The last problem in mathematics must be the combination of sequence and a knowledge point: this knowledge point may be one or more of the following: trigonometric function, compound function (logarithm, exponent, quadratic mixture), limit (most likely sequence) and conic curve.
Regardless of whether this kind of question meets the proof, write "When n= 1, the tested proposition holds". No proof is needed, and no one will be there. Hehe, this is1; Then write "suppose n = k(k >；; = 1), the proposition holds, namely: ... (Just bring K in at this time) ". This is also 1. Then you are pushing back three steps, and the last line says, "From above, the proposition holds when n=k+ 1". The average teacher will definitely read it when he sees that you have written so much. The more you read it, the more reasonable it becomes. I believe you can get more than half of this question. Often in the case of not being able to do it at all, I got 7 points in the last math problem. Hehe, I recommend it.
The penultimate problem in mathematics, 98% is the conic problem: the first problem is usually to find the conic equation, and the second problem is divided into three situations: 1, to find the range of parameters, 2, to find another conic, and 3, to prove a proposition.
The first question usually uses 90% definition method, and more than 95% uses the second definition method. There are two ways to ask the second question: (I summed it up myself, the name is a bit strange ~, hehe) 1, without Vader setting: 1, connect the linear equation with conic curve, write the sum of x 1.x2, and substitute it into the known relationship to get it. 2. Difference method: Write the equation of x 1 (from the first question) and the equation of x2, and subtract it to write y1-y2/x1-x2 = k (y1+y2/x1+x2). Y 1+y2/ x 1+x2 is unique, and y 1- y2/ x 1-x2 is the slope. That's what it says.
The last problem in physics is the deflection of charged particles in magnetic field, which has been going on for four years. There are three steps in this problem: finding the radius, finding the center of the circle and finding the critical state. Because this kind of question is very flexible, there are many questions to be done, and it is simpler to use the reference circle. In my experience, there is a great possibility of taking the electromagnetic induction test next year. This kind of problem can be divided into rod cutting and induced generation. To distinguish who is the power supply and who is the motor, take the resistance of the bar as the internal resistance of the power supply and solve it.
The penultimate question is not necessarily, there are three possibilities: 1, the problem of closed-loop ohm's law. For this kind of problem, we should draw the equivalent circuit diagram, and grasp that the potential of the electrical appliances passing through is reduced and the potential on the same wire is the same. In addition, we must pay attention to the function of the capacitor connected to the circuit and the difference when charged particles pass through. 2, the topic of electromagnetic induction. I have already said it, so I won't repeat it now. 3, the combination of momentum and kinetic energy. Generally, springs are used to grasp the original length, critical state and present state. As long as there are words and basic equations, such problems are purely points.
I typed slowly and played for a long time ... as a summary after my exam for the convenience of future generations. I hope you can get something useful. I wish you a good exam next year! Please forgive me if there are any typos. ...