名校
解题方法
1 . 在
中,角
的对边分别为
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f8c53f43770c0d22fcbcd771a933fde.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/b254e5ee33a298ef218adbde0d4385b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f8c53f43770c0d22fcbcd771a933fde.png)
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2024-05-04更新
|
721次组卷
|
4卷引用:浙江省杭州市西湖高级中学2024届高三下学期数学模拟预测数学试题
解题方法
2 . 已知集合
,
,且
有4个子集,则实数
的最小值是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea68b19da984734d0789a035bf8b5d47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b7680ddf232b11cdb97e86039a9a4e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
解题方法
3 . 已知函数
,若
,
,
,则实数
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4794be662f783b33ee48c6628e1d1628.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1813e963c8bf1352c491a5c4c3874fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/341a76642cb554aed4d20e85e432046a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e149f42d544ba0e3d3d79788bdf922fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
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名校
4 . 将
个棱长为1的正方体如图放置,其中上层正方体下底面的顶点与下层正方体上底面棱的中点重合.设最下方正方体的下底面
的中心为
,过
的直线
与平面
垂直,以
为顶点,
为对称轴的抛物线
在
的部分可以被完全放入立体图形中. 若
,则
的最小值为______ ;若
有解,则
的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e2242b7f969fa8d44efe15dab89f3ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0ed3681b6dcd0b77e23ca71396779ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/856e56adc28f505a7366642a2ca5a4d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c87b351f16728b0023fd63678f8103c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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名校
解题方法
5 . 经过椭圆
的右顶点与上顶点的直线斜率为
,则
的离心率为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6b0dadb875cccce870b69409a476606.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b9df9f9821a3c9c9335b13e3344b38e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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2024-04-24更新
|
1203次组卷
|
3卷引用:浙江省杭州学军中学2024届高三下学期4月适应性测试数学试题
名校
6 . 已知“
”表示小于
的最大整数,例如
.若
恰好有四个解,那么
的范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be209b4634a4169d727f9fac198acce3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e79b11454b7b935d5d3e736021a3b70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c661265024e8b806fdf2a0ef92295d4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
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解题方法
7 . 已知平面向量
是非零向量,且
与
的夹角相等,则
的坐标可以为__________ .(只需写出一个符合要求的答案)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61d24a3a1e082f399866149fe3ef5650.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d366d8fbb7258ee051f49977441e14a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d366d8fbb7258ee051f49977441e14a2.png)
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名校
8 . 设椭圆
与双曲线
有相同的焦距,它们的离心率分别为
,
,椭圆
的焦点为
,
,
,
在第一象限的交点为P,若点P在直线
上,且
,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff8210484dd6815b5bebc7b22f1389cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b82b84d8369b8792d0296638dd0fbe43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d33558881906c228c262ff8024dcfc4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a33a99190a8fd29c36d5a002e3197cc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04f9bdc6d9f09e14b037ea7d3ee1f623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a708c976cfe1b2741cb79d078db8e453.png)
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2024-04-19更新
|
513次组卷
|
2卷引用:浙江省金华十校2024届高三4月模拟考试数学试卷
9 . 某班有A,B两个学习小组,其中A组有2位男生,1位女生,B组有2位男生,2位女生.为了促进小组之间的交流,需要从A,B两组中随机各选一位同学交换,则交换后A组中男生人数的数学期望为___________ .
您最近一年使用:0次
10 .
的展开式中
的系数为___________ (用数字作答).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51602c091cca277364fbeaeba64d6b34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d800f03de80068a1172beac3a2c75587.png)
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