解题方法
1 . 已知正方体
的顶点均在半径为1的球
表面上,点
在正方体
表面上运动,
为球
的一条直径,则正方体
的体积是____________ ,
的范围是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d8eb37a4dd75318dcbd836395e575bd.png)
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2 . 已知函数
的最小正周期为
,则函数
图象的一条对称轴方程为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aabdcfd7cb767ec62811de7fbcbb4903.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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3 . 已知
,则
在
处的切线方程是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f69e5b72d1d61fee1cd8f15e07b15177.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccc8350b12974ffc8d06fce36d158f02.png)
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名校
4 . 已知双曲线
的左、右焦点分别为
,
,
为坐标原点,双曲线的离心率为2,过
作直线
的垂线,垂足为
,与双曲线右支和
轴的交点分别为
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc80a1525c76e1890d8a4983186e6980.png)
________ ;
的内切圆在
边上的切点为
,若双曲线的虚轴长为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36dc57ee3ad90895adb9ef9d8a558aaa.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a2cfa22139b3e9c9a73500e1ba19f52.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/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e04a6d711600fc4f8a8df876a85cce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](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/bc80a1525c76e1890d8a4983186e6980.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3c07ebcbfacda073208d483c58e8a84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cabea664e61863b3b3279dbce607924e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b10e8abf8690e4b129466ddb918bcc94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36dc57ee3ad90895adb9ef9d8a558aaa.png)
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名校
5 . 已知复数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9b106d8edf801bbcc1c111b855fd986.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b147dda85249c75cd66f1c73bad8645.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9b106d8edf801bbcc1c111b855fd986.png)
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6 .
为虚数单位,若
是以
的实部为虚部、以
的虚部为实部的复数,则
的共轭复数的模长为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7ccfc8f518104f35f29380e47dd3d43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ebad872d85cd71d30b10f22196389a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
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解题方法
7 . 在正方体
中,点P是线段
上的一个动点,记异面直线DP与
所成角为
,则
的最小值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de7d5ef3a3d9a03be91135fc426d57cc.png)
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8 . 已知直线
,直线
,
与
相交于点A,则点A的轨迹方程为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b1b5f4035eea8713b379e2d8dccd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f68e261f470b13396badb3f358488a8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
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9 . 抛物线
上与焦点距离等于3的点的坐标是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
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10 . 若实数a,b,c,d满足
,
,则
的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ed4290447fbdc563027fec2a7f7960c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82bfb41ec717c6782d0968266c665acf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27562a5708b98d015cf417e65dc8e5f0.png)
您最近一年使用:0次