1 . 如图,在平面四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
中,已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42c2d86d8daea5e652d99fe1c6bc3f9a.png)
分别是棱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a337a934b801730321f67b0e5a0b144f.png)
的中点,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/207551e47a49ebdf447aab8cba24e560.png)
,设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0048a0a64059e3025b004671a1f1cbd.png)
,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b5e3d14fb4911c1f590fe518df1fa4b.png)
的最大值是
________.
2016-12-05更新
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1744次组卷
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1卷引用:2016届浙江镇海中学高三5月模拟数学(理)试卷
2 . 如图,已知曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/497aceb0440d794dfedf2cdd42e131ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab03556c333ab0b55fe86c937b2a5763.png)
及曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fc9e65f2fa9af923d5db7cff37782d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab03556c333ab0b55fe86c937b2a5763.png)
,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
上的点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
的横坐标为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9993f6dc979bfbe11ca160daf225d6a0.png)
.从
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
上的点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf83e20035c3afd6d26ebfd53d768a70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f79dc80683f49c71b505e4bb711dbbb8.png)
作直线平行于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
轴,交曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
于点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15520cf5be7c2685975aac51bc99ac4f.png)
,再从点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15520cf5be7c2685975aac51bc99ac4f.png)
作直线平行于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
轴,交曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
于点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c15016fc7de1cd5971b7d38c70071e9.png)
,点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf83e20035c3afd6d26ebfd53d768a70.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c87b351f16728b0023fd63678f8103c7.png)
,2,3……)的横坐标构成数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
.
![](https://img.xkw.com/dksih/QBM/2016/3/8/1572525822836736/1572525829177344/STEM/b12a6ba397f64d30b29f8afd385551f4.png?resizew=246)
(1)试求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/090426eb29836bc30c006b3739c08057.png)
与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
之间的关系,并证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04e22720a7250e79903635cb6eb368b6.png)
;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14835bf3f00139ccec0694d0924db795.png)
,求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/265ec3d91f1abd3cb756888d21ee7ae3.png)
.
2016-12-04更新
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1310次组卷
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1卷引用:2016届浙江省温州市高三一模理科数学试卷