1 . 复平面上动点
的轨迹为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22580fce96922c7b5b41391fa0222168.png)
A.圆 | B.椭圆 | C.双曲线 | D.抛物线 |
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2 . 设经过定点
的直线
与抛物线
相交于
、
两点,若
为常数,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d811e3371b79f5bd7a816acfa3aa4d0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.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/537a720ac4508b5ba43279509bb02176.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
3 . 若动点P(x,y)以等角速度
在单位圆上逆时针运动,则点
的运动方程是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae582bd27ce0354d68ea35974d757b66.png)
A.以角速度![]() | B.以角速度![]() |
C.以角速度2![]() | D.以角速度2![]() |
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4 . 已知点
满足
.则点
所在区域的面积为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee82283f06cedef32eb15b87964f5d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d48a13279c44acb0baeca7fc9a76fd76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee82283f06cedef32eb15b87964f5d2.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . 称联结椭圆上两不同点的线段为椭圆的一条弦.则椭圆
上长为
的弦的中点的轨迹方程为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c82e7d9f4f7ace849e09e9adcb786b7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
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6 . 设锐角
满足
.令
,且令
,
、
为任意正实数.证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a44c8eb08b253c1c92163ae04b7f45f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2adc8b386a6de97e6d04c7057c13803.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cb7d1d8d3e710a664de5d312b733bae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3e798612e0276022aaedf44826c2481.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10b4f24f8545981f4fda173d6a90caf2.png)
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7 . 若
为正实数,
,满足
,则
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2157c1d1295e762906ef99295ade2b27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b68f234cb71a7aef16954639980db96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3b09862793760d17bc7d413dfcb2b98.png)
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8 . 已知动点
在椭圆
的内部,过
作椭圆的弦
.证明:
、
中必有一个不超过
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3c9708ef0dc6d6f5dcf6596d3e4f6e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/441f8aa7df5c6dee72692429f8e01db4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d063ec7f9dbeba72fabf4437f9400e07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3ce8eed2660a33465a7f764e76cdba8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c222550cd67b33e01e72b7f1331dd2b7.png)
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9 . 已知单位圆
上三个点
,
,
满足
.则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2499f2c837c79b4a3234304e7274b82.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df332f01628130c084fd46aaca0a4b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c16dac1e9bf5804c8907cbc59014d04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e79718083af8cb21877878f9170142e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2499f2c837c79b4a3234304e7274b82.png)
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