名校
解题方法
1 . 如图所示,正方形
是圆柱
的轴截面,且
,已知
为圆柱侧面上的点,则集合
平面
平面
表示椭圆的离心率为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e65ac334119ccd6204402a7aba29a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9849ca2978032a5af95c7f9ce419b594.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d44bf44c1fed6e7f25473fb59304e040.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d077f6da8b2c00b152d4679aa2ed7f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3418873a75f1f48ecde3117eb9f11ad3.png)
您最近一年使用:0次
2 . 从抛物线
上各点向
轴作垂线段,垂线段中点的轨迹为
.
(1)求
的轨迹方程;
(2)
是
上的三点,过三点的三条切线分别两两交于点
,
①若
,求
的值;
②证明:三角形
与三角形
的面积之比为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac62b1ade07205ae2693ec1ab135def.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/927456b0989846a2f1573844bbaa2105.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b05cc4297b34393d18222e7299e8f4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb4638124355b7be66231a604f667f0c.png)
②证明:三角形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/134ef0b1a2669a09f05bd4dc2496f706.png)
您最近一年使用:0次
3 . 已知在平面直角坐标系
中,一直线与从原点
出发的两条象限角平分线(一、四象限或二、三象限的角平分线)分别交于
,
两点,且满足
,线段
的中点为
,记点
的轨迹为
.
(1)求轨迹
的方程;
(2)点
,
,
,过点
的一条直线
与
交于
、
两点,直线
,
分别交直线
于点
,
,且满足
,
,证明:
为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a9e1eb4c3226489d1344321b10b7de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99e2b7fbdd8d0518416851893f47fece.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(1)求轨迹
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e9b5e076078240e0c5ad9763a9824d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/355dffb42861f3e297694f4be77c694c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65d0d57d96fa8a66c58c04c8dfb512fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.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/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d7b816eca15d4b7d060013df53edd53.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/b4d75c711d34d016403fa88dccbb51f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/732dbd8750949827dd4f537eec09ebbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/587b693b82241eb9c32cdbb96c209f33.png)
您最近一年使用:0次
4 . 在平面直角坐标系
中,已知点
,点
(不位于
轴左侧)到
轴的距离为
.
(1)求点
的轨迹方程
;
(2)若圆
与点
的轨迹有且仅有一个公共点,求
的最大值;
(3)在(2)的条件下,当
取最大值,且
时,过
作圆
的两条切线,分别交
轴于
两点,求
面积的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2ba2238d6afe0187534155dd9ac48c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc9fb2f88c1d5ed038af2850f1a33ed6.png)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/449c818c491f1907a27c40ab72cae85b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)在(2)的条件下,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60c12244af190b0a9c8386810593f419.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.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/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
您最近一年使用:0次
5 . 已知定点
,
轴于点H,F是直线OA上任意一点,
轴于点D,
于点E,OE与FD相交于点G.
(1)求点G的轨迹方程C;
(2)过
的直线交C于P,Q两点,直线AP,AQ的斜率分别为
和
,证明:
为定值;
(3)在直线
上任取一点
,过点B分别作曲线C:
的两条切线,切点分别为M和N,设
的面积为S,求S的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c179fe7eff7abfdd092b63c9c1b82d0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7277dcfb480720f2f37413cb0d34d09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09e7ec9f3e17dbb0362a8c9aac629a15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a91621dc26d771853fd1f0d9bdf04c7.png)
(1)求点G的轨迹方程C;
(2)过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edaef66a0582e95fb5c57a405acdea9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e1efe96e7776f1b5dfa92c295f8d97d.png)
(3)在直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eefa44964db83759aff6fc8dd7ef8f28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/906fc0c4a747cfa348986baefbd02752.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42102c1c07562853219ca5918803a27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38d0469336f71edd52dc9148c67db052.png)
您最近一年使用:0次
解题方法
6 . 已知圆
,过
的直线与圆
交于
两点,过
作
的平行线交直线
于
点.
