2020·全国·模拟预测
解题方法
1 . 如图,已知长方体
的底面
为正方形,
为棱
的中点,且
,则四棱锥
的外接球的体积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/394c5d2f55221975503be8aa18022480.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c0cf7a89ea148e0481a56f127297bb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/23/22e05d42-e541-4bcd-b997-d549ec91b66f.png?resizew=170)
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2020-11-24更新
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3卷引用:山西省运城市2022届高三上学期入学摸底测试数学(理)试题
山西省运城市2022届高三上学期入学摸底测试数学(理)试题(已下线)2021年届国著名重点中学新高考冲刺数学试题(7)湘鄂冀三省益阳平高学校、长沙市平高中学等七校联考2021-2022学年高一下学期期末联考数学试题
2 . 设
分别为双曲线
的左、右焦点,以坐标原点
为圆心,
为半径的圆与双曲线
的右支相交于
两点,与
的渐近线相交于
四点,若四边形
的面积与四边形
的面积相等,双曲线
的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cabd197d769d62408b492ab538eedd5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bb6bc32483b9b7049dd49bb25c99c78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c82a10b4f0c9323d726804c89dd9548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2bb9c075a320b0fe23145061b1fb0f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c82a10b4f0c9323d726804c89dd9548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2020-03-04更新
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3卷引用:2020届山西省高三2月开学模拟(网络考试)数学(文)试题
2020届山西省高三2月开学模拟(网络考试)数学(文)试题2020届山西省高三2月开学模拟(网络考试)数学(理)试题(已下线)专题11 解析几何小题问题之一面积-备战2020年高考数学二轮痛点突破专项归纳与提高
3 . 如图,在三棱锥
中,
,
,
两两互相垂直,
,点
,
分别在侧面
、棱
上运动,
,
为线段
中点,当
,
运动时,点
的轨迹把三棱锥
分成上、下两部分的体积之比等于
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/30/e0666068-acd9-4a03-8eff-e9bbeabaa6f5.png?resizew=174)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d0b01b7e1749c1e99b0baa8f2cdbddf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4d14c6959273338a048b023805cce80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/30/e0666068-acd9-4a03-8eff-e9bbeabaa6f5.png?resizew=174)
A.![]() | B.![]() | C.![]() | D.![]() |
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6卷引用:山西省怀仁市第一中学云东校区2020-2021学年高二下学期第一次月考(入学考试)数学(文)试题