2023高三上·全国·专题练习
1 . 下列命题正确的是( )
①在
中,“
”是“
”的既不充分也不必要条件.
②在
中,
.
③在
中,角
,
,
所对的边分别为
,
,
,当
时,
为锐角三角形.
④在
中,
.
⑤在三角形中,已知两边和一角,则该三角形唯一确定.
①在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/030492644674b93e88ed864277b0ea26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
②在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30d80ccda367d3b6283735ffd356220e.png)
③在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73437ed2686e3a7a3b92ed0f2e73600a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
④在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd90b42d0781962b510eecc1ac36a2cb.png)
⑤在三角形中,已知两边和一角,则该三角形唯一确定.
A.①②③ | B.①②④ | C.③④⑤ | D.①④⑤ |
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2023高三上·全国·专题练习
2 . 下列结论正确的是( )
A.东南方向与南偏东![]() |
B.若![]() ![]() ![]() ![]() |
C.从![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
D.俯角是铅垂线与目标视线所成的角,其范围为![]() |
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名校
3 . 已知实数
,
满足
,则
,
可能是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f13d3fdf55e4b2102020ce893075bc0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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2023-12-19更新
|
571次组卷
|
3卷引用:专题10.1两角和与差的三角函数-重难点突破及混淆易错规避(苏教版2019必修第二册)
(已下线)专题10.1两角和与差的三角函数-重难点突破及混淆易错规避(苏教版2019必修第二册)江苏省决胜新高考2024届高三上学期12月大联考数学试题福建省永春一中、培元中学、石光中学、季延中学2024届高三下学期第二次联合考试数学试题
解题方法
4 . 已知四面体
.分别对于下列三个条件:
①
;②
;③
,
是
的充要条件的共有几个( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bcf0148aeba9b23f1dc95d753790b60.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b5f215a42c4b7078d8d65923eb9980e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7de966c316db1013defc56372fcf814e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e8f950a001b6108071e8d630c058b82.png)
是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a77e3c1c236141d6118429fade0a9b9d.png)
A.0 | B.1 | C.2 | D.3 |
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5 . Paul Guldin(古尔丁)定理又称帕普斯几何中心定理,其内容为:面积为S的封闭的平面图形绕同一平面内且不与之相交的轴旋转一周产生的曲面围成的几何体,若平面图形的重心到轴的距离为d,则形成的几何体体积V等于该平面图形的面积与该平面图形重心到旋转轴的垂线段为半径所画的圆的周长的积,即
.现有一工艺品,其底座是
绕同一平面内的直线
(如图所示)旋转围成的几何体.测得
,
,
,上口直径为36cm,下口直径56cm,则该底座的体积为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/17/bba966c5-4fa5-4b8e-8fa5-e1ef2acb0422.png?resizew=135)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0635909fb93980c5958277b920ab49e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37b17e3ec5b8d9f9f48cae5ce55c93ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bfe6362e241ce790c6c30dfdfe72f07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52d4bc1be051f904d4a6e06dc825395b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/17/bba966c5-4fa5-4b8e-8fa5-e1ef2acb0422.png?resizew=135)
A.![]() | B.![]() |
C.![]() | D.![]() |
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6 . 如图,
是轮子外边沿上的一点,轮子的半径为0.5(单位:
).若轮子从图中位置向右匀速无滑动滚动,设当滚动的水平距离为
(单位:
)时,点
距离地面的高度为
(单位:
),则下列说法中正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/15/dbf822d3-cb01-4026-b99d-1d39bba266b4.png?resizew=239)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15e00f40396e914d1d9955bd7785f1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15e00f40396e914d1d9955bd7785f1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15e00f40396e914d1d9955bd7785f1f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/15/dbf822d3-cb01-4026-b99d-1d39bba266b4.png?resizew=239)
A.当![]() ![]() |
B.![]() ![]() |
C.当![]() ![]() |
D.若![]() ![]() ![]() ![]() |
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7 . 已知
,
,
分别为
的三个内角
的对边,若点
在
的内部,且满足
,则称
为
的布洛卡(Brocard)点,
称为布洛卡角.布洛卡角满足:
(注:
).则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec15e5cb6d4dc2cf6ba0bedd87514448.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59cfa6513f26ed47a56cc8478ba5e701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58d29c768a4125f2d0a774d3065a28ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5951b002c1d3337489320c5ff7c38893.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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8 . 我国魏晋时期的数学家刘徽创造性的提出了“割圆术”,刘徽认为圆的内接正
边形随着边数
的无限增大,圆的内接正
边形的周长就无限接近圆的周长,并由此求得圆周率
的近似值.如图当
时,圆内接正六边形的周长为
,故
,即
.运用“割圆术”的思想,下列估算正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c345907ebe27888332b1b44c666cc47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22c691a0aa5888ce5cafd74157d6de38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0c5487510bd69853fe1f11fc424477a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f13a78a5feb056770750c6a0ebebdd2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/28/edf62640-b5bb-4d34-bc60-173c245782b0.png?resizew=125)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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名校
9 . 已知函数
,
,下列四个结论中,正确 的结论有( )
①方程
有2个不同的实数解;
②方程
有2个不同的实数解;
③方程
有且只有1个实数解;
④当
时,方程
有2个不同的实数解.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1584d1794cbea8f277446c78bd1e3810.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ae20d171f699a035e00888aeafe3b1a.png)
①方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f6c6f2a84a7747e2fdab01f770e88be.png)
②方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33a6b0cd15871acc0deff7703783fafa.png)
③方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4724381345ed23396777a9be9466a78a.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e23f593cd4b055a3f6b0705cd70a99e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50d20b5428095837b4cb2f9e9d5f1289.png)
A.0个 | B.1个 | C.2个 | D.3个 |
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2023·全国·模拟预测
解题方法
10 . 圭表是我国古代一种通过测量正午日影长度来推定节气的天文仪器,它包括一根呈南北方向的水平长尺(称为“圭”)和一根直立于圭面的标杆(称为“表”),如图.成语有云:“立竿见影”,《周髀算经》里记载的二十四节气就是通过圭表测量日影长度来确定的.利用圭表测得某市在每年夏至日的早上8:00和中午13:00的太阳高度角分别为
(
)和
(
).设表高
为1米,则影差
( )(参考数据:
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2690e1a00ef032f0d6a0082e4eee46b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaed5b53ceaafb818be9416b183c5232.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3981e7286d41960daf4e110c1c84e03a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bf7b5976aa8c8651ca066234db55088.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baba96fc0c153abbb053c4714f04c480.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47bb3f35e3db7c1f3a3dd3eb20151b5f.png)
A.2.016米 | B.2.232米 | C.2.428米 | D.2.614米 |
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