名校
解题方法
1 . 已知函数
.若函数
对一切
均成立,则实数
的取值范围______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f207d545352a63e27d8b4dd729f04f66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2a8a9f4f0d6590de86becb733bd1b6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb005769d5478c56fc5a01d824167d8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
解题方法
2 . 面积为1的
满足
为
的内角平分线且D在线段
上,当边
的长度最㛒时,
的值是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a20f5714a4e19c73eef7d904c40b362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d8c176e0c2b435675a3b8efab0e498d.png)
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名校
解题方法
3 . 已知
,
,
,
四点都在表面积为
的球
的表面上,若
是球
的直径,且
,
,则三棱锥
体积的最大值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f08a01aed02ce1eaf1aaefaa0342b7ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65a3e478bb87d094e3a0af30dd10ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c786b48d3aff4d2f73f83cc1a32a094a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
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名校
4 . 如图,在边长为2的菱形
中,
,
,点Q是
内部(包括边界)的一动点,则
的取值范围是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e075468e7fb0bf30229aec01a7205977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0ea17f12f933c4bafeb7b13a2635811.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10b773e10fc7ce108ea14ce5002d4fd5.png)
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2024-04-23更新
|
486次组卷
|
2卷引用:浙江省鄞州中学2023-2024学年高一下学期期中考试数学试题
5 . 在平面直角坐标系
中,定义
为
两点间的“曼哈顿距离”.已知椭圆
,点
在椭圆
上,
轴.点
满足
.若直线
与
的交点在
轴上,则
的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c913b3abbf53d81fcf25bf83d4ae3756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e3a1467ecf286e3cadaf5aa006606f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/533b93dd6eb6b474481247736699c76c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89fc107c4b33d6dd648b396156494ea9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2784a52c4da98dc9df661fc152fc29e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fa68d443e5683e5eb203fa39d14dc57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2dca049735b45fb9b2533c68605eddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f179ccebf08df42f72bf004e0aca2ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fa5cd98069de2aad5946849389a6c9c.png)
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名校
解题方法
6 . 已知双曲线
,斜率为
的直线与
的左右两支分别交于
两点,点
的坐标为
,直线
交
于另一点
,直线
交
于另一点
.若直线
的斜率为
,则
的离心率为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ef66f4832adc43902055a7e6d258037.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2267442b286785e89a0b5fb19b039669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2267442b286785e89a0b5fb19b039669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
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2024-03-19更新
|
1246次组卷
|
3卷引用:浙江省宁波市“十校”2024届高三3月份适应性考试数学试题
名校
7 . 设函数
,若对任意
,都存在唯一的
,使得
,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b205c44a76540af4a129e586e62d4ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b424bbc2f301c0ce92ed914fd49fa98c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/728697bd9af445ae7525af9168fdf816.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f5148c90b6d762234102e5bf5ca4c5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
8 . 已知
成公比为2的等比数列,且
.若
成等比数列,则所有满足条件的
的和为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61ba63ad02b1d5af2982fac3d91eb15c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64f12a1b977d45ffc7a4753eb1e2301d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f1608660d7d134ffc56d3fe068c898.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
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解题方法
9 . 设
为抛物线
的焦点,直线l与抛物线交于
两点,且
,则
的面积最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a601bb181415cf349821d76fc63668.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4139b091e9dc432b267ff68420c77de4.png)
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名校
解题方法
10 . 已知正方体
边长为1,
,平面BED,平面
,平面
交于一点M,则点M到平面
的距离为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f02d5b9dcbdd711ee50a14b61219684.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b698101d0a83239ce4e1d9afbb61f17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dda787b0b201dedd794bb8ed8989e09b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4508dc6d9c91157836be679c0543cac.png)
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