P is a point out of plane a. the angle difference between PA, Pb and plane a is π / 4. Their projective lengths in plane are 2 and 12 respectively. The distance from P to plane is

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• 1. As shown in the figure, PA ⊸ o is in the plane, AB is the diameter of ⊙ o, C is the point on ⊙ o, and E.F is the point a in the plane PB.PC The following conclusions are given: 1, AF ⊥ Pb; 2, EF ⊥ Pb; 3, AF ⊥ BC; 4, AE ⊥ plane PBC, where the sequence number of the correct proposition is
• 2. If PA = 8, Pb = 5 and OA: OB = 4: √ 3, then the distance from point P to plane a is equal to
• 3. PA, Pb and PC are three rays from P, and the angle between each two rays is 60 degrees. So what is the cosine of the angle between PC and PAB? Which is the angle between PC and PAB and why A proof of the angle between line PC and plane PAB
• 4. We know that the line AB = 8, and there is a point P on the plane. (1) if AP = 5, what is Pb equal to, P is on the line AB?
• 5. PA, Pb and PC are three rays starting from point P. the angle between each two rays is 60 degrees. Then the cosine of the angle between PC and PAB is () A. 12B. 22C. 33D. 63
• 6. Point P is on the vertical bisector of line AB, PA = 7, then Pb=______ ．
• 7. Know a (2,1), B (1,3), find a point P on the x-axis, so that the value of PA + Pb is the minimum, then what is the minimum value?
• 8. Given the straight line L: 2x-y + 1 = 0 and the point a (- 1,2) B (0,3), try to find a point P on L, so that the value of PA = Pb is minimum, and find the minimum value
• 9. Given the points a (- 2,5) and B (2,4), find a point P on the straight line L: 2x-2y + 1 = 0, so that | PA | + | Pb |, and find the minimum value
• 10. Given the points a (- 1,0), B (1,0), P is the moving point on the line 2x-y + 1 = 0. (1) when the vector PA * and the vector Pb take the minimum value, we find the coordinates of the op vector and Co And find the value of COS angle APB (2) if P satisfies PA + Pb = pa-pb, the coordinates of P
• 11. Why are the same chords complementary to each other? How to prove the complementarity or equality of the circle angles of the same chord?
• 12. If a chord of a circle is known to divide the circle into two parts of 1:3, then the degree of the angle of the circle to which the chord is directed is______ ．
• 13. A chord is divided into two parts: 1:4. Find the degree of the circumference angle of the chord
• 14. If the distance from the center O to the chord AB is a, then the diameter of O is a
• 15. Given the set a = {x | - 5 ≤ x ≤ 3}, B = {y | = a-2x-x & sup2;}, where a ∈ R, if a is contained in B, find the range value of real number a RT
• 16. We know that set a = {x 3} and set B = {x 4x + M
• 17. Given the set a = {a, a + D, a + 2D}, B = {a, AQ, AQ & sup2;}, (a is a known constant), if a = B, find the value of D, Q
• 18. If the solution set of inequality MX2 + MX-1 > 0 about X is an empty set, the value range of real number m is obtained
• 19. A polynomial Plus + x2y-3xy2 gives the third power of x-3x2y. This polynomial is
• 20. The following polynomials can be decomposed by complete square A.x²+1 B.x²+2x-1 C.x²+x+1 D.x²+4x+4 What is the factorization of the following polynomials in Liangshan in 2012 A.x²+y² B.-x²-y² C.-x²+2xy-y² D.x²-xy+y²