名校
解题方法
1 . 已知函数
,若
在其定义域上没有零点,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/420e47c40f2d24c32db4c591cff43818.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2 . 欧拉函数
的函数值等于所有不超过正整数
,且与
互质的正整数的个数(公约数只有1的两个正整数称为互质整数),例如:
,
,则数列
的前
项和为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad13428d2891b2bccd870f2a8061f77d.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/da8113f70737283a31ba1c5af62a8118.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d53e72365953a1fb223b7255cc43e6f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc96280ed7f6538a23bb7d3fec82a331.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
3 . 在
中,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e993bde3f1931058eb2c08c3e5bccee6.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ca9e90a095dc00ba3289f61892d5832.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e993bde3f1931058eb2c08c3e5bccee6.png)
您最近一年使用:0次
4 . 某儿童游乐场有一台打地鼠游戏机,共有9个洞.游戏开始后,每次有且仅有一只地鼠从某洞中冒出,地鼠第1次从1号洞冒出来.假设游戏过程中地鼠从上一个洞继续冒出的概率为
,从其它洞冒出的可能性相等,则地鼠第3次从1号洞冒出的概率是__________ .假设游戏结束时,地鼠一共冒出
次,则地鼠从1号洞冒出的次数期望值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3ffd5c35bba71ea54c28622b6cf505d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
解题方法
5 . 已知函数
在区间
上有且仅有三个零点,则
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/833695d7d22c5354304d81dfa42b9daa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71163f419555f2ed76075c8ff659fbfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
您最近一年使用:0次
解题方法
6 . 若集合
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fe156c10c39e5214f325ce8a2180858.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a151ad5f40d205d547657e6de56b0c1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fe156c10c39e5214f325ce8a2180858.png)
您最近一年使用:0次
名校
解题方法
7 . 在长方形
中,
,点E在线段AB上,
,沿
将
折起,使得
,此时四棱锥
的体积为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de745f4a313e835454881b20c7fabeb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1364213f546b37f8764ddcb59e36ae4.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/0c05986ad5fa244bc1aedf7b5d216544.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5164a3cc47e266446d49127e2ef10c37.png)
您最近一年使用:0次
2024-06-18更新
|
389次组卷
|
3卷引用:江西省部分学校2024届高三5月大联考数学试卷
解题方法
8 . 已知复数
满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/882bff376e1d71865bd23b747ef78a66.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2c26e564110b612b04c59fd4fa8c9b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/882bff376e1d71865bd23b747ef78a66.png)
您最近一年使用:0次
解题方法
9 . 如图是飞行棋部分棋盘,飞机的初始位置为0号格,抛掷一枚质地均匀的骰子,若抛出的点数为1,2,飞机向前移一格;若抛出的点数为3,4,5,6,飞机向前移两格.直到飞机移到第
(
且
)格(失败集中营)或第
格(胜利大本营)时,游戏结束.则飞机移到第3格的概率为___________ ,游戏胜利的概率为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aadf9ab510510120699c5eee39ab18b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5d0a73f50b3e4583f1c1b6d6bf0d18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a56c561ae92deb820c04628859bb7543.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
解题方法
10 . 已知向量
,
满足
,向量
在
上的投影向量为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba3c6bd21d9c27a68b970f446f04d6df.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2396cac4b185cf1f1a67dad9248481c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81cdfd82868aefda05f52913dfd762a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba3c6bd21d9c27a68b970f446f04d6df.png)
您最近一年使用:0次