embodiments of the present disclosure will now be described in detail with reference to the drawings . referring to fig1 and 2 , an image lens system 10 , according to an exemplary embodiment , is shown . the image lens system 10 includes , in order from the object side to the image side thereof , a first lens group 100 with negative refraction power , a second lens group 200 with positive refraction power , and a third lens group 300 with positive refraction power . an imaging plane 130 is positioned at the image side of the image lens system 10 . when capturing an image , incident light enters the image lens system 10 , transmitting through the first lens group 100 , the second lens group 200 , the third lens group 300 , and finally is focused onto the imaging plane 130 where an image sensor ( not shown ) such as a charge - coupled device ( ccd ) or a complementary metal oxide semiconductor ( cmos ) is located . the first lens group 100 and the third lens group 300 are fixed . the second lens group 200 is movable . thereby , the effective focal length of the image lens system 10 can be adjusted by moving the second lens group 200 along the optical axis of the image lens system 10 . in particular , the distance between the first lens group 100 and the second lens group 200 along the optical axis of the image lens system 10 increases when the image lens system 10 switches from a wide angle state to a telephoto state . in this embodiment , the first lens group 100 includes , in the order from the object side to the image side of the image lens system 10 , a first lens 102 with negative refraction power and a second lens 104 with positive refraction power . the first lens 102 includes a first surface 51 with negative refraction power , facing the object side , and a second surface s 2 with positive refraction power , facing the image side . the second lens 104 includes a third surface s 3 with positive refraction power , facing the object side , and a fourth surface s 4 with negative refraction power , facing the image side . the second lens group 200 includes , in the order from the object side to the image side of the image lens system 10 , a third lens 202 with positive refraction power and a fourth lens 204 with positive refraction power . the third lens 202 includes a fifth surface s 5 with positive refraction power , facing the object side , and a sixth surface s 6 with positive refraction power , facing the image side . the fourth lens 204 includes a seventh surface s 7 with positive refraction power , facing the object side , and a eighth surface s 8 with negative refraction power , facing the image side . the third lens group 300 includes a fifth lens 303 with positive refraction power . the fifth lens 303 includes a ninth surface s 9 with positive refraction power , facing the object side , and a tenth surface s 10 with positive refraction power , facing the image side . the first lens group 100 , the second lens group 200 , and the third lens group 300 are all made of glass . to ensure that the image lens system 10 have short overall length and high resolution , the image lens system 10 is set to satisfy the following formulas : in the formula ( 1 ), “ lw ” is the overall length of the image lens system 10 , that is , the distance along the optical axis of the image lens system 10 from the first surface s 1 of the first lens 102 to the imaging plane 130 when it is in the wide angle state , “ a ” is the zoom ratio of the image lens system 10 which is the ratio of the effective focal length of the image lens system 10 in the telephoto state to that is in the wide angle state , “ y ” is the maximum height of the image the image lens system 10 generates , “*” means multiply . when the value of “ lw /( a * y )” is too low , the aberration is too difficult to fixed . on the contrary , when the value of the “ lw /( a * y )” is too high , the overall length of the image system 10 is too long . thus , the formula ( 1 ) ensures that the aberration of the image system 10 can be fixed , while the overall length of the image system 10 is short . in the formula ( 2 ), “ fp 1 ” is the effective focal length of the second lens 104 . “ f 1 ” is the effective focal length of the first lens group 100 . when the value of “| fp 1 / f 1 |” is too low , there will be serious field curvature of the image lens system 10 . conversely , when the value of the “| fp 1 / f 1 |” is too high , there will be serious astigmatism of the image lens system 10 , which adversely affects the resolution of the image lens system 10 . therefore , the formula ( 2 ) keeps the field curvature and the astigmatism in a suitable range . in the formula ( 3 ), “ fp 2 ” is the effective focal length of the fourth lens 204 , and “ f 2 ” is the effective focal length of the second lens group 200 . when the value of “| fp 2 / f 2 |” is too low , there will be serious astigmatism of the image lens