解题方法
1 . 设
的内角
所对边的长分别是
,且
为
边上的中点,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/858850da3c7cf2285208d36cfc110036.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b406b1280d6fd8e9c7ef93a5a542936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/446179a39e9fd38ff2a4601ea38378a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/858850da3c7cf2285208d36cfc110036.png)
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2 . 若数集
的子集满足:至少含有2个元素,且任意两个元素之差的绝对值大于1,则称该子集为数集
的超子集.已知集合,记
,记
的超子集的个数为
,当
的超子集个数为221个时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f28611f423195f2afe782c91c4dcd14f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
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3 . 已知函数
有三个零点,求
的取值范围______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb8449783d0c6101a3933ccef7543602.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
解题方法
4 . 若
的展开式中
的系数为40,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37a73f29a1fb014c93b2ee960ed78ff6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0a89e3c30f6e4d4c5db4378b05d987.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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7日内更新
|
841次组卷
|
2卷引用:广东省江门市开平市开侨中学2023-2024学年高二下学期期末热身模拟数学试题
5 . 在
中,
是
的中点,
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/a9c3ec174b1ce835cc8737ff6ce57e52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97f763c492745451df3c4dbcc9fcbfe3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a22b02f6c8636152aeb62d191251e931.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
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6 . 已知向量
,
,则向量
在向量
上的投影向量的坐标为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90a182648aab984cb2f51e264f05accb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d50e6dd55084efe1d36e0b8ba67d4a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
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解题方法
7 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08f9fe7db765b3d70898dd340e572f3e.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5144ef22bf76eda6260653d78815c51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08f9fe7db765b3d70898dd340e572f3e.png)
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8 . 人脸识别就是利用计算机分析人脸视频或者图像,并从中提取出有效的识别信息,最终判别人脸对象的身份.在人脸识别中为了检测样本之间的相似度主要应用距离的测试,常用的测量距离的方式有曼哈顿距离和余弦距离.已知二维空间两个点
、
,则其曼哈顿距离为
,余弦相似度为
,余弦距离为
.已知
,
、
、
、
,若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/844ff0a8d04f677ed4b62cbe469a2d14.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df332f01628130c084fd46aaca0a4b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c913b3abbf53d81fcf25bf83d4ae3756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6bd2c8662cceaf088a950cba5913456.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef2376fa0549e6fae46bae54d6ace942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e28a96ee1e62b7fbc1fb0257ad0deeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a15405a264f0f2ca50fe3b423be7512.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0159c58f814125e55bb888d906e6697.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b67d67c9d32e76d5f4172a470232a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/360e05161aad124e6c133dc9e97f88f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd2674af81793d6703e457b954c79ee9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30e8da79f5c6ec3b6401e03f27141e8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/844ff0a8d04f677ed4b62cbe469a2d14.png)
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名校
解题方法
9 . 随机变量
服从正态分布
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9e3c4b8364999202a3aef33105e4f7f.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c67a470ef7c8c9d3afc99c82af18c65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfb3acaf127eccafb75df7fb0851762a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9e3c4b8364999202a3aef33105e4f7f.png)
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2024-04-24更新
|
851次组卷
|
3卷引用:广东省江门市开平市开侨中学2023-2024学年高二下学期期末热身模拟数学试题
名校
解题方法
10 . 已知某批产品的质量指标
服从正态分布
,其中
的产品为“可用产品”,则在这批产品中任取1件,抽到“可用产品”的概率约为__________ .参考数据:若
,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4622693ca4a9c67b8846787c9570b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4cb148148bad6cbcd26be1bfb0af45e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53c1ed67167078ea4f5f1ee53ee14164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc600375502284c940bd59f09c07cc45.png)
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2024-04-07更新
|
953次组卷
|
10卷引用:广东省珠海市第一中学2024届高三上学期大湾区期末数学预测卷(四)
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