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1 . 春节期间,小明一家3口、姑姑一家3口和爷爷,奶奶围坐圆桌聚餐,则在爷爷、奶奶相邻的前提下,小明一家3口均不相邻的概率为__________ .
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2 . 已知
,若
,使
成立,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ca3f0a4b2d06539e74594736881aaa.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dcbe8b4bcd32e5a64ebfd873f8cbb2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c43f45b7b6ad276af317b62deb0403aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd19790a2ff5a3f0e4bbb4770cbfeca5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ca3f0a4b2d06539e74594736881aaa.png)
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3 . 如图,在扇形AOB中,
,
,点C在扇形AOB内部,
,
,则阴影部分的面积为______
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc1eb76fe74cba30f7cbcde349ba80da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b8ea58dc45bf719fa679db2ffa8a9a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/451156790ac81457a25bdfa06d867233.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0590b80055f283b90bac195d99ccd44f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35c901bcdfa58f0c68ad0161b0bab269.png)
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4 . 已知
,
是第四象限角,则
的值为__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d57444ead804245890b18f4b8a2b4e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d87a846fe363e4ae184c75f759b29c75.png)
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5 . 已知
,则不等式
的解集是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a32951e48e0cf81290da5295df26243.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bba4e0a1adebbea0ebf7f2847650eff2.png)
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2卷引用:甘肃省定西市临洮县第二中学2023-2024学年高二下学期第一次月考数学试题
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6 . 函数
的极值点为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d41008b08d73b9decde93c0ddcf0298.png)
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7 . 如图,某货轮在A处看灯塔B在货轮的北偏东
,距离为
海里,货轮由A处向正北航行到D处时,再看灯塔B在北偏东
,则A与D间的距离为________ 海里.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a4c9b697e3df2b5469b71d3b5e47a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f52f128086257ab7513889dbf6c7550.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c0927afc571a7c966c98192040979e.png)
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8 . 在三棱锥
中,
平面
,
,
,
,
分别是棱
,
,
的中点,
,
,则直线
与平面
所成角的余弦值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c06154cae3bf7a8ce5a1e97a7380875.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63a253c7fdf589ee3dece13d5b5b5732.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c3e9ef3e849788645552cfb0735d987.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00bab2c27eac56fffa4cd7dbe1dcdf1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/134ef0b1a2669a09f05bd4dc2496f706.png)
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9 . 在
中,
,
是
上的一点,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9f63d194aa0d4091618b6f41f569ee2.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f381b0b52ba24569a5d81183fa0e29db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b5f215a42c4b7078d8d65923eb9980e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9f63d194aa0d4091618b6f41f569ee2.png)
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10 . 为了比较E、F、G、H四组数据的线性相关性强弱,某同学分别计算了E、F、G、H四组数据的线性相关系数,求得数值依次为
,
,
,
,则这四组数据中线性相关性最强的是______ 组数据.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3f22cbe702303fae12a39a3e1db55ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0b7b4fe04a1075ffb35c1158aff6caf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f94834b1a3475cc14ef5c96250528d7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7331c6e66d56d603b9bacbd292b059ba.png)
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