解题方法
1 . 已知
,且
,则
的取值范围是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66b9b45c3ef66b352bfbca105eec7ac9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d42563907db16bc75b6532fab0911143.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9f2416d1f75a45a314331146550832e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
2 . 若定义在区间
上的函数
满足:对于任意的
,
,都有
,且
时,有
,若
的最大值为
,最小值为
,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0e1deb17f009710a8f1ce2b4f4ff2ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ff3722c8695bb7156d956ba2dd2a9af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cd4b42a4e92dcce62ee7377651f2d47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/593fe2e851566eea2fe438e509f185ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.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/3ae0f8520349250a31be6d58542ef2d9.png)
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解题方法
3 . 幂函数
,
,则下列结论正确的有( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79697f1404961d65ecf831cee5f9792e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fee9e71a4c714607f4b7af44337c411.png)
A.![]() | B.函数![]() |
C.![]() | D.函数![]() ![]() |
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4 . 计算![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e24450a79ae6af098b01117001e4d289.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e24450a79ae6af098b01117001e4d289.png)
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5 . 在平面直角坐标系
中,设点
是椭圆
上一点,以M为圆心的一个半径
的圆,过原点作此圆的两条切线分别与椭圆C交于点P、Q.
(1)若直线
的斜率都存在,且分别记为
.求证:
为定值;
(2)探究
是否为定值,若是,则求出
的最大值;若不是,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22962a2ad892cb6b14ab039a06e8cdc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8e643123a5f7a219e2a3f4270fe1dc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8176754726d2194c890e80df1a1f1c3a.png)
(1)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/139c0ae68e597571ba72ef727fa9222c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90963760acac7bfad3ae03088c6c80b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4757181824e15e0f21e5bdd55448783.png)
(2)探究
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5f6c5fd93aed88bec58002a20ea2e90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bab77b1212086d7b16e288f73a09560.png)
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解题方法
6 . 在平面直角坐标系中,军营所在区域的边界为
,河岸所在直线方程为
,将军从点
处出发,先到河边饮马,然后再返回军营,如果将军只要到达军营所在区域即回到军营,则这个将军所经过的最短路程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c960fc862fd36db83082f5c50cd604b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32366143230ca122894a4bada7c7b96d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
7 . 下列结论正确的是( )
A.![]() ![]() ![]() ![]() ![]() ![]() |
B.直线![]() ![]() ![]() ![]() |
C.直线![]() ![]() ![]() |
D.与点![]() ![]() |
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8 . 在数列
中,已知
,
.
(1)求数列
的通项公式;
(2)设
,求数列
的前n项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ed033d74c85a45e7e5547427038eef.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94a43068696fa7932a209863fc23efe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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9 . 两圆
与
的公切线有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/588c69b6098aad9ab2bfea8089d7377b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffe459ab8ef62ff800a2495c935e8f3d.png)
A.1条 | B.2条 |
C.3条 | D.4条 |
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10 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2626a5bdd100424d2416a665ba0e9518.png)
,直线
是其图象的一条对称轴.
(1)求
的值;
(2)用五点作图法列表画出函数
的草图,并写出函数在
上的单调减区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2626a5bdd100424d2416a665ba0e9518.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cff943f39a23f4c92785bfab754a5773.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7de633b2c143b9f76b29cde1c6ffce71.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
(2)用五点作图法列表画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f55cfcbb5c5950e18a8452b38bb17036.png)
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