1 . 对
定义一种新运算
,规定:
(其中
均为非零常数),这里等式右边是通常的四则运算,例如:
,已知
,若关于
的不等式组
恰好有3个整数解,则实数
的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e77fbdae7b1dc3b68203dbaea5b1adf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd0b3bde4c59d037de7957ae36a6ec75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22f1f83352df9f704b35cc5775e42e80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/101a3b192258439e9ef17208ad6f02e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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2024-03-26更新
|
266次组卷
|
3卷引用:2023年四川省成都市三校高中联考自主招生数学试卷
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解题方法
2 . 设数列
满足
,
,
,令
,则数列
的前100项和为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9b6e51986fe5d7a7265e0e93adcb4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1b7653150a83aaab6de59a93a678626.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2319ca145d579dc2d47ed136c7d9d629.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
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2024-01-23更新
|
1015次组卷
|
6卷引用:四川省成都市第七中学2024届高三下学期开学考试数学(理)试题
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3 . 在四棱锥 的四个侧面中,直角三角形最多可有___________ 个
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4 . 某种疾病的患病率为
,通过验血诊断该病的误诊率(将未患病者判定为阳性的概率)为
,漏诊率(将患病者判定为阴性的概率)为
,每人的诊断结果互不影响,则若某人验血的诊断结果是阳性,则该人患病的概率为_______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adb25dc4b4432d36c3c983d72cbceb92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28555fa2f3a09261cb4e0305d390145.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57f9fd62e62750b30638385031737f89.png)
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解题方法
5 . 已知向量
,向量
,则
的最大值是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77d8f371743485ff682032a631f25740.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6bc68a2bcdbfd2a1bac383b640e95d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3db87f99222f1705e122a6bd329c9f1.png)
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6 . 已知数列
的前n项和为
,数列
的前n项和为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/681967bfbdcdae96320e06da896b4da4.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6356a8d89111b170a31732d89ef83c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f329b217e1051b23f0d61023cdc6e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/681967bfbdcdae96320e06da896b4da4.png)
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7 . 如图,平行四边形
,点
为对角线
上的动点,
,连接
,则
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e046c6d455f5fc591ddc5416c3516760.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1ae536809b1161fd4e83fdc7f42be96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0222ce6a9176087111b5ce4cf204bb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfc174c16284b964603d2b71f361e564.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/486b804d3ba8d736e98a02e0e5530b90.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/8/8c99811a-c441-4f3c-8e38-f3d945d81fa9.png?resizew=162)
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8 . 如图,面积为4的平行四边形
中,
,过点
作
边的垂线,垂足为点
,点
正好是
的中点,点
、点
分别是
.上的动点,
的延长线交线段
于点
,若点
是唯一使得线段
的点,则线段
长
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adaa82a6500e3a95a24168f7df243790.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b42f7965e650bf3de82c5721c869eec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/8/32ae1758-89aa-4dfd-bdb7-bcc31ae74761.png?resizew=170)
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9 . 若关于
的方程
的所有根都是比1小的正实数,则实数
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dfbfee5f0bf940186beaa344edb9b61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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10 . 已知二次函数
,当自变量
的取值在
的范围内时,函数的图象与
轴有且只有一个公共点,则
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6485fec5e4dca058e1debceec3f2b34b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d544d676ba61b4315817833fdf5c01eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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