名校
解题方法
1 . 下图数阵的每一行最右边数据从上到下形成以1为首项,以2为公比的等比数列,每行的第
个数从上到下形成以
为首项,以3为公比的等比数列,则该数阵第
行
所有数据的和![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9f1ad18371ec533aeac27cf1fad95c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89ba85f74cda4ddd621278e558bc036f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
您最近一年使用:0次
2 . 过圆锥
高的中点
作平行于底面的截面,则截面分圆锥
上部分圆锥与下部分圆台体积比为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef49a3ca580a144cc65a609c167facc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12fe32dfbd66709875c5b9f79c9496da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef49a3ca580a144cc65a609c167facc1.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
3 . 当
时,
恒成立,则实数
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb48434bdcafb5e084fc0b6396cb9469.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce3ede9c5ca26ccdce91072903c98eea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
4 . 一个质点在随机外力的作用下,从平面直角坐标系的原点
出发,每隔1秒等可能地向上、向下、向左或向右移动一个单位.
(1)共移动两次,求质点与原点距离的分布列和数学期望;
(2)分别求移动4次和移动6次质点回到原点的概率;
(3)若共移动
次(
大于0,且
为偶数),求证:质点回到原点的概率为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
(1)共移动两次,求质点与原点距离的分布列和数学期望;
(2)分别求移动4次和移动6次质点回到原点的概率;
(3)若共移动
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecdf6b8b576c0fd62d55612390b4d6e6.png)
您最近一年使用:0次
名校
解题方法
5 . 抛物线
上的动点
到直线
的距离最短时,
到
的焦点距离为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4dd4670828f75bc573b52cdd02e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c608def11fa0e2b34f05592ef1d11fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
6 . 用
能组成没有重复数字且比32000小的数字( )个.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9f44afd045c047c39b365a800b58793.png)
A.212 | B.213 | C.224 | D.225 |
您最近一年使用:0次
名校
解题方法
7 . 在
中,角
的对边分别为
,且
.
(1)求角
的大小;
(2)若边
,边
的中点为
,求中线
长的最大值.
![](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/d3fe37837e273544aa6b4be3ec860de3.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若边
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6de1d395e6c48c0676a1488a299479d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
您最近一年使用:0次
名校
8 . 点
为等轴双曲线
的焦点,过
作
轴的垂线与
的两渐近线分别交于
两点,则
的面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f2e83c2e45e771c25adcb58d8475559.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ebaa32f4f1f4f807ca9aeb7fb29951.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
A.![]() | B.4 | C.![]() | D.8 |
您最近一年使用:0次
名校
解题方法
9 . 平面四边形
中,点
分别为
的中点,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1ae536809b1161fd4e83fdc7f42be96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d93949d8a15aca4e79cedb978590571.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca350b37ce33295d78db556087c42d77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ba7ecbb5125952b3ba40fea88752112.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
10 . 若复数
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8884cdeccf84818a97a0612f924e3410.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b0ae55dbe1aabf3016643586be0a7f0.png)
A.![]() | B.5 | C.![]() | D.![]() |
您最近一年使用:0次