曲面,空间曲线,空间直线 Flashcards

1
Q

旋转曲面方程的技巧

A

例题

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2
Q

双曲线绕x轴、z轴形成的旋转曲面方程

A
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3
Q

单叶双曲面形成的图形

A
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4
Q

旋转双叶双曲面形成的图形

A
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5
Q

抛物线绕z轴形成的旋转曲面图形

A

注意要将碗面与锥面区分

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6
Q

维维安妮曲线如何形成?

A
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7
Q

螺旋线参数方程

A
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8
Q

投影柱面归纳

A
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9
Q

空间曲线在平面投影形成投影曲面的例题

A
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10
Q

求空间直线方程的例题

A
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11
Q

直观认识:球面方程

A
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12
Q

直观认识:椭球面方程

A
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13
Q

截痕法:用垂直于哪个轴的平面切,就把该轴的量变成常数

A
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14
Q

直观认识:圆锥面、椭圆锥面 方程

A
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15
Q

要注意区分:圆锥、旋转抛物面方程

A

利用截痕法可以得出

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16
Q

直观认识:锥面抛物面方程

A
17
Q

直观认识:单叶双曲面双叶双曲面方程

A
18
Q

直观认识:曲面方程方程

A
19
Q

直观认识:双曲抛物面 (马鞍面)方程

A
20
Q

曲线方程->旋转曲面方程的重要结论:绕哪个轴,会发生什么变化….?

A
21
Q

空间曲线总结:

A
22
Q

例题:曲线转换成曲线方程-重要结论

A
23
Q

例题:通过方程判断图形

A
24
Q

空间曲线 :

A
25
Q

空间曲线 : 什么是螺旋线?

A
26
Q

空间曲线 :空间曲线在坐标上投影

A
27
Q

例题:空间曲线 -求投影方程

A
28
Q

例题:空间曲线 -求投影方程

A
29
Q

平面曲线 、旋转曲面、空间曲面、投影曲线的关系

A