1. 1 quadratic radical

Pre-class test:/kloc-0 1.c2.c3.a4.d5.a6.b

After-class test: 1. A2。 C3。 C4。 √ 345.36.√ 227.58. According to the meaning, it is 1-2x≧0, X+2≦-2.9. ( 1) ∵.+AD？ =√5? +a？ =√25+a； (2) When a=3, AC=√34 (m). Comprehensive promotion: 10. (1) omitted; (2)8 items (all equal to 5 in length).11. C=3, {b-2a+3=0{a+b-2=0, while A = 5/3, B = 1/3, ∴.

Pre-class test: 1.b2, b3.c4.a5.d6.a

After-class test: 1. B 2。 B 3。 A 4.2 5.4 6.3 7。 The original formula = 3-3 √ 3+3 √ 3 = 38. xy = (√ 3+√ 2) (√ 3-√ 2) =19. Original formula = 4.

Comprehensive promotion: 10. Original formula = (√ 2-1)+(√ 3-√ 2)+(√ 4-√ 3)+...+(√ 2016-√ 2015) = √ 2066. ABC Trilateral, √

Pre-class test:/kloc-0 1.b2.c3.b4.c5.d6.d

Test after class: 1.b2.b3.d4.4 √ 65. √ 36.√ 4 1.7.√ 308.( 1) 6.√ 5; (2)40 9. When x=0, y=√3, when y=0, x=√2, ∴OA=√2,OB=√3, ∴AB=√OA? +OB？ =√5.∵S？ AOB=OA OB/2=OD AB/2，∴OD=OA OB/AB=√2×√3/√5=√30/5。

Comprehensive promotion: 10. (√m/n+√n/m)？ =m/n+n/m+2=(m+n)？ /mn①, substitute Mn = 2 and m+n = 5 into ①, (√m/n+√n/m)? = 25/2.√ m/n+√ n/m ≥ 0，∴√m/n+√n/m = 5√2/2. 1 1。 Sort out the known equations and get (√ a-65438+) +(√b-2)? +(√c-3)？ = 0, ∴ {√ A- 1 = 0 {√ B-2 = 0 {√ C-3 = 0, and the solution is {a= 1, B = 4, c = 9 ∴ a+b+c =/kloc-.

1.3 Operation of Quadratic Radical (1)

Pre-class test:/kloc-0 1.C2.B3.A4.A5.C6.B

Test after class:1.b2.b3.c4.2 √105.6 √ 36.87.x = 2 √ 28. Original formula =3√8=6√2 9. Easy to get AC=√3, CD= 1, then CD/.

Comprehensive improvement: 10.x=2 1 1. Original formula = √ [(√ 5+2)] 2015th times = √ (5-4) 2015th times = 654438 times.

Pre-class test:/kloc-0 1.b2.b3.c4.d5.b6.b

Test after class: 1.C2.D3.D4.-3 5. √ 2 6.47.( 1) 3/2; (2) 14+2√5 8.( 1) 1-√3 9.( 1) ∵? ABD is isosceles Rt? ，∠ A = RT ∠，AB = ∠ 3，∴ AD = ∠ 3，BD = ∠ 2ab = ∠ 6，CD = 2 ∠ 3。 ∴ quadrilateral ABCD perimeter = 4 ∠ 3+∠ 6; (2)S quadrilateral ABCD=S? ABD+S？ Bcde =1/2adab+1/2bdbc = 3/2+3 = 9/2 Comprehensive promotion: 10. √(√7+√6)(√7-√6)=(√5-)ACG and Rt? In ACD, CG =a? +(a+b)？ ，AD？ =b？ +(a+b)？ ,∴AD？ -CG？ =b？ -a？ =3.∫S squared ABFG+S squared BCDE=a? +b？ = 7, ∴ B = ∴ 5, A = ∴ 2, ∴ EF = B-A = ∴ 5-∴ 2 1.3 Operation of Quadratic Radical (3)

Pre-class test:/kloc-0 1.a2.c3.d4.c5.d6.c

Test after class: 1.C2.D3.D4.-3 5. √ 2 6.47.( 1) 3/2; (2) 14+2√5 8. 1-√3 9.( 1) ∵? ABD is Rt? ，∠ A = RT ∠，AB = ∠ 3，∴ AD = ∠ 3，BD = ∠ 2ab = ∠ 6，CD = 2 ∠ 3。 ∴ quadrilateral ABCD perimeter = 4 ∠ 3+∠ 6; (2)S quadrilateral ABCD=S? ABD+S？ BCD = 1/2AD AB+ 1/2BD BC = 3/2+3 = 9/2

Comprehensive promotion: 10. √(√7+√6)(√7-√6)=(√5-√4)= 1，ABFG√7+√6√。 ACG and Rt? In ACD, CG =a+(a+b)? ，AD？ =b？ +(a+b)？ ,∴AD？ -CG？ =b？ -a？ =3.∫S squared ABFG+S squared BCDE=a? +b？ =7，∴ef=b-a=√5-√2 ∴b=√5,a=√2

Note: the reference answer is to let students better understand the problem-solving method, not to let students copy it. In the long run, students will not make progress.