(1)求点
的轨迹
的方程;
(2)过
作两条互相垂直的直线
交曲线
于
交曲线
于
,连接弦
的中点和
的中点交曲线
于
,若
,求
的斜率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77178147cc153b64efca477304749b89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/254d90ef7eba319615e1fd6e01f6abd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d96ef8e714af322b2513088d1e39d90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ce8e311fba25aaed846ad7f80565f0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82482c50f0eb9786dcaf880fbd7c24f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28a2ac80f00802614863923e1acf580b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4fd083f28b75df5b833752121d9895.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
您最近一年使用:0次
解题方法
7 . 椭圆
的左、右焦点分别为
,点
在椭圆
上运动(与左、右顶点不重合),已知
的内切圆圆心为
,延长
交
轴于点
.
(1)当点
运动到椭圆
的上顶点时,求
;
(2)当点
在椭圆
上运动时,
为定值,求
内切圆圆心
的轨迹方程;
(3)点
关于
轴对称的点为
,直线
与
相交于点
,已知点
的轨迹为
,过点
的直线
与曲线
交于
两点,试说明:是否存在直线
,使得点
为线段
的中点,若存在,求出直线
的方程;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/279cefeb5c389a37a71e5fd3925f5954.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1da895d8bd043625a0839128252130d9.png)
(1)当点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb5090bb83d608ab7adfce6b0396b19a.png)
(2)当点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb5090bb83d608ab7adfce6b0396b19a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(3)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d8ad9e94d07405a6be585f81a0d623b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfbdbe9a17a23c44cec8c7475c4dc1a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64b953cbf0af04882e009f09051bbaef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
8 . 在直角坐标系xOy中,已知曲线C:
过点
,且与x轴的两个交点为A,B,
.
(1)求C的方程;
(2)已知直线l与C相切.
(i)若l与直线
的交点为M,证明:
;
(ii)若l与过原点O的直线相交于点P,且l与直线OP所成角的大小为45°,求点P的轨迹方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3666050060fb25232784bb8ed3545ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edaef66a0582e95fb5c57a405acdea9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57dfc9d1109fe41145cc892b5702d9fb.png)
(1)求C的方程;
(2)已知直线l与C相切.
(i)若l与直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eefa44964db83759aff6fc8dd7ef8f28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4563a428e0d34788fca58fb099bc0191.png)
(ii)若l与过原点O的直线相交于点P,且l与直线OP所成角的大小为45°,求点P的轨迹方程.
您最近一年使用:0次
9 . 已知向量
,
,点
,
,直线PD,QD的方向向量分别为
,
,其中
,记动点D的轨迹为E.
(1)求E的方程;
(2)直线l与E相交于A,B两点,
(i)若l过原点,点C为E上异于A,B的一点,且直线AC,BC的斜率
,
均存在,求证:
为定值;
(ii)若l与圆O:
相切,点N为AB的中点,且
,试确定圆O的半径r.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/827d6c0808276067b56de7846dcbfbda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7184fb4ce074837f81fd201778e02a18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0f33f27e2c96f019bc9be1ac55e52f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2fa6cbf90bed6e571ac80af8b89a789.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40a2d319b3547a5e9f483e7f40fed026.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d804313d1359beaed1783c881ac0d02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbbe195f7559f73e7d6eb63b322ab88f.png)
(1)求E的方程;
(2)直线l与E相交于A,B两点,
(i)若l过原点,点C为E上异于A,B的一点,且直线AC,BC的斜率
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d15fc80566442a54ddd883c7c53074b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28e12d4e98345c00e7daf3168eeeb1ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc4d97c09ed0154a1566135d2119fcc5.png)
(ii)若l与圆O:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3503d330608e7138d1b529aba4512fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22299280802f5926690200a606d29cd0.png)
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解题方法
10 . 已知正三棱柱
的所有棱长均为
为
的中点,平面
过点
与直线
垂直,与直线
分别交于点
是
内一点,且
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c1bd8a678857b47bb627e665ce58df5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10d8eb4a9f462ca0c1d49c3fe91e720d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ebf67d880172b27fefacc3c5b808eae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e9f8a4bc5b0fa59ebbc37e595b343bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c105d6ba18fbb0581fb982175e2eac9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77d8f20e432f92b2a12d688d5ed81ec7.png)
A.![]() ![]() |
B.![]() |
C.![]() ![]() |
D.![]() ![]() |
您最近一年使用:0次