期中考试数学试题