system 10 . when the value of “| fp 2 / f 2 |” is too high , there will be serious field curvature and chromatic aberration of the image lens system 10 . thus , the formula ( 3 ) favorably limits the field curvature and chromatic aberration the of the image lens system 10 in a suitable range . to balance the overall length , the zoom ratio and the resolution of the image lens system 10 , the image lens system 10 further satisfies the formulas : wherein “ m 2 ” is the maximum movement distant of the second lens group 200 along the optical axis when the image lens system 10 moves from the wide angle state to the telephoto state . “ l 12 t ” is the distance along the optical axis between the first surface s 1 and the fifth surface s 5 when the image lens system 10 is in the telephoto state . in addition , “ ft ” is the effective focal length of the image lens system 10 in the telephoto state . to improve the image quality of the image lens system 10 , the image lens system 10 further includes an aperture stop 400 arranged between the second lens group 200 and the third lens group 300 , a filter 150 next to the third lens group 300 , and a glass cover 160 next to the imaging plane 130 . in one embodiment , the aperture stop 400 is arranged on the eighth surface s 8 of the second lens group 200 and moves with the second lens group 200 . the aperture stop 400 is configured for adjusting light flux from the second lens group 200 to the third lens group 300 , thus to facilitate uniform light transmission to correct coma aberrations of the image lens system 10 . the filter 150 includes an eleventh surface s 11 facing the object side and a twelfth surface s 12 facing the image side . the glass cover 160 includes a thirteenth surface s 13 facing the object side and a fourteenth surface s 14 facing the image side . detailed examples of the image lens system 10 are given below . but it should be noted that the image lens system 10 is not limited to these examples . listed below are the symbols used in the detailed examples : r : radius of curvature ; d : distance between two adjacent lens surfaces along the optical axis of the image lens system 10 , wherein the unit is millimeter ; nd : refractive index of lens with respect to the d light ; v : abbe constant ; conic : coin constant . the third surface s 3 , the fourth surface s 4 , the fifth surface s 5 , and the sixth surface are aspheric surfaces . the aspheric surfaces are shaped according to the formula . x = ch 2 1 + 1 - ( k + 1 ) ⁢ c 2 ⁢ h 2 + ∑ aih i wherein “ h ” is a height from the optical axis of the zoom lens system 100 to the aspheric surface , “ c ” is a vertex curvature , “ k ” is a conic constant , and “ ai ” is i - th order correction coefficients of the aspheric surfaces . table 2 lists the aspheric coefficients of the lens surfaces of the second lens 104 and the third lens 202 . table 3 lists the distance between each lens group when the image lens 10 is at the wide angle state and the telephoto state . wherein “ f ” is the effective focal length of the image lens system 10 , “ d 7 ” is the distance on the optical axis between the first lens group 100 and the second lens group 200 , that is the distance on the optical axis between the fourth surface s 4 and the fifth surface s 5 , “ d 9 ” is the distance on the optical axis between the second lens group 200 and the third lens group 300 , that is the distance on the optical axis between the aperture stop 400 and the ninth surface s 9 , “ d 11 ” is the distance on the optical axis between the third lens group 300 and the filter 150 , that is the distance on the optical axis between the fifth lens 303 and the filter 150 . the spherical aberration , field curvature , distortion , and lateral chromatic aberration of the image lens system 10 when it is in the wide angle state and the telephoto state is shown in fig3 - 10 , wherein the curves “ a ”, “ b ”, “ c ”, “ d ”, and “ e ” respectively represent the lights of wavelengths of 436 nm , 486 nm , 546 nm , 588 nm , and 656 nm . referring to fig3 and 7 , the spherical aberration of the image lens system 10 is between − 0 . 2 mm to 0 . 2 mm . referring to fig4 and 8 , the tangential field curvature and the sagittal field curvature of the image lens system 10 is between − 0 . 2 mm to 0 . 2 mm . referring to fig5 and 9 , the distortion of the image lens system 10 is between − 14 % to 14 %. referring to fig6 and 10 , the lateral chromatic aberration of the image lens system 10 is between − 5 μm ˜ 5 μm . it will be understood that the above particular embodiments is shown and described by way of illustration only . the principles and the features of the present disclosure may be employed in various and numerous embodiment thereof without departing from the scope of the disclosure as claimed . the above - described embodiments illustrate the scope of the disclosure but do not restrict the scope of the disclosure .