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解题方法
1 . 从写有数字1,2,3,4,5的5张卡片中任选2张,其上数字和为偶数的概率是________ .
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2 . 已知
,若对任意
,
,则
的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6665f58c63415e0a4aa3c94b30815218.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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3 . 已知向量
满足
,
,则
的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e8b95a61af300412fc65f846089028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7958a6bddd1d578bbd6fbcb92e3f6a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2396cac4b185cf1f1a67dad9248481c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cce3ad3b386c7a4b415e977b6a8d849d.png)
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4 . 设复数
满足
(
为虚数单位),则
的模为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42a5de8e3cec4400e1df71d8943403b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
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5 . 已知集合
,集合
,若
,则实数
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/279fba9ba2f325d2d3c95f8caede1cdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e60990e996ff1f3f6c13c57208183b96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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6 . 已知复数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d5668ad7a79cab1567cc6414ef43ffa.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2befa65dde18a77cd5218b77bb000d45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d5668ad7a79cab1567cc6414ef43ffa.png)
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7 . 底面半径长为1,母线长为
的圆锥的体积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
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8 . 设都是非零常数,且满足
,则
表示)
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2024-03-20更新
|
413次组卷
|
2卷引用:上海市七宝中学2023-2024学年高一下学期开学考试数学试题
9 . 若实数
满足
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ada49e3318ac9f789853bd23d90f19c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b11ac7b531dd221bdfec2c18635517.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
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解题方法
10 . 定义:关于
的两个不等式
,
的解集分别为
和
,则称这两个不等式为对偶不等式,如果不等式
与不等式
为对偶不等式,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b657cfa91b6394e4b00fa385a2c0149.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b666663ce3537a634a3b427b418eb62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f36f7ab55b63c08280a41fb64366b819.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30277e0be448b4955903e81e8795e45d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/370fc6610dcc2e53acee86dfdc927815.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e402587aa54147c90ad33017a05fb38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72d0d4d75eb5c4c84e98c6f0ff805cf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b657cfa91b6394e4b00fa385a2c0149.png)
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