1 . 已知函数
.
(1)讨论
的单调性;
(2)若
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e555d56535776367402baaad9fb457f.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18f0281e6bbdbe08beeccb55adf84536.png)
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2 . 下列论述正确的是( )
A.样本相关系数![]() |
B.由样本数据得到的经验回归直线![]() ![]() |
C.用决定系数![]() ![]() |
D.研究某两个属性变量时,作出零假设![]() ![]() ![]() ![]() |
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3 . 如图,三棱台
中,
是边长为2的等边三角形,四边形
是等腰梯形,且
,
为
的中点.
;
(2)若过
三点的平面截三棱台
所得的截面面积为
.当二面角![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbf41a3fcbd83bb806c9c4cbec8e36d2.png)
为锐二面角时,求二面角
的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9a8181f7a7fe7f3fac872ce9534f15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51f856c50b63de74c8e85c608e9dcc0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfc1f76257275ab4b04f9bc913535670.png)
(2)若过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb7ca1a5419f8a52b3141b0bc7b47dad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d3eb19246fe0299ae396fc9a7e1ee6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbf41a3fcbd83bb806c9c4cbec8e36d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e07eba786740939ce0ec951572b02f0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047b9fd4020265766074c80a7f8ad3a0.png)
您最近一年使用:0次
解题方法
4 . 已知函数
的定义域为
,若
,且
为偶函数,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66bc77f7320d20c9281735f21560d422.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee798afc6ca1bbee1f324fc7e0abafd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3587ff064f9af01371279ab75d22116c.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
5 . 已知向量
,
,且
与
的夹角为
,则
在
方向上的投影向量为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22bc898c85a1c02da3491572c3d99bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62c7d3b256fec1c30b6dd2a7b8e202f7.png)
![](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/3a3e82912726bc3267c111a031ebb874.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
6 . 已知正方体
棱长为2,点
在线段
上运动,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f6f93171329d508d491143b9d71f7b.png)
A.直线![]() ![]() ![]() |
B.三棱锥![]() ![]() |
C.![]() |
D.![]() ![]() |
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7 . 已知
是双曲线
的右焦点,
为其左支上一点,点
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dad0c75ce33673ec4c425896e8619e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8ddf4aac820c83365b1e731aacf4564.png)
A.双曲线的焦距为6 |
B.点![]() |
C.![]() ![]() |
D.若![]() ![]() ![]() |
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8 . 已知向量
,
,则“
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8de409b99dce4aeeb55f6968cb322f6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c708e9b2f4f3083cd8ac9cd72902fa8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7dced91de1b8c38aa95ffee0e5dc202.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
昨日更新
|
188次组卷
|
2卷引用:浙江省温州市2024年6月普通高中学业水平模拟测试数学试题
解题方法
9 . 如图,等腰直角三角形
中,
,
,
是边
上一动点(不包括端点).将
沿
折起,使得二面角
为直二面角,则三棱锥
的外接球体积的取值范围是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/615fc8790237a1b09af51d6bcad6b595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e18b48c0263fbc4cbf072b7662589e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db4c18aba9681a8475968248764d4c3a.png)
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10 . 将10个数据按照从小到大的顺序排列如下:
,若该组数据的
分位数为22,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59d7c0dbe5e618e8cb3d64a94a931caf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/740dce8766fa740f45fa05fb5f0a69c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
A.19 | B.20 | C.21 | D.22 |
您最近一年使用:0次