1 . 若向量
,
,
共面,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e938912144c782fb3e95af300eb3e09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef5708786412d7a989b1d8e1356f045e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df0f25b0b1742d6b0c0d9e42382fa4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
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2 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1d4d1630360feba06138ffdd92b3efd.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecae966ab803d56b068ab2b97b913c57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1d4d1630360feba06138ffdd92b3efd.png)
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3 . 已知函数
在
上连续且存在导函数
,对任意实数
满足
,当
时,
.若
,则
的取值范围是______ .
![](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/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/297c2202db3ad2a09020d697fa7353d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4921923069c4f38a0af1ff8637e35b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63f7c57aebce6b242aaafe7f1ec70666.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af97007629a190827ec414cab51a0c48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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7日内更新
|
259次组卷
|
4卷引用:江西省部分学校2023-2024学年高二下学期第二次月考(5月联考)数学试题
4 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2be5acfcb74659c7b97c011e0e6ffbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.png)
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5 . 在三棱锥
中,
,若该三棱锥的所有顶点均在球
的表面上,则球
的表面积为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d2bccc2821533d3147f5309eb1104b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
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6 . 设直线
的方向向量为
,平面
的法向量为
,则直线
与平面
所成角的大小为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/586df0db33bce54b84db87f068365e39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a49f411ec77b1785ff8300606e7c266.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
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2024-06-16更新
|
140次组卷
|
2卷引用:江西省部分学校2023-2024学年高二下学期第二次月考(5月联考)数学试题
解题方法
7 . 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)
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8 . 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)
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9 . 在平面直角坐标系
中,已知曲线
的一条切线
与
轴、
轴分别交于
,
两点,则
的面积的最大值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99d4fc2fe77286738f34d233cddc573b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.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/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
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2024-06-14更新
|
313次组卷
|
2卷引用:江西省上饶市稳派上进六校联考2024届高三5月第二次联合考试数学试题
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10 . 已知函数
的零点为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0be0c6f8ade9545b03b7569feb46d582.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f817ccd47343fd6d4d1da3b71e39cd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0be0c6f8ade9545b03b7569feb46d582.png)
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2024-06-11更新
|
412次组卷
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3卷引用:江西省宜丰中学2024届高三下学期模拟预测数学试卷