名校
解题方法
1 . 已知双曲线
的左、右焦点分别为
,
,
的三个顶点都在
上,且直线
过原点,直线
,
斜率的乘积为3,则双曲线
的离心率为______ ,双曲线
的渐近线方程为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bce0d4ca414e9e870813ae89721e0fc8.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/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/496db617426f8d1e91b38c8cc7f5e7ce.png)
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2 . 设
为平面上两点,定义
、已知点P为抛物线
上一动点,点
的最小值为2,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
_________ ;若斜率为
的直线l过点Q,点M是直线l上一动点,则
的最小值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e3a1467ecf286e3cadaf5aa006606f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/093c6d5bcaa69cea79b24688f5d1bd97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82ea1be9b9b6bb12afa7e1ce703d1603.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50061a63fdbd8394471c07f333d9fec4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/314837d3a10726c5f83528f791d20020.png)
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2024-06-04更新
|
880次组卷
|
4卷引用:山东省枣庄市2024届高三三调数学试题
山东省枣庄市2024届高三三调数学试题山东省青岛市2024届高三下学期第二次适应性检测数学试题(已下线)山东省济南市2024届高三下学期5月适应性考试(三模)数学试题湖北省武汉市汉铁高级中学2024届高考数学考前临门一脚试卷
3 . 《缀术》中提出的“缘幂势既同,则积不容异”被称为祖暅原理,其意思是:如果两个等高的几何体在同高处被截得的两截面面积均相等,那么这两个几何体的体积相等.该原理常应用于计算某些几何体的体积.如图,某个西晋越窑卧足杯的上下底为互相平行的圆面,侧面为球面的一部分,上底直径为
,下底直径为6cm,上下底面间的距离为3cm,则该卧足杯侧面所在的球面的半径是__________ cm;卧足杯的容积是____________
(杯的厚度忽略不计)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68d4428ff9e9eaf5a0b26c6b18668f8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc6d1d99afa158b4ba4fc0dae562fcc1.png)
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解题方法
4 . 已知点
为圆
上位于第一象限内的点,过点
作圆![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3507fafd1db352f09d29355459cbcecb.png)
的两条切线
,切点分别为
,直线
分别交
轴于
两点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/096ff746dcbbf5b53237f8b14844ba05.png)
_______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098658ddd8826dc6637297e1e6c7acdc.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df8ad3b1a11a6f66323223c37693f5c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3507fafd1db352f09d29355459cbcecb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/260c5c6b68ba79277669d76d097f3976.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ec8858389f4c3156a946ba8bf0d8a7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6670479a0083dd2dfd5ad55b47b1ab6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ec8858389f4c3156a946ba8bf0d8a7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8b3f3c6e7712b32b861739dc84b004c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/096ff746dcbbf5b53237f8b14844ba05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098658ddd8826dc6637297e1e6c7acdc.png)
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5 . 古希腊著名数学家阿波罗尼斯发现:若动点M与两个定点A,B的距离之比为常数
(
,
),则点M的轨迹是圆.后来,人们将这个圆以他的名字命名,称为阿波罗尼斯圆,简称阿氏圆.已知
,M是平面内一动点,且
,则点M的轨迹方程为________ .若点Р在圆
上,则
的最小值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3be362dec96173f246ff747264007817.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/472393b18c7880e73b40e31fbe2d951c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de1e68a8b84c7062f763dd06beef5383.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a28ad58f426c58a9b2b89be292191dc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f817d5f7090558cffccf8c3cd82c0493.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d183e00fa84e9df65c1e90d6b647c872.png)
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6 . 已知抛物线
与圆
相交于四个不同的点
,则r的取值范围为______ ,四边形
面积的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10f4123c19136d3a4dc040dce8e34e14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99622d39db9a625fb4c4e30f6547db4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c82a10b4f0c9323d726804c89dd9548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
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解题方法
7 . 已知
中,点
在边
上,
,
,
,则
的面积为______ ;若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c978d92edf0c4c1ef8620c17df75d35e.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/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/284e282bb1d9fbf8634b3506ee5358ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e44255421dbf68d84f86551b34a57656.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8e39bee1445161f91213c83b498b8ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce1a106e4f1a3d3f9efddb4dc4c63664.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c978d92edf0c4c1ef8620c17df75d35e.png)
您最近一年使用:0次
名校
8 . 已知数列
是单调递增的等比数列,且
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cc44f646f6e3cd6921f50c3903c86d3.png)
________ ,数列
的公差为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4db7b6886fc235329e8bc0a82845e13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37933cfc60b4bd29f1684687ddd2cbd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cc44f646f6e3cd6921f50c3903c86d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4711944aa361bd9f2ed566b24c6888ec.png)
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名校
9 . 已知函数
在
内恰有两个不同的零点
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97dad16e4910ec15add074c4077b0e86.png)
__________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d052f5c44e99d0dbe66f438388c517c2.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4dbd5e98eface20d7122a32d21a477f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b23efa380a58dc9663ba06dc249ce721.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97dad16e4910ec15add074c4077b0e86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d052f5c44e99d0dbe66f438388c517c2.png)
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2024-06-03更新
|
358次组卷
|
2卷引用:辽宁省丹东市东港市第二中学2024届高三下学期高考热身考试数学试卷
2024高三下·全国·专题练习
10 . 为培养学生的阅读习惯,某校开展了为期一年的“弘扬传统文化,阅读经典名著”活动.在了解全校学生每年平均阅读了多少本文学经典名著时,甲同学抽取了一个容量为10的样本,并算得样本的平均数为5,方差为9;乙同学抽取了一个容量为8的样本,并算得样本的平均数为6,方差为16.已知甲、乙两同学抽取的样本合在一起组成一个容量为18的样本,则合在一起后的样本平均数为______ ,方差为______ .(精确到0.1)
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