名校
解题方法
1 . 已知抛物线
的焦点为
,直线
交抛物线于
两点,
为抛物线
的准线与
轴的交点,直线
分别交抛物线于
两点(点
异于点
,
),
为坐标原点,则实数
的取值范围为__________ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b21b94a2bb768ccbc65c33f9c4ed923.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4dd4670828f75bc573b52cdd02e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c654f3bb56ece42d29a9f14cca37bf40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eb2d74932ede98011219d319f5b9995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.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/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b21b94a2bb768ccbc65c33f9c4ed923.png)
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名校
解题方法
2 . 春节期间,小明一家3口、姑姑一家3口和爷爷,奶奶围坐圆桌聚餐,则在爷爷、奶奶相邻的前提下,小明一家3口均不相邻的概率为__________ .
您最近一年使用:0次
名校
3 . 已知
,若
,使
成立,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ca3f0a4b2d06539e74594736881aaa.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dcbe8b4bcd32e5a64ebfd873f8cbb2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c43f45b7b6ad276af317b62deb0403aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd19790a2ff5a3f0e4bbb4770cbfeca5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ca3f0a4b2d06539e74594736881aaa.png)
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解题方法
4 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93918f73a3af7826e2c6ec8212521a59.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94fa850e7e30972b366f4490ef588bb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93918f73a3af7826e2c6ec8212521a59.png)
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解题方法
5 . 已知
,
是
的导函数,即
,
,
,
,
,若当
时,
,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbe4dc18b2a86c73a82cde3c5cbfe1c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70d5b8931a8e00ee76722cb0822033df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e89220eb96a4757f2988362bc04e80c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b33f0c7490787eac519d812f60fb5dc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9a7fe45a9eb922240ea9dd3d88b0971.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37e5531913e2f170465d8df01795cd51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0b899c8748d0d05b4a2a0c66184c341.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930bc56406e69b785b37a83d48e36724.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66692ec49a458f9e48c7315d03dfc37b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5203ca829eddff4e24307a50c6b0bc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
6 . 若
,椭圆
与双曲线
的离心率分别为
,
,则
的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce64fa0d35183e9cea4b93bef8b53fe1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a2c39732beed1dbcede283901b55c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4760ac9dfcdef7fe0a3dfe1e75b96ddb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d33558881906c228c262ff8024dcfc4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a33a99190a8fd29c36d5a002e3197cc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64478547eef44fbcea5a4a6038d3dc9e.png)
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7 . 已知圆
和圆
,观察可得它们都经过坐标原点
,除此之外,它们还相交于一点,这点的坐标是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffd767240a603ca0c0db5567707eb704.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72c52ae4f01e98276ec3cf114ef15861.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87b6a9ffffc0c461881b427c543924cd.png)
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8 . 在双曲线
中,
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d6aeaa05d6032fb4aebbeefdc2e5022.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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解题方法
9 . 直线
与直线
平行,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0763e2e3a6942da43800eeedb45116d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25c971007a631857e3a49c12cc08477a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
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10 . 双曲线
的焦点坐标是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ee32a4a16c2a82defb58faf05f44dcf.png)
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