名校
1 . 已知等边
的边长为2,点D,E分别为
,
的中点,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ca3bb1441294496c724723aa3efb244.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e68028d33ab8a11b4cd40ecfdd253b1d.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
2 . 下列命题
①:若复数z满足
,则
;②:若复数z满足
,则
;
③:若复数
,
满足
,则
;④:若复数
,则
.
其中正确的是( )
①:若复数z满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fadc63d9b1f570fa9fe59c27f926590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76a89495c19be4f58ee3f60940f9765f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bebb6b7b4cbc9c62bbf990d693efeee7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76a89495c19be4f58ee3f60940f9765f.png)
③:若复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8451ae169c9720ea165d3270a484d830.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e13d477ec252f1952efd7d97425bf40c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76a89495c19be4f58ee3f60940f9765f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c6a3270395a801849e2352c6495ba83.png)
其中正确的是( )
A.①③ | B.②③ | C.①④ | D.③④ |
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3 . 已知集合
,
,则
的元素个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e956ddf873e0bdb78f2ab69cdf802fef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e07be5e293e6e6f397daf37c9d52d8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
A.![]() | B.0 | C.1 | D.2 |
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4 . 已知函数
.
(1)当
时,求
在
处的切线方程;
(2)讨论
在区间
上的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0063b94e713b09a2a82c30fa6b14777.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5095a28bb1b91bf6bed9e2cfbd76bb18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1803dc3c76fd2b51696647aa18602412.png)
(2)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fab11f38ab8593932082ec4d9c8c91f.png)
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解题方法
5 . 若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a582a259cd60140610f861e6cf2821c.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de5249b047960b0340b07bb14004d15a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a582a259cd60140610f861e6cf2821c.png)
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解题方法
6 . 已知
满足
,且
的面积
,则下列命题正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f8a67ea8cd1eb60780e12c769069245.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/024bae8fe1437f7f99ee273b903236f9.png)
A.![]() ![]() |
B.![]() ![]() ![]() ![]() ![]() |
C.![]() ![]() |
D.![]() ![]() ![]() |
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7 . 已知圆锥的侧面展开图是一个半径为5,弧长为
的扇形,则此圆锥的体积是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d80f16c3278cd252725625dcf253cda.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
8 . 已知
,则
的最小值为__ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/606ef9cb8c9c4f61ab2acc4c11fec693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eed2559a1d287e215f2e82a27f20e666.png)
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9 . 已知复数
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92d00a11c50d7fc99df35bf199c2e4b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/882bff376e1d71865bd23b747ef78a66.png)
A.![]() | B.2 | C.![]() | D.5 |
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解题方法
10 . 已知
为双曲线
的左、右焦点,过
的直线l与双曲线的渐近线交于A、B两点,满足A,B均在y轴右侧,且
为正三角形,则双曲线E的渐近线方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ef66f4832adc43902055a7e6d258037.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3c07ebcbfacda073208d483c58e8a84.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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