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The chrysanthemum leaves, which are wrapped in small leaves at first, slowly open the leaves after a few days, and then begin to grow slowly, and finally become large leaves.
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Let's start by discussing whether the point (2,0) is a point on the curve? If so, the calendar is divided into: tangent lines when tangent and non-tangent branches are matched.
To be continued. Set the tangent point to be sharply rotten, and the process of finding the tangent line is as follows:
Perform the detailed operation to find y. For example.
This kind of operation with roots can only be practiced to make perfect.
For reference, please smile.
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y=2x-x^3
y'=2x-3x^2 (1)
Crossing point a(2,0).
Tangent equations. y-0=m(x-2)
y=m(x-2)
p(x0,y0) on y=2x-x 3.
y0= 2x0-(x0)^3
The slope of the masking code of the PA = y'(x0)
y0-0) (x0-2) =2x0-3(x0) 22x0-(x0) 3) auspicious and open(x0-2) =2x0-3(x0) 22x0-(x0) 3 = 2(x0) 2-3(x0) 3 - 4x0+6(x0) 2
2(x0)^3-8(x0)^2+6x0=02x0.[(x0)^2-4x0+3]=0
2x0.(x0-3)(x0-1) =0
x0=0 or 3 or 1
x0=0, y0=0 =>m=0
x0=3, y0=-21 =>m=-21
x0=1, y0=1 =>m=-1
Tangent equations. y=m(x-2)
iey=0 or y=-21(x-2) or y=-(x-2)
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<> only requires the tangent oblique rise tremor rate, and the tangent equation can be calculated.
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Let the tangent point be (a,2a-a), the slope is k,y=2 -x,y =2-3 ,k=(2a-a -0) (a-2)=2-3a ,2a-a =2a-3a -4+6a ,2a -6a +4=0,a -3a+2=0,(a -1)-3(a-1)=0,(a-1)(a +a+1)-3(a-1)=0,(a-1)(a mu liter+a-2)=0,(a-1) (a+2)=0,a=1 or a=- 2. When a=1 and k=-1, then y=-(x-2) i.e.
x+y-2=0;
When a=-2 and k=-10, then Xunxian old y=-10(x-2) that is, 10x+y-2=0, in summary, the tangent equation is vertically rented
y-2=0 or 10x+y-2=0.
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Let the tangent point be (a, b).
The tangent is on the curve.
Pin only hail mountain refers to b=-a +2a, that is: (a,-a +2a) curve derivation: y'=-3x² +2
The slope of the tangent line is determined by the geometric meaning of the derivative to be :
k=-3a² +2
The tangent equation passes through the point (2,0).
a +2a-0) (a-2) = -3a +2 multiplication (a-2): -a +2a = (a-2) (-3a +2) to get 2a -6a +4 = 0
2[(a³-1) -3(a²-1)]=0
2(a-1)(a²-2a-2)=0
Solution: a=1 or a=1 3
The tangent equation obtained from the point oblique equation is: y - 0=(-3a sail loss + 2)(x - 2).
Substituting a yields: y=(-3+2)(x-2)=-x+2 or y=(6 2 3)(x-2).
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Okay, the bag is what you like, whenever you have to accompany me all winter, call ** to me before you come.
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There are a lot of sixth questions, and the sixth question is math, English, and Chinese, what do I have?
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I think I'm very important about how we do business, and you say she has a girlfriend and a person? Did I choose to give up or not love myself? I don't care if I can get it or not!
I don't want to be greeted and greeted like this again! Whether you can really understand that we will all do.
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Multiply i on both sides of the equation at the same time to become 3i-4=-zI think it will be after that.
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The method is shown in the figure below, please check it carefully, and I wish you a happy study:
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20:30 is 8:30 p.m., so Long Long goes to bed early...
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Long Long, because 9 p.m. is 21 o'clock.
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<> this world, the Shen Hall is looking for a respect.
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<> Ru shouted for the map, Zheng quietly destroyed the skin.
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<> is like a cavity to celebrate Wu Feng and clear it.
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No current can be stored in the circuit, that is, every point in the circuit"Inflow"How much current, inevitably"Outflow"How much current.
ir=i4+i5.The brought in data calculates i5 = (since the reference direction is selected, the brought in data must also be signed).A negative sign indicates that the actual current direction is opposite to the selected reference direction.
Students still have to work hard, this is the easiest topic.
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This topic is not difficult to write, but it is more difficult to write well, first of all, the word count requirement. You can discover a secret around me, and this secret is that I have a pair of magical eyes, through which you can find the love of your family, or your magical ears to listen to the voice of the grass, etc.
If the word count requirement is relatively small, you can have a small incident with your parents after an awkward fight, your parents beat yourself, and the tears in your parents' eyes after beating show your parents' love or something.
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Nature is like a kaleidoscope, and all kinds of natural phenomena appear around us from time to time, but the most memorable thing for me is the secret of mimosa's shyness.
One day, my mother bought a pot of mimosa, which grew very luxuriantly, and I liked it very much, and I thought it was a strange name, and I thought it was very shy? Once, I touched its leaves with my hands, and the moment I touched them, the leaves closed together. I touched the other leaves, but the situation was exactly the same as before, the leaves were all closed.
I turned the fan up again to blow its leaves as hard as possible, and the leaves all closed.
I thought: Why do the leaves of mimosas close together? Is mimosa as shy as a timid little girl?
Creak? Why is there so much water in it? I went online again to check the information, and after checking for a long time, I finally found out the reason:
Mimosa has a lot of water in its leaves and petioles, and if you touch its leaves, the water in the leaves will flow elsewhere, so the leaves will curl upwards. Conversely, when the petiole is touched, the entire leaf droops. That's when I realized that mimosas weren't shy, but protected themselves, and I was very excited because I caught another small fish in the ocean of knowledge.
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It's too vague, the child is still good at this kind of topic, and it is still very simple if you listen carefully to the class.
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