2024·全国·模拟预测
名校
解题方法
1 . 已知函数
的定义域为
,满足
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0a57d919989441f359cff598c9b0f8a.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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昨日更新
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71次组卷
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5卷引用:江苏省无锡市辅仁高级中学2024届高三下学期高考前适应性练习数学试题
江苏省无锡市辅仁高级中学2024届高三下学期高考前适应性练习数学试题(已下线)高三数学考前押题卷22024届普通高招全国统一考试临考预测押题密卷数学试题(A卷)贵州省毕节市赫章县乌蒙山学校教育集团2023-2024学年高二下学期5月检测数学试卷(第三次联考)(已下线)重难点突破01 抽象函数模型归纳总结(八大题型)
2 . 设抛物线
的焦点为
,
是
上的一个动点,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc7ad3432ac96b0a38beaa7f2edc3499.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.点![]() ![]() ![]() |
B.点![]() ![]() ![]() |
C.以![]() ![]() |
D.记点![]() ![]() ![]() ![]() |
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3 . 为了研究y关于x的线性相关关系,收集了5对样本数据(见表格),若已求得一元线性回归方程为
,则下列选项中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8498919ac0cc8a16477beaafec83c10d.png)
![]() | 1 | 2 | 3 | 4 | 5 |
![]() | ![]() | ![]() | 1 | ![]() | ![]() |
A.![]() |
B.当![]() ![]() |
C.样本数据y的40百分位数为1 |
D.去掉样本点![]() |
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解题方法
4 . 已知正实数
满足
(
是自然对数的底数,
),则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba412d4d07c2b6203b52ce006f1728ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e25da8298b6a96d627f3e8c990e55f0c.png)
A.![]() | B.![]() |
C.![]() ![]() | D.方程![]() |
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5 . 如图1,在
中,
是
的中位线,沿
将
进行翻折,连接
得到四棱锥
(如图2),点
为
的中点,在翻折过程中,下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/525cf9256d5dcd7bfc4b555fdcdd7009.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dec2ca6438c82b43f746057d8129885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8e7cedc39297d66dbb177f2a1f6bee2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
A.直线![]() ![]() |
B.直线![]() ![]() |
C.平面![]() ![]() ![]() |
D.平面![]() ![]() ![]() |
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6 . 已知函数
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/859a715c9289e2debfc83088355e8f65.png)
A.![]() ![]() |
B.![]() ![]() |
C.![]() ![]() |
D.![]() ![]() |
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7 . 如图,一个正八面体的八个面分别标以数字1到8,任意抛掷一次这个正八面体,观察它与地面接触的面上的数字
,得到样本空间
,设事件
为奇数
,事件
,事件
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/311314491bc52778b4d1c1765894d0ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e171f08a189e8a75094dead09255738f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4ca8bdc812627d925f00ed7c145d696.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94f8529f8e623e55061a44ff5d5050a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a0ace1a8c22a0e1de183642a54a0af5.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
8 . 已知
是函数
有四个零点,记
的导函数为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8ccd22fd0ca1a8e1468329284f91b6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51fb3ef65a6ee809219a3f9f78d127fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
A.![]() | B.![]() |
C.![]() ![]() ![]() | D.存在![]() ![]() |
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解题方法
9 . 过抛物线
的焦点
的直线
与
相交于A,B两点,
为坐标原点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6c830bfa9a1b979a1a9665166424bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6db0a1cbf7b0ed76c443b953af8734d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
10 . 定义平面斜坐标系
,记
,
,
分别为x轴、y轴正方向上的单位向量,若平面上任意一点P的坐标满足:
,则记向量
的坐标为
,给出下列四个命题,正确的选项是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ad4c21d0009cf8265361890308e056e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0411792b587ddd3e04440392f011c224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b95d660852c5226ff65a21cfb36b8b39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5253a9a71037d60059b60237824193b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91174b2336306191ba275a87864172b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a79a33a83a7ba57a34b5093d1d1d02.png)
A.若![]() ![]() ![]() |
B.若![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() |
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